Does stretching before exercise reduce the chance of injury? To answer this question, a random sample of 800 athletes was selected and split into two groups based on stretching preference. Of the 450 who do not stretch prior to exercise, 231 suffered an injury during the previous year. Of the 350 who stretch prior to exercise, 55 suffered an injury during the previous year. Is there enough evidence to conclude that stretching prior to exercise reduces the chance of injury based on these data? Write your conclusion in complete sentences in terms of the problem.

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Does stretching before exercise reduce the chance of injury? To answer this question, a random sample of 800 athletes
was selected and split into two groups based on stretching preference. Of the 450 who do not stretch prior to exercise,
231 suffered an injury during the previous year. Of the 350 who stretch prior to exercise, 55 suffered an injury during the
previous year. Is there enough evidence to conclude that stretching prior to exercise reduces the chance of injury based
on these data? Write your conclusion in complete sentences in terms of the problem.
Transcribed Image Text:Does stretching before exercise reduce the chance of injury? To answer this question, a random sample of 800 athletes was selected and split into two groups based on stretching preference. Of the 450 who do not stretch prior to exercise, 231 suffered an injury during the previous year. Of the 350 who stretch prior to exercise, 55 suffered an injury during the previous year. Is there enough evidence to conclude that stretching prior to exercise reduces the chance of injury based on these data? Write your conclusion in complete sentences in terms of the problem.
Expert Solution
Step 1

Hypotheses:

Here p1 be the proportion of an individual who stretch prior to exercise and p2 be the proportion of an individuals who do not stretch prior to exercise. The aim is to check whether the stretching before exercise reduce the chance of injury. The null and the alternative hypothesis is,

Statistics homework question answer, step 1, image 1

Step 2

Obtain the sample proportion of first sample:

Statistics homework question answer, step 2, image 1

Step 3

Obtain the sample proportion of second sample:

Statistics homework question answer, step 3, image 1

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