Homework Sourse24 In a survey of 145 senior executives 497 said that the mo
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In a survey of 145 senior executives, 49.7% 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.
HO: p is > or, < or, = to or, not= to 0.45?_______
H1: p is > or, < or, = to or, not= to 0.45?_______
b. What is the test statistic? z= _______
(Round the final answer to two decimal places as needed.)
c. What is the P-value? P-value= ________
(Round to four decimal places as needed.)
d. What is the conclusion?
A. There is sufficient evidence to support the claim.
B. There is not sufficient evidence to support the claim
e. Is the conclusion valid today? Why or why not?
A.Yes, the conclusion is valid
B.No, the conclusion is not valid
C. You can make no decisions about the validity of the conclusion
Solution
HO: p is = to 0.45
H1: p is not= to 0.45
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(b) the test statistic is
Z=(phat-p)/sqrt(p*(1-p)/n)
=(0.497-0.45)/sqrt(0.45*(1-0.45)/145)
=1.14
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(c) It is a two-tailed test.
So the p-value= 2*P(Z>1.14) =0.2543 (from standard normal table)
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(d)B. There is not sufficient evidence to support the claim
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(e)A.Yes, the conclusion is valid
