The following table provides the results of a study in a major hospital concerning patients and their supplemental health coverage.A random sample of 95 surgical patients showed that 36 had supplemental health coverage;in a second random sample of 125 medical patients,56 had coverage. If we wanted to test for the equality of the proportion of patients of the two types that have supplemental health coverage (i.e. ,H₀: against H_a: ),which of the following statements about the appropriate analysis (at the $\alpha$ = 0.05 level)would be FALSE? A)We could use a test with 1 degree of freedom. B)We would reject the null hypothesis here if the observed | Z | 1.96 or if 3.84. C)Both the z test and the test can be extended to test the equality of more than two proportions. D)We could use a two-tailed z test for the equality of two proportions. E)The test and the z test are equivalent because the square of the z statistic is equal to with 1 degree of freedom.

Question

The following table provides the results of a study in a major hospital concerning patients and their supplemental health coverage.A random sample of 95 surgical patients showed that 36 had supplemental health coverage;in a second random sample of 125 medical patients,56 had coverage. If we wanted to test for the equality of the proportion of patients of the two types that have supplemental health coverage (i.e. ,H₀: against H_a: ),which of the following statements about the appropriate analysis (at the $\alpha$ = 0.05 level)would be FALSE? A)We could use a test with 1 degree of freedom. B)We would reject the null hypothesis here if the observed | Z | > 1.96 or if > 3.84. C)Both the z test and the test can be extended to test the equality of more than two proportions. D)We could use a two-tailed z test for the equality of two proportions. E)The test and the z test are equivalent because the square of the z statistic is equal to with 1 degree of freedom.

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The Answer of The following table provides the results of a study in a major hospital concerning patients and their supplemental health coverage.A random sample of 95 surgical patients showed that 36 had supplemental health coverage;in a second random sample of 125 medical patients,56 had coverage. If we wanted to test for the equality of the proportion of patients of the two types that have supplemental health coverage (i.e. ,H₀: against H_a: ),which of the following statements about the appropriate analysis (at the $\alpha$ = 0.05 level)would be FALSE? A)We could use a test with 1 degree of freedom. B)We would reject the null hypothesis here if the observed | Z | > 1.96 or if > 3.84. C)Both the z test and the test can be extended to test the equality of more than two proportions. D)We could use a two-tailed z test for the equality of two proportions. E)The test and the z test are equivalent because the square of the z statistic is equal to with 1 degree of freedom.

The Following Table Provides the Results of a Study in a Major