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A miniature golf course was recently added at the fairgrounds in a U.S. state. To see what sorts of people are visiting this new attraction, a survey was done at this year's state fair. It was found that, among a random sample of 75 couples at the fair with their children, 33 had visited the new miniature golf course, and among an independently chosen, random sample of 68 couples at the fair on a date (without children), 24 had visited the miniature golf course. Based on these samples, can we conclude, at the 0.01 level of significance, that the proportion p, of all couples attending the fair with their children who visited the miniature golf course is different from the proportion P2 of all couples attending the fair on a date who visited the miniature golf course? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the parts below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H₁. H₂ : O H₁ :0 (b) Determine the type of test statistic to use. (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the p-value. (Round to three or more decimal places.) Español (e) Can we conclude that the proportion of couples visiting the miniature golf course is different between the two populations? OYes No μ Ix 0=0 ☐#0 X O S 2 OSO OO

A miniature golf course was recently added at the fairgrounds in a U.S. state. To see what sorts of people are visiting this new attraction, a survey was done at this year's state fair. It was found that, among a random sample of 75 couples at the fair with their children, 33 had visited the new miniature golf course, and among an independently chosen, random sample of 68 couples at the fair on a date (without children), 24 had visited the miniature golf course. Based on these samples, can we conclude, at the 0.01 level of significance, that the proportion p, of all couples attending the fair with their children who visited the miniature golf course is different from the proportion P2 of all couples attending the fair on a date who visited the miniature golf course? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the parts below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H₁. H₂ : O H₁ :0 (b) Determine the type of test statistic to use. (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the p-value. (Round to three or more decimal places.) Español (e) Can we conclude that the proportion of couples visiting the miniature golf course is different between the two populations? OYes No μ Ix 0=0 ☐#0 X O S 2 OSO OO

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A miniature golf course was recently added at the fairgrounds in a U.S. state. To see what sorts of people are visiting this new attraction, a survey was done at this year's state fair. It was found that, among a random sample of 75 couples at the fair with their children, 33 had visited the new miniature golf course, and among an independently chosen, random sample of 68 couples at the fair on a date (without children), 24 had visited the miniature golf course. Based on these samples, can we conclude, at the 0.01 level of significance, that the proportion p, of all couples attending the fair with their children who visited the miniature golf course is different from the proportion P2 of all couples attending the fair on a date who visited the miniature golf course? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the parts below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H and the alternative hypothesis H₁. H₂O H₁ : 0 (b) Determine the type of test statistic to use. (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) Español (d) Find the p-value. (Round to three or more decimal places.) (e) Can we conclude that the proportion of couples visiting the miniature golf course is different between the two populations? OYes O No 3 X 5 a S X 00 0=0 OSO ☐#0 O<O Р olo ☐20 c^ O>O
Transcribed Image Text:A miniature golf course was recently added at the fairgrounds in a U.S. state. To see what sorts of people are visiting this new attraction, a survey was done at this year's state fair. It was found that, among a random sample of 75 couples at the fair with their children, 33 had visited the new miniature golf course, and among an independently chosen, random sample of 68 couples at the fair on a date (without children), 24 had visited the miniature golf course. Based on these samples, can we conclude, at the 0.01 level of significance, that the proportion p, of all couples attending the fair with their children who visited the miniature golf course is different from the proportion P2 of all couples attending the fair on a date who visited the miniature golf course? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the parts below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H and the alternative hypothesis H₁. H₂O H₁ : 0 (b) Determine the type of test statistic to use. (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) Español (d) Find the p-value. (Round to three or more decimal places.) (e) Can we conclude that the proportion of couples visiting the miniature golf course is different between the two populations? OYes O No 3 X 5 a S X 00 0=0 OSO ☐#0 O<O Р olo ☐20 c^ O>O
A miniature golf course was recently added at the fairgrounds state. To see what sorts of people are visiting this new attrac survey was done at this year's state fair. It was found that, a random sample of 75 couples at the fair with their children, 33 the new miniature golf course, and among an independently random sample of 68 couples at the fair on a date (without ch had visited the miniature golf course. Based on these samples, can we conclude, at the 0.01 level of significance, that the proportion p, of all couples attending the their children who visited the miniature golf course is differen proportion P2 of all couples attending the fair on a date who v miniature golf course? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decim and round your answers as specified in the parts below. (If n consult a list of formulas.) (a) State the null hypothesis H and the alternative hypothesis H₁. H₂ : O H₁ :0 (b) Determine the type of test statistic to use. (Choose one) ▼ (c) F Z t Chi-Square e test statistic. (Round to three or more decimal places.) F (d) Find the p-value. (Round to three or more decimal places.) (e) Can we conclude that the proportion of couples visiting the miniature golf course is different between the two populations? OYes O No H |x 9. O S X H 0=0 Os 0#0 O<
Transcribed Image Text:A miniature golf course was recently added at the fairgrounds state. To see what sorts of people are visiting this new attrac survey was done at this year's state fair. It was found that, a random sample of 75 couples at the fair with their children, 33 the new miniature golf course, and among an independently random sample of 68 couples at the fair on a date (without ch had visited the miniature golf course. Based on these samples, can we conclude, at the 0.01 level of significance, that the proportion p, of all couples attending the their children who visited the miniature golf course is differen proportion P2 of all couples attending the fair on a date who v miniature golf course? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decim and round your answers as specified in the parts below. (If n consult a list of formulas.) (a) State the null hypothesis H and the alternative hypothesis H₁. H₂ : O H₁ :0 (b) Determine the type of test statistic to use. (Choose one) ▼ (c) F Z t Chi-Square e test statistic. (Round to three or more decimal places.) F (d) Find the p-value. (Round to three or more decimal places.) (e) Can we conclude that the proportion of couples visiting the miniature golf course is different between the two populations? OYes O No H |x 9. O S X H 0=0 Os 0#0 O<
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