Question

Each year the National Opinion Research Center (NORC) conducts a General Social Survey (GSS) on a representative sample of 1,500 individuals. The GSS provides a relevant database of opinions and behaviors for a cross section of the U.S adult population. Among the hundreds of questions analyzed in the 2014 General Social survey, a question that recorded the prestige of jobs was broken out between whites and blacks. Higher scores are associated with jobs with higher prestige. The mean value for the Prestige Score for a sample of 810 whites was 44.63 with a standard deviation of 13.63. The mean value for Prestige Score for a sample of 114 blacks was 39.80 with a standard deviation of 14.45. Conduct a test where the variances are not equal; do not use a pooled estimate of the variance.

At the 5% level of significance, test that blacks have jobs with less prestige than whites.

A. since -3.36t < -1.65 critical value, we can reject the Null Hypothesis that Blacks have jobs with the same or greater amount of prestige compared to whites.

B. since 3.52t > 1.645t, we can not reject the Null Hypothesis that Blacks have the same or greater amount of prestige compared to whites.

C. since 3.36t > 1.645 critical value, we can reject the Null Hypothesis that Blacks have jobs with a lesser amount of prestige compared to whites.

D. since 3.52t > 1.645 critical value, we can not reject the Null Hypothesis that Blacks have jobs with a lesser amount of prestige compared to whites.

Answer 1