Question

fill in the blank.
a golfer claims that his average golf score at the course he plays regularly is less than 90. the correct hypothesis statement for this golfer to prove his claim would be
oa. ( h_{0}: mu = 90; h_{1}: mu
eq 90 )
ob. ( h_{0}: mu
eq 90, h_{1}: mu = 90 )
oc. ( h_{0}: mu leq 90; h_{1}: mu geq 90 )
od. ( h_{0}: mu geq 90; h_{1}: mu < 90 )

Explanation:

In hypothesis testing, the null hypothesis \(H_0\) is a statement of no effect or status - quo, and the alternative hypothesis \(H_1\) is the claim we want to test. The golfer claims that the average score \(\mu\) is less than 90. So the null hypothesis should be the opposite of the claim (a statement that can be tested for rejection), and the alternative hypothesis is the claim. If we assume the "status - quo" is \(\mu\geq90\) (null hypothesis), then the alternative hypothesis \(H_1:\mu < 90\) (the golfer's claim).

Answer:

D. \(H_0:\mu\geq90;H_1:\mu < 90\)