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 at least $88 \%$ 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 a statement of equality, it represents the hypothesis.
(a) How should you interpret a decision that rejects the null hypothesis?
There is evidence to the claim that at least $88 \%$ of people had at least one health care 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 at least $88 \%$ of people had at least one health care visit in the past year.
Answer
If the null hypothesis is not rejected, it means that there is not enough statistical evidence to support the claim that at least 88% of people had at least one health care visit in the past year.
Step 1 ：The claim represents the alternative hypothesis.
Step 2 ：If the null hypothesis is rejected, it means that there is statistical evidence to support the claim that at least 88% of people had at least one health care visit in the past year.
Step 3 ：If the null hypothesis is not rejected, it means that there is not enough statistical evidence to support the claim that at least 88% of people had at least one health care visit in the past year.
