Testing the hypothesis, it is found that since the p-value of the test is of 0.3015, which is greater than the significance level of 0.05, the data does not provide enough evidence to show that Alaska had a lower proportion of identity theft than 23%.
At the null hypothesis, we test if the proportion is of 23%, that is:
[tex]H_0: p = 0.23[/tex]
At the alternative hypothesis, we test if this proportion is lower than 23%, that is:
[tex]H_1: p < 0.23[/tex]
The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.In this problem, the parameters are: [tex]p = 0.23, n = 1432, \overline{p} = \frac{321}{1432} = 0.2242[/tex]
Then, the value of the test statistic is:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.2242 - 0.23}{\sqrt{\frac{0.23(0.77)}{1432}}}[/tex]
[tex]z = -0.52[/tex]
The p-value of the test is the probability of finding a sample proportion of 0.2242 or below, which is the p-value of z = -0.52.
Looking at the z-table, z = -0.52 has a p-value of 0.3015.Since the p-value of the test is of 0.3015, which is greater than the significance level of 0.05, the data does not provide enough evidence to show that Alaska had a lower proportion of identity theft than 23%.
A similar problem is given at https://brainly.com/question/14639462
find the velue of y? y²=169
Answer:
-13 or 13
Step-by-step explanation:
Since we are looking for the square root of 169, we realize that 13 multiplied by itself equals 169. Negative 13 does the same, so it is the answer.
Will the answer to the subtraction problem below be odd or even?
5291 - 4070 = ?
Answer:
1221
Step-by-step explanation:
here you go ...........
Helpppppppppppppppppppppppp
[tex]xy =-21~~.....(i)\\\\x+ y=20~~....(ii)\\\\\text{From equation (i):}\\\\xy = -21 \implies y = -\dfrac{21}x~~.....(iii)\\\\\text{Substitute y in equation (ii):}\\\\x - \dfrac{21}x = 20\\\\\implies x^2 -20x -21= 0\\\\\implies x^2 - 21x + x-21=0\\\\\implies x(x-21) +(x-21) =0\\\\\implies (x+1)(x-21)=0\\\\\implies x = -1 ~~\text{or}~~ x =21\\\\\text{Substitute x in equation (iii):}\\\\y = 21 ~~ \text{or}~~ y = -1\\\\\text{Hence,}~ (x,y)=(21,-1) ~~ \text{or}~~ (x,y) = (-1,21)[/tex]
Based on a poll, 63% of Internet users are more careful about personal information when using a public Wi-Fi hotspot. What is the probability that among four randomly selected Internet users, at least one is more careful about personal information when using a public Wi-Fi hotspot? How is the result affected by the additional information that the survey subjects volunteered to respond? The probability that at least one of them is careful about personal information is
Answer:
So it's a big probability it's a 6 in 4 chance though. 6 is for users that are careful and 4 for users that aren't that careful.
Step-by-step explanation:
The required probability is 0.981 that at least one of them is careful about personal information.
What is the Binomial Theorem?The binomial theorem states the principle for expanding the algebraic expression (x + y)ⁿ and describes it as the total of the phrases involving the unique exponents of the x and y variables. Each word in a binomial expansion has a coefficient, which is a numerical value.
According to a survey, 63% of Internet users are more cautious about their personal information when using a public Wi-Fi hotspot.
Four randomly selected Internet users, at least one is more careful about their personal information.
As per the given question,
Here, n = 4, p = 0.63, (1 - p) = 0.37 and x = 0
As per binomial distribution formula P(X = x) = nCx × p^x × (1 - p)^(n - x)
P(X = 0) = 4C0 × 0.63^0 × 0.37^4
P(X = 0) = 0.0187
P(X ≥ 1) = 1 - 0.0187
Apply the subtraction operation, and we get
P(X ≥ 1) = 0.981
Thus, the required probability is 0.981 that at least one of them is careful about personal information.
Learn more about the binomial theorem here:
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#SPJ2
Identify the domain and range of each relation. Is the relation a function?
x y
5 3
8 6
10 11
Answer:
No
Step-by-step explanation:
Considering domain and range of a function, we first have to create the function based off the given points.
