Question

An NFL owner has a decision to make about whether to re-sign his star running back, but is worried that the running back's injury rate (i.e., proportion of games missed due to injury) is higher than the overall league rate for games missed due to injury (.0809). A random sample of 53 professional games reveals that the running back's proportion of games missed due to injury is .0943. Test the claim that the running back's proportion of games missed due to injury is higher than the league proportion.

Group of answer choices

One-sample mean

One-sample proportion

cannot do, assumptions violated

Two dependent means

Two independent means

Two-sample proportion

Answer 1

Answer:

Cannot do, assumptions violated

Explanation:

Here, we have to test the following null and alternative hypotheses:

H0: p = 0.0943

Ha: p > 0.0943

np = 53*0.0943 = 4.9979 < 10

For this test np ≥ 10 and nq ≥ 10

So, assumption is violated.