Question

In a survey of 155 senior​ executives, 45.8​% said that the most common job interview mistake is to have little or no knowledge of the company. Use a 0.01

significance level to 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.

b. What is the test​ statistic?

Z=

​(Round to two decimal places as​ needed.)

c. What is the​ P-value?

​P-value=

​(Round to three decimal places as​ needed.)

d. What is the​ conclusion?

There is sufficient evidence to support the claim that more than​ 15% of households use​ e-mail.

There is not sufficient evidence to support the claim that more than​ 15% of households use​ e-mail.

e. Is the conclusion valid​ today? Why or why​ not?

a.Yes, the conclusion is valid today because the requirements to perform the test are satisfied.

​b.No, the conclusion is not valid today because the population characteristics of the use of​ e-mail are changing rapidly.

c.You can make no decisions about the validity of the conclusion today.

Answer 1

d. Since P-value>0.01 so we fail to reject null hypothesis and

there is sufficient evidence to support 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.

e. Yes, the conclusion is valid today because the requirements to perform the test are satisfied.

(np=155*0.45=69.75>10, n(1-p)=155*(1-0.45)=85.25>10)