Do skiers spend less than golfers on their vacations? To help answer this question, a travel agency surveyed 51 customers who regularly take their partners on a skiing vacation and 51 customers who regularly take their partners on a golf vacation. The amounts spent on vacations last year are shown in the following table. Perform an appropriate hypothesis test and use a significance level of 0.05.

	n	Average	Standard deviation
Skiers (S)	51	2775	386
Golfers (G)	51	3345	794
Difference (d = S - G)	51	-570	656

(a) What are the null and alternative hypotheses? H₀: ppS - pGS - Gd = 0 H_A: ppS - pGS - Gd < 0 (b) What is the test statistic? (Round your answer to 3 decimal places, if needed.) (c) Using the statistical table, the p-value is 0.005 < p-value < 0.01, 0.01 < p-value < 0.025, 0.025 < p-value < 0.05, 0.05 < p-value < 0.10, p-value > 0.10, 0 < p-value < 0.005 . (d) Based on the p-value, the travel agency should reject fail to reject the null hypothesis. (e) This data (provides/does not provide) sufficient evidence to conclude that the skiers spend, on average, (less than/more than) the same amount as golfers on their vacations.