Question Help A survey of 61 648 people included several questions about office

Question

Question Help A survey of 61 648 people included several questions about office elationships. Ofthe respondents, 27.4% reported that bosses scream at employees. Use a 001 s gnificance eve to test the c aim that more an 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. ldentify the null and alternative hypotheses. Choose the correct answer below. A. Ho:p=0.25 H p> 0.25 C. Ho: p = 0.25 p#025 O E. Ho: p = 0.25 H p 0.75 Ho: p= 0.75 H: p

Explanation / Answer

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

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

=(0.26-0.25)/sqrt(0.25*0.75/61648)

=5.73

P= 0.25

Given a=0.05, the critical value is |Z(0.05)|=1.645 (check standard normal table)

Since Z=5.73 is larger than 1.645, we reject Ho.

might to be

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