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..il Verizon 1:11 AM * 97% a webwork.pcc.edu (1985-198... Ep9-The...Ep8- The Members. The King's..My Course... Classlist WeBWo... Logged in as aaron hodges Log Out webwork/ mth243-rupp-201801/significance testing/2 MAIN MENU Courses homewotkSignificance Testing: Problem 2 Sets Previous Problem Problem List Next Problem Prob (1 point) A survey of 1480 people who took vacations revealed that 145 of them included a visit to a theme park. Based on those survey results, a management consultant claims that less than 1 1% of vacations include a theme park visit. Test this claim using the = 0.01 significance level. User Settings Grades Achievements Assuming Ho, the 2-score of the sample is The critical z-score for declaring significant evidence is Problem 1 The P-value of the hypothesis test is Problem 2 The conclusion is Problem 3 OA. There is not sufficient evidence to support the claim that less than 1 1% of Problem 4 vacations include a theme park visit. B. There is sufficient evidence to support the claim that less than 1 1% of vacations include a theme park visit. Problem 5 Problem 6 Problem 7 Note: You can earn partial credit on this problem. Problem 8 Preview My Answers Submit Answers Problem 9 You have attempted this problem 1 time. Your overall recorded score is 25%. You have unlimited attempts remaining. Show Past AnswersExplanation / Answer
Solution:
Let p be the population proportion of trips that include the theme park visit.
Null hypothesis H0 : p = 0.11
Alternative hypothesis H1 : p < 0.11 (Claim)
Level of significance: = 0.01 (Left-tailed)
Critical value and critical region: Use z-table, we have
z0.95 = -z0.01 = 2.576, the critical region is (-, -2.576).
Sample statistic: From the sample, we have
n = 1480, x = 145, x/n = 145/1480
= 0.0979
and the z-score is
z = 0.0979 - 0.11/sqrt(0.11(1-0.11)/1480)
= -1.4877
P-value of the hypothesis test is = 0.0684
Conclusion: There is not sufficient evidence to support the claim that less than 11% of vacations include a theme park visit.
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