in a given year, the rate of flu infection for the general public was 8.3%. And sample of 200 people who receive the flu vaccine, the rate of flu infection was just 3.5%. What conclusion should you draw?​

In A Given Year, The Rate Of Flu Infection For The General Public Was 8.3%. And Sample Of 200 People

Answers

Answer 1

Answer:

[tex]\fbox{\begin{minipage}{10em}Option A is correct\end{minipage}}[/tex]

Step-by-step explanation:

Step 1: Define significance level

In this hypothesis testing problem, significance levels α is selected: [tex]0.05[/tex], the associated z-value from Laplace table:

Φ([tex]z[/tex]) = α - [tex]0.5 = 0.05 - 0.5 = -0.45[/tex]

=> [tex]z[/tex] = [tex]-1.645[/tex]

Step 2: Define null hypothesis ([tex]H_{0}[/tex]) and alternative hypothesis ([tex]H_{1}[/tex])

[tex]H_{0}[/tex] : rate of flu infection [tex]p[/tex] = 8.3% or 8.3/100 = 0.083

[tex]H_{1}[/tex] : rate of flu infection [tex]p[/tex] < 8.3% or 8.3/100 = 0.083

Step 3: Apply the formula to check test statistic:

[tex]K = \frac{f - p}{\sqrt{p(1 - p)} } * \sqrt{n}[/tex]

with [tex]f[/tex] is actual sampling percent, [tex]p[/tex] is rate of flu infection of [tex]H_{0}[/tex], [tex]n[/tex] is number of samples.

The null hypothesis will be rejected if [tex]K < z[/tex]

Step 4: Calculate the value of K and compare with [tex]z[/tex]

[tex]K = \frac{(\frac{3.5}{100}) - 0.083}{\sqrt{0.083(1 - 0.083)} } * \sqrt{200} = -2.46[/tex]  

We have [tex]-2.46 < -1.645[/tex]

=>This is good evidence to reject null hypothesis.

=> The actual rate is lower. (As [tex]H_{1}[/tex] states)

Hope this helps!

:)


Related Questions

Which sentence below is true? A. All trapezoids are squares. B. All parallelograms are squares. C. All squares are rectangles. D. All rectangles are squares.

Answers

Answer:

b

Step-by-step explanation:

Scratchpad
The value of b when solving the equation 2 (b+12)=16

Answers

Answer:

b = -4

Step-by-step explanation:

Divide by 2:

b + 12 = 8

b = -4

Answer:

B = -4

Step-by-step explanation:

Take,

-4 + 12 = 8

Then,

8 x 2 = 16.

What is an equation of the line that passes through the point (8,-8) and is
perpendicular to the line 4x – 3y = 18?

Answers

Answer:

y = -3/4x - 2

Step-by-step explanation:

You put the equation in the slope-intercept form. Remember that the perpendicular slope is the negative reciprocal. You plug in the slope and the point into the slope-intercept formula. Solve for b then plug it into the final formula.

The equation of the line that passes through the point (8,-8) and is

perpendicular to the line 4x – 3y = 18 is;

⇒ 3x + 4y = -8

Here,

The point is (8, -8)

And, The equation of line is, 4x - 3y = 18

What is Equation of line?

The equation of line passes through points (x₁, y₁) and has slope m is;

y - y₁ = m₂ (x - x₁)

Now,

The point is (x₁, y₁) = (8, -8)

And, The equation of line is, 4x - 3y = 18

Put into the slope form as;

4x - 3y = 18

4x - 18 = 3y

y = (4/3)x - 6

Hence, Slope of the given line = 4/3

The slope (m₁) of perpendicular line relationship is;

4/3 * m₂ = -1

m₂ = -3/4

Hence, slope of perpendicular line (m₂) = -3/4

So, The equation of line by using point/slope form is;

y - y₁ = m₂ (x - x₁)

y - (-8) = -3/4 (x - 8)

y + 8 = -3/4 (x - 8)

4 (y + 8) = -3 (x - 8)

4y + 32 = -3x + 24

3x + 4y = -8

Hence, The equation of the line that passes through the point (8,-8) and is perpendicular to the line 4x – 3y = 18 is;

⇒ 3x + 4y = -8

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What two integers multiply to be 20 and add to be 12

Answers

Answer:

10 and 2

Step-by-step explanation:

[tex]10*2=20\\\\10+2=12[/tex]

Answer:

10 and 2

Step-by-step explanation:

Use trial and error method Or, I recommend finding the factors of 20.

