Our Galaxy is one member of a small cluster of galaxies. an isolated galaxy, not a member of any cluster. one member of a large, irregular cluster of thousands of galaxies. one member of a large, regular cluster of thousands of galaxies.
one member of a small cluster of galaxies.

Based on the analysis, the null hypothesis that the proportion of people who replied "yes" is 0.5 is rejected. The sample proportion was approximately 0.462, resulting in a P-value of 0.0008. A 95% confidence interval for the proportion is (0.4365, 0.4875). Therefore, there is evidence to suggest that the true proportion differs from 0.5.

State the null and alternative hypotheses

Null hypothesis (H₀): The proportion of people who replied "yes" to the statement is equal to 0.5 (π = 0.5).

Alternative hypothesis (H₁): The proportion of people who replied "yes" to the statement is not equal to 0.5 (π ≠ 0.5).

Calculate the sample proportion (hat p) and the sample size (n)

Given in the problem, the sample proportion (hat p) is 842/1824 ≈ 0.462 and the sample size (n) is 1824.

Using the formula for the score test statistic:

z = (hat p - π₀) / √((π₀(1 - π₀)) / n)

= (0.462 - 0.5) / √((0.5(1 - 0.5)) / 1824)

≈ -3.5404

Since this is a two-sided test, we need to find the probability that a standard normal random variable is greater than 3.5404 (P(Z > 3.5404)). The P-value is twice this probability.

P-value = 2 × P(Z > 3.5404)

≈ 2 × 0.0004

= 0.0008

Therefore, the P-value is 0.0008.

At the 0.05 significance level, we reject the null hypothesis if the P-value is less than the significance level. In this case, since the P-value (0.0008) is less than 0.05, we reject the null hypothesis. There is sufficient evidence to suggest that the proportion of people who replied "yes" is not equal to 0.5.

Using the formula for the confidence interval:

CI = hat p ± z_(α/2) * √((hat p(1 - hat p)) / n)

For a 95% confidence interval, the critical value z_(α/2) can be found such that P(Z > z_(α/2)) = α/2. Since α = 0.05, we have α/2 = 0.025. Looking up the z-table or using a calculator, the critical value is approximately 1.96.

Substituting the values into the formula:

CI = 0.462 ± 1.96 * √((0.462 * 0.538) / 1824)

= (0.462 ± 1.96 * 0.013)

Calculating the lower and upper bounds of the confidence interval:

CI = (0.462 - 0.0255, 0.462 + 0.0255)

= (0.4365, 0.4875)

Therefore, we can be 95% confident that the population proportion who replied "yes" is between 0.4365 and 0.4875.

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The Writer class is an abstract class in Java that serves as the foundation for character stream output classes. Any class that extends the Writer class must implement all of its abstract methods.

The following are four commonly used methods of the Writer class:

1. write(char[] cbuf, int off, int len) - This method is used to write len characters of the char array cbuf, beginning at offset off.

2. write(int c) - This method is used to write the specified character c to the output stream.

3. flush() - This method is used to flush the stream. This is done to ensure that any buffered data is written out to the underlying output device.

4. close() - This method is used to close the stream. This is done to ensure that any resources being used by the stream are released.

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Yeti's competitive advantage is sustainable. This is evident from the brand's strong brand image, customer loyalty, and market share. Yeti has a unique set of key resources and capabilities that contribute to its competitive advantage and make it difficult for competitors to imitate.

Some of the key resources and capabilities that Yeti possesses are discussed below: Key Resources/ Capabilities from Company Perspective:1. Strong Brand Image - Yeti has a strong brand image in the outdoor products market due to its high-quality products. The brand has successfully positioned itself as a premium and reliable brand, which has helped it develop customer loyalty and drive sales.2.

Product Quality - Yeti has invested heavily in research and development to ensure that its products are of the highest quality. This has helped the brand to develop a loyal customer base, who are willing to pay a premium price for its products.3. Distribution Network - Yeti has a strong distribution network, which includes both online and offline channels. This has helped the brand to reach a wider customer base and expand its market share.4. Patent Portfolio - Yeti has a strong patent portfolio that protects its products from being imitated by competitors. This has helped the brand to maintain its competitive advantage and prevent competitors from entering the market with similar products.

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Option B is correct. The individual that keeps close contact with all members of his or her party, persuades party members to vote along the party line, and counts votes for key legislation is the majority/minority whip.

In politics, a whip is an official in a political party whose primary responsibility is to ensure party discipline in a legislature. Whips are a party's "enforcers," who usually help the party leader to keep the legislators in line and to make sure that the members vote in line with the party's policy.

They assist the party leader in ensuring that party members attend and vote as required, as well as acting as the party's main channel of communication with backbenchers. More about Whip: Whip in politics is an official in a political party whose main responsibility is to ensure party discipline in a legislature. They are tasked with keeping legislators in line and making sure they vote in line with the party's policy.

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