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