The first ones that come to mid would be:

10, 2

4,5

20,1

Then we try each of them out, by adding the corresponding factors.

this way, we see that 10 and 2 are the only ones.

Please mark brainiest

Paloma ran 33/4
miles around the school track. If each lap is 1/2
mile, how many laps did she run?


Explain how to find the answer.

Answers

Answer:

16.5

Step-by-step explanation:

[tex](33/4)/(1/2)[/tex]=[tex]33/4*2[/tex]=66/4=33/2=16.5

Answer:

16 1/2 or 33/2

Step-by-step explanation:

i divided 33/4 by 1/2 which gave me 66/4 so i simplify it and it gave me 33/2 or 16 1/2

A 38 gram sample of a substance that is used to sterilize surgical instruments has a k-value of 0.113. Find the substance's half-life in days, round to the nearest tenth.

Answers

Answer:

6.13 days

Step-by-step explanation:

Hello,

This question directly relates to radioactivity of a substance.

Data,

k = 0.113

Initial mass (No) = 38g

Half life of the substance (T½) = ?

To solve this question, we don't need the value of the initial mass because the variables in half life (T½) formula does not require it.

T½ = ln2 / k

Note : ln2 is a constant derived while k is the decay constant of the substance

T½ = 0.693 / 0.113

T½ = 6.13 days

The half life of the substance is 6.13 days

What is the area of the rhombus shown below?
O
C
O A. 127.5 square units
O B. 255 square units
BI = 15
O C. 16 square units
A
11.2
O D. 190.4 square units

Answers

Answer:

It's A 100%

Step-by-step explanation:

Took the quiz

Which of the following describes how to translate the graph y = lxl  to obtain the graph of y = lxl -4

Answers

Answer: 4 units down.

Step-by-step explanation:

When we have the graph y = f(x)

We can do verticals translations as:

y = f(x) + a.

if a is a positive number, the new graph for y is moved a units upside.

if we want to do a translation down, we should do:

y = f(x) - a.

Now, our f(x) = IxI, and our translation is:

y = IxI - 4

You can see that we have a subtraction of a positive number (4) so we have a translation of 4 units downwards.

The ages of Hari and Harry are in the ratio 5:7. Four years later from now the ration of their ages will be 3:4. Find their present ages..............................Pls i need help

Answers

Answer:

20 and 28

Step-by-step explanation:

Let x represent the current age of Hari and y represent the current age of Harry

Since the current ratio is 5:7:

5/7 = x/y  

→ 5y = 7x  (1)

Hari's age will be x+4 and Harry's age will be y+4 four years later. Since the ration of their ages will be 3:4 four years later:

3/4 = (x+4)/(y+4)  (2)

→ 3(y+4) = 4(x+4)

→ 3y + 12 = 4x + 16

→ 3y = 4x + 4 (Substitute the y as 7x/5 from the equation 1)

→ 3(7x/5) = 4x + 4

→  21x = 20x + 20

→ x = 20

y = 7x/5 = 7(20)/5 = 28

determine whether the system of linear equations has one solution, infinitely many solutions, or no solutions. Explain your reasoning. y=4x+6, 2y=8x+12

Answers

Answer:

Infinitely many solutions

Step-by-step explanation:

Since you already have y isolated in one equation, you can plug it in and use it in the other equation

2y = 8x + 12

2(4x + 6) = 8x + 12

8x + 12 = 8x + 12

Get the x's to one side

12 = 12

Meaning you have infinitely many solutions.

Try plugging in any x value you can think of and the left side will always equal the right side. so

x = 0 --> 8(0) + 12 = 8(0) + 12

12 =12

x = 1 --> 8(1) + 12 = 8(1) + 12

20 = 20

and so on.

I graphed it here for you and the 2 functions are on top of each other which means at every x value y = 4x + 6 is equal to 2y = 8x + 12

Someone answer ASAP pleaseee

Answers

Answer:

1. (4,2) and (-2,-4)

2. (6,3) and (3,-6)

3. (1,8) and (7,-4)

Step-by-step explanation:

I’ll mark you brainliest!!!! Use the function to find f(-4).

Answers

Answer:1/16

Step-by-step explanation:

So I plugged in -4 for x

f(x)=2^-4= 1/16

hope that helps

The answer is 1/16 :)

Most dietitians recommend that adults consume 20 to 30 percent of their daily caloric intake in protein. Based on this recommendation, what is the minimum amount of calories from protein an adult should consume from an 1,800 calorie diet?

Answers

Answer:

360-540 calories

Which of the following equations is equivalent to S = pi r squared h?

