The P-value for the test in Question 5 is $0.0087$. A correct interpretation of this result is that

(a) the probability that there is no linear relationship between an average number of putts per hole and total winnings for these $69$players is $0.0087$.

(b) the probability that there is no linear relationship between the average number of putts per hole and total winnings for all players on the PGA Tour’s world money list is $0.0087$.

(c) if there is no linear relationship between an average number of putts per hole and total winnings for the players in the sample, the probability of getting a random sample of $69$players yields a least-squares regression line with a slope of $-4139198$or less is $0.0087$.

(d) if there is no linear relationship between an average number of putts per hole and total winnings for the players on the PGA Tour’s world money list, the probability of getting a random sample of 69 players yields a least-squares regression line with a slope of $-4139198$or less is $0.0087$.

(e) the probability of making a Type II error is$0.0087$.

Step by step solution

01

Given information

Given in the question that, the $P$value for the test is $0.0087$.

We have to find the correct interpretation of the result.

02

Explanation

The given data is

$H_0:\beta =0$

$H_a:\beta <0$

The P-value is the probability of obtaining the value of the test statistic, or a value more extreme if the null hypothesis is true.

The statement refers to a population and not to a sample.

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