iQ12 Select one A The 95 confidence interval is 325 561 and

iQ12

Select one:

A) The 95% confidence interval is (32.5, 56.1) and the 99% confidence interval is (28.8, 59.8).

B) The 95% confidence interval is (48.4, 72.0) and the 99% confidence interval is (44.7, 75.7).

C) The 95% confidence interval is (54.7, 78.3) and the 99% confidence interval is (51.0, 82.0).

D) The 95% confidence interval is (21.7, 45.3) and the 99% confidence interval is (18.0, 49.0).

E) The 95% confidence interval is (17.5, 41.1) and the 99% confidence interval is (13.8, 44.8).

A one-sample z-test was used to test the following hypotheses: H0 : mu = 47 and H1: mu 47. Select the pair of 95% and 99% confidence intervals (which were based on the z-test) that are consistent with the following conclusion: \'There is moderate, but not strong, evidence against the null hypothesis. In fact the population mean appears to be greater than 47.\'

Solution

Given: the test is significant and population mean greater than 47

So the Both 95% and 99% confidence intervals should have lower limit > 47

The correct option is C

Select one:

A) The 95% confidence interval is (32.5, 56.1) and the 99% confidence interval is (28.8, 59.8).

B) The 95% confidence interval is (48.4, 72.0) and the 99% confidence interval is (44.7, 75.7).

C) The 95% confidence interval is (54.7, 78.3) and the 99% confidence interval is (51.0, 82.0).

D) The 95% confidence interval is (21.7, 45.3) and the 99% confidence interval is (18.0, 49.0).

E) The 95% confidence interval is (17.5, 41.1) and the 99% confidence interval is (13.8, 44.8).