Answers

Q:    Which of the following equations is equivalent to S = pi r squared h?

A:     B  (CC ALGEBRA 2A, ED20)

The equations is equivalent to S = pi r squared h would be; B. h=S/πr²

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

To know the equation equivalent to πr²h, we will make h the subject of the formula from the one given in equation.

S = πr²h

To get h, we needd to divide both sides by the coefficient of h (i.e πr²)

S/πr² = πr²h/πr²

S/πr² = h

h = S/πr²

This equation shows that h = S/πr² is equivalent to S = πr²h

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Please help me with my question!!

Answers

Answer:

B,C

Step-by-step explanation:

The sum of B is 1

The sum of C is -1/2

Let's try each option.

Option A:

-3 + 5 + (-1) = 2 + (-1) = 1

FALSE

Option B:

5 + (-8) + 4 = -3 + 4 = 1

TRUE

Option C:

-19/2 + 9 = -9.5 + 9 = -0.5

TRUE

Option D:

-17 + 36/2 = -17 + 18 = -1

FALSE

So, the correct answers are B and C

Best of Luck!

Select all of the equations for which x = -1 *
1 point
x + 1 = 0
3x = -3
x - 9 = -8
5x = -5

Answers

This’s easy, you just substitute -1 in the equation and see if you get the value in the right...
Right answers:
Equation#1
Equation#2
Equation#4

Help please with this question

Answers

Answer:

The third graph down

Step-by-step explanation:

-2.1 w > 12.81

Divide each side by -2.1, remembering to flip the inequality

-2.1w / -2.1 < 12.81/ -2.1

w < -6.1

There is an open circle at -6.1 and the line goes to the left

Answer: Oops its the 3rd answer, my explanation is wrong but the first paragraph has some decent info

Step-by-step explanation:

I could just give you the answer but I want you to intuitively understand it. W is the variable you are looking for, right. So anything shaded on those number lines is going to indicate the value of w. The answer is that w < -6.1

Negative numbers are a little bit tricky when using less and greater than. But basically, less than means closer to 0 and greater than means farther from zero. So this means that w is every single number less than -6.1, or closer to zero and then continuing on in the postive direction.

Now for the little circle on the -6.1:

A circle that is not shaded in means that this value is NOT included. And we can see that the sign is <, not [tex]\leq[/tex]. So we are going to have an open circle from -6.1 that is going closer to zero and beyond. The first answer fits that criteria perfectly

What is the length of the side labeled x?

Answers

Answer:

AB = 42.15 units

Step-by-step explanation:

In triangle ABD,

By applying Cosine rule in this triangle,

cos(30)°= [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

[tex]\frac{\sqrt{3} }{2}[/tex] = [tex]\frac{AD}{AB}[/tex]

[tex]\frac{\sqrt{3}}{2}=\frac{AD}{47}[/tex]

AD = [tex]\frac{47\sqrt{3}}{2}[/tex]

By applying tangent rule in ΔACD,

tan(44)° = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

tan(44)° = [tex]\frac{AD}{x}[/tex]

0.9657 =  [tex]\frac{\frac{47\sqrt{3}}{2}}{x}[/tex]

0.9657 = [tex]\frac{47\sqrt{3}}{2x}[/tex]

x = [tex]\frac{47\sqrt{3}}{2(0.9657)}[/tex]

x = 42.15

  ≈ 42.2 units

4. Bailey just ran four miles outside. Her time for each mile was 9.05/2,24/10/922. How long did it take for her to run all four miles?

Answers

Answer: 30 minutes, 51 seconds

Step-by-step explanation:

Given the time to run each miles to be

9.05/2,24/10/922. That is

9.05, 2.24, 10, 9.22

Time taken for her to run the entire four miles will be

9.05 + 2.24 + 10.0 + 9.22 = 30 :51

30 minutes, 51 seconds

Let f(x) = 4x2 + x + 1 and g(x) = x2 − 2. Find g(f(x)). Show each step of your work.

Answers

Answer:

the answer to this question is

[tex]8x^{2} +2x[/tex]

£90 is divided between Mark, Henry & Gavin so that Mark gets twice as much as Henry, and Henry gets three times as much as Gavin. How much does Mark get?

Answers

Answer:

Mark gets £54

Step-by-step explanation:

Let Gavin share=x

Henry=3x

Mark=2(3x)

x+3x+2(3x)=£90

x+3x+6x=£90

10x=£90

x=9

Gavin=x=£9

Henry=3x

=3(9)=£27

Mark=2(3x)

=2(3*9)

=2(27)

=£54

What is the measure of AC?