So this would mean first having to find the slope of the equation, which would be using the slop/point formula of [tex]\frac{y_{1} -y_{2} }{x_{1} -x_{2} }[/tex]
Taking the first 2 points, it would make the equation as follows:
[tex]\frac{y_{1} -y_{2} }{x_{1} -x_{2} } = \frac{6-3}{8-5} = \frac{3}{3} = 1[/tex]
To be sure, we take the 2nd pair of points (point 2 and point 3) and make the equation with those as well.
[tex]\frac{y_{1} -y_{2} }{x_{1} -x_{2} } = \frac{11-6}{10-8} = \frac{5}{2} = 2.5[/tex]
Since these 2 slopes do not match, this set of relations cannot be a function, and therefore a domain/range cannot be found.
1. Reducing the original price of an item is often called
discounting
selling
bartering
originating
whats a median because i forgor
Answer:
the one in the middle. if you have a serie of numbers like 2, 5, 9, 7, 12, 23, 46 then 7 is the median because it's in the middle (after putting them in an increasing order of course)
Consider the graph of the of the quadratic function g(x). See below
Answer:
I believe the correct answers would be...
32.) B
33.) C
Step-by-step explanation:
32.)
Since the function is shifted downward 1 unit from the x-axis, "q" would be -1
33.)
If the function is shifted upward 4 units, the "+4" would be on the outside of the parentheses.
A store pays $65 for a robot and marks the price up by 20%. What is the amount of the
mark-up?
The graph shows that the solution to 2 = 0.5^x is X = -1 What is the solution to 2 = 0.5^x - 4
Answer in Complete Sentences
Step-by-step explanation:
2 = 0.5^x - 4 is the same as
6 = 0.5^x
x is the logarithm of 6 to the base of 0.5.
which is the same as
log(6)/log(0.5) = -2.584962501...
18)Angel A and angle b are vertical angles so they are congruent angles. If angle A is (4x+5)° and angle B (-2(x-17.5))° Find the measure of angle B
Answer:
Measure of Angle B = 25°
Step-by-step explanation:
Something to keep in mind: Angle A and B are Vertical Angles so they will always be equal
so;
Angle A = Angle B
(4x + 5) = (-2(x - 17.5))
4x + 5 = -2x + 35 (<= Solved by distributive property)
6x + 5 = 35
6x = 30
x = 5
Now we can find the measure of Angle B, by substituting x by 5 in the B equation;
-2 (x - 17.5) = Angle B
-2 (5 - 17.5) = Angle
-2 (-12.5) = Angel B
25 = Angle B
so measure of angle B = 25
Hope this helps!
PLEASE LOOK AT THE PHOTO !Number 32 please help me and thank you
❤️❤️❤️
Answer: 4 1/4 hours
Explanation: 2.5 + 1.75 = 4.25
4.25 = 4 1/4
(8 points) will mark brainliest!! pls help:)
Answer:
7/10
Step-by-step explanation:
Have a nice day
Answer:
2.1
hope this helped
Two hundred students are going to dine with the principal as their reward for perfect attendance. A random survey of 25 of these students was
conducted to determine how many of each meal should be prepared for dinner. The results are shown below.
• 12 students like pizza
8 students like cheeseburger
. 5 students like taco
Based on the survey results, which of these is the best prediction of the meals liked by the 200 students. (1.6H)
O A There are 16 students who want a cheeseburger.
OB There are 52 students who want either a cheeseburger or a taco.
O C There are 24 more students who want a taco than want a cheeseburger.
OD There are 32 more students who want pizza than want a cheeseburger.
DThere are 32 more students who want pizza than want a cheeseburger.
BRAINLIEST?
Which inequality is true when the value of R is 18? I'ma shower the answers i can choose in the picture
Answer:
See below:
Step-by-step explanation:
Hello! We can check to see if the inequality is true by replacing r with 18 as we have been told to find them in which 18 as r makes the equation true.
So our equations to test for are:
[tex]-r-3>-6\\-r+3<6\\r+3<6\\-r+3>6[/tex]
We can input 18 as r and then we see the following are correct:
1. No, as a -21 is not greater than -6
2. Yes, as -15 is less than 6.
3. No, as 21 is not greater than 6
4. No, as -15 is not greater than 6.
Cheers!
