Question

A community’s Recreation Department is trying to convince City Council to fund more physical fitness programs. They show a report to the council that claims that less than 35% of the community’s residents can pass a physical fitness test. City Council is facing budgetary constraints and is unsure whether or not the reports results are trustworthy (they think their residents are in better shape that that!). However, they agree to fund more physical fitness programs if the Recreation Department can present convincing evidence in support of the report’s findings.

The Recreation Department recruited a simple random sample of 80 community residents and had them all try the physical fitness test - 25 of them passed. What is the P-value of the appropriate hypothesis test?

• A. 0.2420

• B. 0.2358

• C. 0.7032

• D. 0.7580

• E. 0.4840

Answer 1

Let p denotes the true proportion of community’s residents who can pass a physical fitness test.

ans-> A) 0.2420