Answers

Answer:

C. 116

Step-by-step explanation:

AC= 58*2= 116

Answer:

C

Step-by-step explanation:

The measure of the inscribed angle ABC is half the measure of its interceptrd arc AC, thus

arc AC = 2 × 58° = 116° → C

Will give brainliest :) What is the domain of the graphed function?

Answers

Answer:

D: { x≥0}

Step-by-step explanation:

The domain is the input values to the function

The domain is the x values

D: { x≥0}

Answer:

Brainliest! as you promised!

Step-by-step explanation:

x>= 0

every number above 0 is a answer becuase the domain is the x-axis and the line starts at 0 and keep on going to the right

when costprice and selling price is given how to calculate weather it is loss or profit?​

Answers

Answer:

Selling price - cost price = profit, when Selling Price is more than Cost Price

Cost price - selling price = loss, when cost Price is more than sellIng Price

Plzzzzz i need help fast

Answers

It is the first third and last


What’s the answer ??

Answers

Answer:

-5^x-3x-6

Step-by-step explanation:

(-5^x - 4 + g(x) ) (x)

(-5^x - 4 - 3x -2) simplified  -5^x-3x-6

Answer:

-5^x -3x -6 = A

[tex]f(x) = - {5}^{x} - 4 \\ g(x) = - 3x - 2 \\ (f + g)(x) = \\ ( - {5}^{x} - 4) + ( - 3x - 2)[/tex]

[tex]( - {5}^{x} - 4) + ( - 3x - 2) \\ - {5}^{x} - 4 - 3x - 2 \\ collect \: like \: terms \: \\ - {5}^{x} - 3x - 4 - 2 \\ [/tex]

[tex] - {5}^{x} - 3x - 6[/tex]

Which of the following shows the graph of y=-(2)^x-1

Answers

Answer:

option c

Step-by-step explanation:

Please answer correctly !!!! Will mark brainliest !!!!!!!!!!!!!!

Answers

Answer:

g(-8) = -62

Step-by-step explanation:

solve for x:

8x +2 = -62 subtract 2 from each side

8x =-64 divide by 8

x =-8

Using the order of operations, what should be done first to evaluate 6 + StartFraction (negative 5 minus 7) over 2 EndFraction minus 8 (3)? Subtract 7 from –5. Multiply 8 and 3. Divide 7 by 2. Add 6 and –5. i neeed help plz

Answers

Answer:

Multiply 8 and 3

Step-by-step explanation:

6+ (-5-7/2) -8(3)

Using the order of operations

BODMAS

•BRACKET

•OFF

•DIVISION

•MULTIPLICATION

•ADDITION

•SUBTRACTION

The first step is to deal with the bracket

Which is

6+(-5-7/2)-24

Next is solve the next parenthesis

6+(-12/2)-24

Next

6+(-6)-24

Next

6-6-24

= -24

Answer:

A is correct answer

Step-by-step explanation:

You roll a twelve-sided die (having values one through twelve on its faces). What is the probability that the value of the roll will be a composite number?

show work pls!
help pls!

Answers

Step-by-step explanation:

Probability

Probability is a measure of the likelihood that an event will happen.

When dealing with probability, the outcomes of a process are the possible results. For example, when a die is rolled, the possible outcomes are 1, 2, 3, 4, 5, and 6. In mathematical language, an event is a set of outcomes, which describe what outcomes correspond to the "event" happening. For instance, "rolling an even number" is an event that corresponds to the set of outcomes {2, 4, 6}. The probability of an event, like rolling an even number, is the number of outcomes that constitute the event divided by the total number of possible outcomes. We call the outcomes in an event its "favorable outcomes".

