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.In a sample of 120 workers, some said their biggest concern was that their skills would become obsolete, some said their biggest concern was that their job would be lost to foreign competition, some said their biggest concern was that they would be replaced by younger workers, and the rest said their biggest concern was workplace stress.You plan to conduct a chi-square goodness-of-fit test to test whether these sample results are consistent with the Economic Review report.The significance level will be set at 1%. If the chi-square statistic for the test turns out to be 13.819, what should you conclude?

Question

Quizplus · Accepted Answer

Given the chi-square statistic of 13.819 and a significance level of 1%, we compare the chi-square statistic to the critical value from the chi-square distribution table for 3 degrees of freedom (since there are 4 categories - 1 = 3). The critical value at 1% significance level for 3 degrees of freedom is approximately 11.345. Since 13.819 is greater than 11.345, we reject the null hypothesis, concluding that the sample results do not fit the Economic Review's report.

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