The following two-way table resulted from classifying each individual in a random sample of residents of a small city according to level of education (with categories "earned at least a high school diploma" and "did not earn a high school diploma") and employment status (with categories "employed full time" and "not employed full time"). Employed full time Not employed full time Earned at least a high school diploma 52 40 Did not earn a high school diploma 30 35 Report the expected counts, the null and alternative hypotheses, the test statistic, and p- value. Does the test provide evidence at the .05 level that employment status differs between the levels of education? Problem 1 (Test Statistic) A. χ2 = 1.976 B. χ2 = 1.849 C. χ2 = 0.769 D. χ2 = 1.641 E. χ2 = 0.683 Problem 2 (p-value; conclusion) A. p = 0.2002; RHo (Observed Values do not match Expectation) B. p = 0.1958; FRHo (Observed Values match Expectation) C. p = 0.2002; FRHo (Observed Values match Expectation) D. p = 0.1958; RHo (Observed Values do not match Expectation) E. p = 0.3723; RHo (Observed Values do not match Expectation)
The following two-way table resulted from classifying each individual in a random sample of residents of a small city according to level of education (with categories "earned at least a high school diploma" and "did not earn a high school diploma") and employment status (with categories "employed full time" and "not employed full time").
| Employed full time | Not employed full time | |
| Earned at least a high school diploma | 52 | 40 |
| Did not earn a high school diploma | 30 | 35 |
Report the expected counts, the null and alternative hypotheses, the test statistic, and p- value. Does the test provide evidence at the .05 level that employment status differs between the levels of education?
Problem 1 (Test Statistic)
A. χ2 = 1.976
B. χ2 = 1.849
C. χ2 = 0.769
D. χ2 = 1.641
E. χ2 = 0.683
Problem 2 (p-value; conclusion)
A. p = 0.2002; RHo (Observed Values do not match Expectation)
B. p = 0.1958; FRHo (Observed Values match Expectation)
C. p = 0.2002; FRHo (Observed Values match Expectation)
D. p = 0.1958; RHo (Observed Values do not match Expectation)
E. p = 0.3723; RHo (Observed Values do not match Expectation)
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