Question

Determine whether the claim stated below represents the null hypothesis or the alternative hypothesis. If a hypothesis test is performed, how should you interpret a decision that (a) rejects the null hypothesis or (b) fails to reject the null hypothesis? A researcher claims that more than 82% of people had at least one health care visit in the past year. Does the claim represent the null hypothesis or the alternative hypothesis? Since the claim v a statement of equality, it represents the hypothesis. (a) How should you interpret a decision that rejects the null hypothesis? evidence to the claim that more than 82% of people had at least one health care There is visit in the past year. (b) How should you interpret a decision that fails to reject the null hypothesis? There is evidence to the claim that more than 82% of people had at least one health care visit in the past year.

Answer 1

Since the claim is not a statement of equality, it represents the alternative hypothesis.

(a) There is enough evidence to accept the claim that more than 82% of people had at least one health care visit in the past year.

(b) There is not enough evidence to accept the claim that more than 82% of people had at least one health care visit in the past year.

For a two-tailed test, $\alpha$ = 0.05

The critical values are z = -1.96,1.96

[Values are obtained from a Standard Normal CDF table]

B. The rejection regions are z < -1.96 and z > 1.96

The correct graph below is

B. The shaded region in cyan is the rejection region