The HR manager at Hernandez Inc.reports that 40% of the company's job applicants have a bachelor's degree, 34% have an associate's degree and the remaining 26% have a high school diploma.You take a simple random sample of 200 applicants and count the number in the sample with bachelor's degrees, associate's degrees, and high school diplomas..You then conduct a chi-square test to establish whether this sample result is sufficient to reject a null hypothesis that the composition of Hernandez' job applicant population matches the HR manager's claim.The significance level is 1%. If the chi-square statistic for the sample result turns out to be 6.434, what should you conclude?
A)Don't reject the HR manager's claim.
B)The HR manager's claim can't be true.
C)The sample provides strong evidence that the HR manager's claim is true.
D)The sample provides strong evidence that the HR manager's claim is not true.

Question

Quizplus · Accepted Answer

With a significance level of 1%, the critical value for a chi-square test with two degrees of freedom (since there are three categories - bachelor's, associate's, and high school diploma - minus one) is approximately 9.21. Since the calculated chi-square statistic of 6.434 is less than the critical value, there is not enough evidence to reject the null hypothesis that the sample distribution matches the HR manager's claim.

The HR Manager at Hernandez Inc