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A survey of 61, 649 people included several questions about office relationships

ID: 3229778 • Letter: A

Question

A survey of 61, 649 people included several questions about office relationships. Of the respondents, 26 3% reported that bosses scream 8t employees. Use a 0.01 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 sun an online survey in which Internet users chose whether to respond? Identify the null hypothesis, alternative hypothesis, test statistic. P-value. conclusion about 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. H-1:p NotEqual 0.75 H_1 p 0.25 H_0: p+ 0.75 H_0:p=0.75 H_1: p > 0.75 H_1: p

Explanation / Answer

Solution:

D) The test hypothesis is
Ho: p=0.25
Ha: p>0.25

The test statistic is
Z=(phat-p)/[p*(1-p)/n]

=(0.263-0.25)/sqrt(0.25*0.75/61649)

= 7.45

P-value = 0.0001
0.25 Ho. There 0.0001 sufficient evidence to support the claim that more than 1/4 of people say that bosses scream at employees.

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