Suppose that the researchers test the hypotheses H0 : b = 0, Ha : b < 0. The value of the t statistic for this test is

(a) 2.61.

(c) 0.081.

(e) −20.24.

(b) 2.44.

(d) −2.44.

The P-value for the test in Question T12.5 is 0.0087. A correct interpretation of this result is that

(a) the probability that there is no linear relationship between 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 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 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 that yields a least-squares regression line with a slope of −4139198 or less is 0.0087.

(d) if there is no linear relationship between 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 that yields a least-squares regression line with a slope of −4139198 or less is 0.0087.

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