Solve the quadratic by factoring: 3x^2+36x+33=0
Answer:
= − 11
Step-by-step explanation:
Jose is 52 inches tall and is growing 0.25 inches each month. Jacob is 54 inches tall and is growing 0.1 inches each month. How many months, x, will it take for Jose to be the same height as Jacob?
Answer:
who measures someone's height in inches
Step-by-step explanation:
the answer is 14
It will take 13.3 months for Jose to be the same height with Jacob.
x = number of month
The height equation for Jose:Jose is already 52 inches tall and growing at 0.25 inches per month. Therefore, his height is represented as follows
h(x) = 52 + 0.25(x)The height equation for Jacob:
Jacob is already 54 inches tall and growing at 0.1 inches per month. Therefore, his height is represented as follows
h(x) = 54 + 0.1xFor both to have the same height,
52 + 0.25x = 54 + 0.1x
52 - 54 = 0.1x - 0.25x
-2 = -0.15x
x = -2 / -0.15
x = 13.3333333333
x = 13.3 months
learn more linear equation here: https://brainly.com/question/19704985?referrer=searchResults
BRAINLIEST TO CORRECT PLEASE HURRY
Answer:
-32
Step-by-step explanation:
How many gallons of a 90% antifreeze solution must be mixed with 100 gallons of 10% antifreeze to get a mixture that is 80% antifreeze? Use the six-step method.
A sum of money was shared between Joan and Ngozi in the ratio 5:3. If Joan share was 40.00naira how much was the original sum of money
Answer:
64
Step-by-step explanation:
J : N
5 : 3
40 : x
40×3=120
120÷5=24
24+40=64
to confirm if it's correct:
5:3
5+3=8
(5/8)×64=24
(3/8)×64=40
therefore, it's 64
Ryan drove 205 miles in 5 hours. If he drove at a constant rate, how far did he travel in one hour?
Answer: 41 miles
Step-by-step explanation:
Answer:
41 miles
Step-by-step explanation:
41 miles in a hour rate.
Determine a7 when a1 = - 4, r = 2
Answer:Geometric Sequence: an=a1rn−1. Explanation: a6=7×2(6−1)=7×32=224. hope that helped.
Step-by-step explanation:
Alexis baked 87 dozen brownies. How many brownies does she have
Answer:
1,044
Step-by-step explanation:
Answer:
Step-by-step explanation:
1044
what is the additve inverse of 9/10
Answer is -9 litterly just take a postive and make it into a negative
Translate and solve using proportions: What number is 30% of 60
Answer: 18
Step-by-step explanation:
The question is asked to know 30% of 60, we get
60 x 30% = 60 x 0.3 = 18
Answer:
18
Step-by-step explanation:
We know that 30% means 30/100
30/100 multiplied by 60
hence, the answer is 18
A chicken is born weighing 1 ounce. It gains 2 ounces each week.
Write an equation that shows the relationship between the chicken's age in weeks, x, and its
weight in ounces,
y = ?
Answer:
y = 1 + 2x
or
y = 2x + 1
Step-by-step explanation:
I hope this helps!
Let "x" represent the chicken's age.
"Y "demonstrates the ounces.
(b) If the population doubled in size over 30 months and the current population is 20,000, what will the population be 4 years from now?
Answer:
The population will be 160,000 in 3 years.
Step-by-step explanation:
what are the leading coefficient and degree of the polynomial?
Answer:
leading coefficient: 2degree: 7Step-by-step explanation:
The degree of a term with one variable is the exponent of the variable. The degrees of the terms (in the same order) are ...
6, 0, 7, 1
The highest-degree term is 2x^7. Its coefficient is the "leading" coefficient, because it appears first when the polynomial terms are written in decreasing order of their degree:
2x^7 -7x^6 -18x -4
The leading coefficient is 2; the degree is 7.
__
Additional comment
When a term has more than one variable, its degree is the sum of the exponents of the variables. The term xy, for example, is degree 2.
Which expression is equivalent to 8^4 (8 to the 4th power)
Answer:
Step-by-step explanation:
8^4 is the same as 8·8·8·8
The exponent 4 means that 8 will be multiply by itself four time.
Answer:
4096
Step-by-step explanation:
hope this helps=)
pls answer fast
Write an equation of the line that passes through (0, -5) and is perpendicular to the line y =-4/5x
Answer:
I am pretty sure its y={5}/{4}x-5
Step-by-step explanation:
