Question

A recent study suggested that 81% of senior citizens take at least one prescription medication. Amelia is a nurse at a large hospital who would like to know whether the percentage is the same for senior citizen patients who go to her hospital. She randomly selects 59 senior citizens patients who were treated at the hospital and finds that 49 of them take at least one prescription medication. What are the null and alternative hypotheses for this hypothesis test?

Select the correct answer below:

{H0:p=0.81Ha:p>0.81

{H0:p≠0.81Ha:p=0.81

{H0:p=0.81Ha:p<0.81

{H0:p=0.81Ha:p≠0.81

Answer 1

It is given that, Amelia would like to know whether the percentage is the same for senior citizen patients who go to her hospital and the study suggest that 81% of senior citizens take at least one prescription medication.

So, this is the proportion of senor citizen who takes atlest one prescription medication i.e. p=0.81

Here, Null & Alternative hypothesis can be defined as below:

H0: p=0.81

Ha: p≠0.81 (D) is the correct answer.