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 0.1.

	n	Average	Standard deviation
Skiers (S)	51	2859	400
Golfers (G)	51	3493	807
Difference (d = S - G)	51	-634	618

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