Economic Review reported that for 50% of American workers, the biggest job-related concern is that their skills will become obsolete; for 30%, the biggest concern is that their job would be lost to foreign competition; for 15%, the biggest concern is that younger workers will take their place, and for 5%, the biggest concern is stress in the workplace.You take a sample of workers to test the accuracy of the report.In your sample of 120 workers, 46 said their biggest concern was that their skills would become obsolete, 32 said their biggest concern was that their job would be lost to foreign competition, 27 said their biggest concern was that they would be replaced by younger workers, and 15 said their biggest concern was workplace stress.You conduct a chi-square goodness-of-fit test to test whether these sample results are consistent with the Economic Review report. If the significance level for the test is set at 1%, report the critical chi-square value..
A)11.345
B)9.210
C)7.815
D)5.991

Question

Quizplus · Accepted Answer

The chi-square goodness-of-fit test involves comparing observed frequencies (from the sample) to expected frequencies (from the hypothesis or reported values). Here, we have four categories of concern, so the degrees of freedom (df) for the chi-square distribution are calculated as the number of categories minus one, which is 4 - 1 = 3. At a 1% significance level (or 0.01), the critical value for df = 3 is 11.345. This value is used to determine whether the observed frequencies significantly differ from the expected frequencies.

Economic Review Reported That for 50% of American Workers, the Biggest