Based on past data, the Student Recreation Center knew that the proportion of st

Question

Based on past data, the Student Recreation Center knew that the proportion of students who prefer exercising outside over exercising in a gym was 0.822. To update their records, the SRC conducted a survey. Out of 84 students surveyed, 73 indicated that they preferred outdoor exercise over exercising in a gym. The 90% confidence interval is ( 0.8085 , 0.9296 ). Which of the following statements is the best conclusion?

Question 9 options:

1) We can not claim that the proportion of students who prefer outdoor exercise differs from 0.822. 2) We can claim that the proportion of students who prefer outdoor exercise is smaller than 0.822. 3) The confidence interval does not provide enough information to form a conclusion. 4) We can claim that the proportion of students who prefer outdoor exercise is larger than 0.822. 5) The proportion of students who have changed their exercise habits from 0.822 is 90%.

Explanation / Answer

Solution:-

1) We can not claim that the proportion of students who prefer outdoor exercise differs from 0.822.

The 90% confidence interval is ( 0.8085 , 0.9296).

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