QUESTION 61 POINT

A physical therapy student is interested in studying how physical therapy can result in a quicker heal time for patients with bone fractures. They would like to investigate whether a higher proportion of physical therapy patients with a bone fracture note quicker heal time than the proportion of adults with a bone fracture who do not receive physical therapy. To study this further, the physical therapy student samples242 physical therapy adult patients with a bone fracture and288 adults with a bone fracture who do not receive physical therapy. The data from the study are presented in the table below.

Letp1be the proportion of physical therapy adult patients who note quicker heal time from a bone fracture andp2be the proportion of adults with a bone fracture who do not receive physical therapy.

Physical therapy No physical therap

Number of who have quicker heal time

38 35

Sample Size 242 288

Assume the conditions for the hypothesis test are satisfied. Is there sufficient evidence at=0.10to show that a higherproportion of physical therapy patients with a bone fracture note quicker heal time than the proportion of adults with a bone fracture who do not receive physical therapy?

Based on thep-value of0.119, draw a conclusion and interpret the results.

Select the correct answer below:

a)Reject the null hypothesis. There is not enough evidence to show that a higherproportion of physical therapy patients with a bone fracture note quicker heal time than the proportion of adults with a bone fracture who do not receive physical therapy.

b)Reject the null hypothesis. There is enough evidence to show that a higherproportion of physical therapy patients with a bone fracture note quicker heal time than the proportion of adults with a bone fracture who do not receive physical therapy.

c)Fail to reject the null hypothesis. There is not enough evidence to show that a higherproportion of physical therapy patients with a bone fracture note quicker heal time than the proportion of adults with a bone fracture who do not receive physical therapy.

d)Fail to reject the null hypothesis. There is enough evidence to show that a higherproportion of physical therapy patients with a bone fracture note quicker heal time than the proportion of adults with a bone fracture who do not receive physical therapy.