In a survey of 150 senior executives 493 said that the most

In a survey of 150 senior executives, 49.3% said that the most common job interview mistake is to have little or no knowledge of the company. Test the claim that in the population of all senior executives, 45% 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.

The test statistic is?

z= ____

(Round to two decimal places as needed.)

The P-value is_____ (Round to four decimal places as needed.)

Identify the conclusion about the null hypothesis and the final conclusion that addresses the original claim. (Assume a 0.01 significance level.)

Reject // or Fail to reject //H0?______

There is or//is not// sufficient evidence to warrant rejection of the claim that among senior executives, 45% say that the most common job interview mistake is to have little or no knowledge of the company? _______

Solution

Null hypothesis: p=0.45

Alternative hypothesis: p not equal to 0.45

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Z test= (phat-p)/sqrt(p*(1-p)/n)

=(0.493-0.45)/sqrt(0.45*(1-0.45)/150)

=1.06

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It is a two-tailed test.

So the p-value= 2*P(Z>1.06) =0.2891 (from standard normal table)

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Fail to reject H0

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There is not sufficient evidence to warrant rejection of the claim that among senior executives, 45% say that the most common job interview mistake is to have little or no knowledge of the company