Question

A survey of 61,646 people included several questions about office relationships. Of the respondents, 27.5% reported that bosses scream at employees. Use a 0.05 significance level to test the claim that more than 1/4 of people say that bosses scream at employees. How is the conclusion affected after learning that the survey is an online survey in which Internet users chose whether to respond? Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method. Use the normal distribution as an approximation of the binomial distribution.

a. Identify the null and alternative hypotheses.

b. The test statistic is z = ___

c. The P-value is ___

d. Identify the conclusion about the null hypothesis and the final conclusion that addresses the original claim.

___ H0. There ___ sufficient evidence to support the claim that more than 1/4 of people say that bosses scream at employees. If the sample is a voluntary response sample, the conclusion ___ valid

Answer #1

a)We have to test the hypotheses

b)The estimated proportion is . The sample size is

The test statistic is

**I seriously doubt whether survey size of 61,646
people is correct ? It is too large**

c)The P-value of the test is

d)Since the P-value is , we reject the null hypothesis H0.

There _is__ sufficient evidence to support the claim that more than 1/4 of people say that bosses scream at employees. If the sample is a voluntary response sample, the conclusion _is_ valid

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