Probability =

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Novak Corporation is preparing its 2014 statement of cash flows, using the indirect method. Presented below is a list of items that may affect the statement. Using the code below, indicate how each item will affect Novaks 2014 statement of cash flows. Code Letter Effect A Added to net income in the operating section D Deducted from net income in the operating section R-I Cash receipt in investing section P-I Cash payment in investing section R-F Cash receipt in financing section P-F Cash payment in financing section N Noncash investing and financing activity (a) Purchase of land and building. AR-I and DR-IR-F and ADR-F and DP-FP-IR-FNR-I and A (b) Decrease in accounts receivable. R-F and AR-FNR-I and DR-I and ADR-F and DAP-FR-IP-I (c) Issuance of stock. R-FAR-IDP-FR-F and AP-IR-F and DNR-I and DR-I and A (d) Depreciation expense. R-IP-FP-IR-F and DR-FNR-F and AR-I and AR-I and DAD (e) Sale of land at book value. R-F and DP-IADR-FR-IP-FNR-I and DR-I and AR-F and A (f) Sale of land at a gain. DR-I and DNR-IR-FR-F and AR-I and AR-F and DP-IAP-F (g) Payment of dividends. R-I and AP-IP-FDNAR-I and DR-IR-FR-F and DR-F and A (h) Increase in accounts receivable. R-F and ANAP-FP-IR-FR-I and DR-IR-I and AR-F and DD (i) Purchase of available-for-sale investment. ADR-I and DR-I and AR-F and DR-F and AP-FR-FNR-IP-I (j) Increase in accounts payable. R-F and DDR-F and AAR-IP-IR-FNR-I and DP-FR-I and A (k) Decrease in accounts payable. R-I and DNP-FR-F and AR-IR-I and AR-F and DDAP-IR-F (l) Loan from bank by signing note. R-I and DR-I and ANP-IDP-FR-F and DR-F and AAR-IR-F (m) Purchase of equipment using a note. R-F and DP-IR-FR-I and ANR-F and AP-FR-IR-I and DAD (n) Increase in inventory. NR-IP-FR-FP-IDR-I and DR-I and AAR-F and AR-F and D (o) Issuance of bonds. AP-FR-F and DNR-I and DR-F and ADR-FR-IP-IR-I and A (p) Redemption of bonds payable. R-I and DR-I and AR-IR-F and DP-FR-F and ADP-IANR-F (q) Sale of equipment at a loss. R-F and DNR-F and AR-I and DADR-I and AR-FR-IP-IP-F (r) Purchase of treasury stock. At the beginning of the year, Bryers Incorporated reports inventory of $7,700. During the year, the company purchases additional inventory for $22,700. At the end of the year, the cost of inventory remaining is $9,700. Calculate cost of goods sold for the year. Austin has gotten a research assignment from his science teacher. He knows what steps to follow, but he cannot remember the order in which to perform these steps:(1) Come up with a research question.(2) Narrow the topic.(3) Gather sources.What is the correct order?A.(1), (2), (3)B.(3), (1), (2)C.(2), (1), (3)D.(3), (2), (1) 3 Euros can be exchanged for 22.41 Kroners. How many Euros can be exchanged for 100 Kroners? How much would $20,000 due in 50 years be worth today if the discount rate were 7.5%?a. $438.03b. $461.08c. $485.35d. $510.89e. $537.78 Find f(2) if f(x) = (x + 1)2 Which of the following happens when unemployment increases during arecession?A. There's a recovery.B. There's a depressionC. There's a boom period.D. There's cost-push inflationThe answer is B. There's a depression 6= -3 + rsolve for r What is the result of adding these two equations? 2x+3y=-5 5x-y=-12 Can someone please help me! Explain the Error. Find the correct solution.4w (w - 3)+(-5)(w 3) = (w - 3)(4w +5) In some societies, if a husband dies and leaves a wife and children, his widow is expected to practice the custom called the levirate. This means that she is expected to_______________. Please helpAOB = ?BOC = ?BOD = ? please very soon I offer the crown !!! + 10 points urgently !!! A figure is located entirely in the third quadrant if it is reflected over the y axis in which quadrant will it's image lie Chapter 15 Problem 6 PREVENTIVE CONTROLS Listed here are five scenarios. For each scenario, discuss the possible damages that can occur. Suggest a pre-ventive control. a. An intruder taps into a telecommunications device and retrieves the identifying codes and personal identification numbers for ATM cardholders. ( The user subsequently codes this information onto a magnetic coding device and places this strip on a piece of cardboard.) b. Because of occasional noise on a transmission line, electronic messages received are extremely garbled. c. Because of occasional noise on a transmission line, data being transferred is lost or garbled. d. An intruder is temporarily delaying important strategic messages over the telecommunications lines. e. An intruder is altering electronic messages before the user receives them. How are the lydias ice and lyric cycles different please help im having a lot of trouble Given the equation:HHHH H H H H H1H H7C=C/H H++C=C...... -C=C/. C-C-...|TIH H H H H HI-O-II-O-I1HWhich type of reaction is represented by this equation?1.combustion2.esterification3.polymerization4substitutionSubmit Answer A ______ is a push or pull. Which of the following actions is required of boat a whale over taking boat be in darkness or reduced visibility?