In a survey of 145 senior executives, 51% said that the most common job intervie

Question

In a survey of 145 senior executives, 51% said that the most common job interview mistake is to have little or no knowledge of the company. Use a 0.05 significance level to test the claim that in the population of all senior executives, 40% say that the most common job interview mistake is to have little or no knowledge of the company. 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. Identify the null and alternative hypotheses. Choose the correct answer below. A. H_0: p = 0.6 H_1: p > 0.6 B. H_0: p = 0.4 H1: p > 0.4 C. H_0: p = 0.4 H_1: p Notequalto 0.4 D. H_0: p = 0.6 H_1: p

Explanation / Answer

Solution:

B. H0: p = 0.4
H1: p 0.4

p-hat = 0.51
Using the normal approximation.
The Test statistic z =(0.51-0.4)/sqrt(0.4*(1-0.4)/145)
= 2.70

It is a two-tailed test.

So the p-value= 2*P(Z>2.70) =0.007 (from standard normal table)

0.4 H0.There is not sufficient evidence to warrent rejection of the claim that among senior executives, 40% say that the ,ost common job interview mistake it to have little or no knowledge of the company

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