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 79 couples at the fair with their children, 44 had visited the new miniature golf course, and among an independently chosen, random sample of 70 couples at the fair on a date (without children), 23 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 Ho and the alternative hypothesis H₁. HO H₁:0 (b) Determine the type of test statistic to use. (Choose one) (c) Find the value of the test statistic. (Round to three more decimal places.) (d) Find the p-value. (Round to three or more decimal places.) 0 (e) Can we conclude that the proportion of couples visiting the miniature golf course is different between the two populations? O Yes No μ |x X 0⁰ 00 O X S 0=0 OSO 00 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 79 couples at the fair with their children, 44 had visited the new miniature golf course, and among an independently chosen, random sample of 70 couples at the fair on a date (without children), 23 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 Ho and the alternative hypothesis H₁. HO H₁:0 (b) Determine the type of test statistic to use. (Choose one) (c) Find the value of the test statistic. (Round to three more decimal places.) (d) Find the p-value. (Round to three or more decimal places.) 0 (e) Can we conclude that the proportion of couples visiting the miniature golf course is different between the two populations? O Yes No μ |x X 0⁰ 00 O X S 0=0 OSO 00 OO
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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 79 couples at the fair with their children, 44 had visited the new miniature golf course, and
among an independently chosen, random sample of 70 couples at the fair on a date (without children), 23 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 Ho and the alternative hypothesis H₁.
Ho
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.)
0
(d) Find the p-value. (Round to three or more decimal places.)
0
(e) Can we conclude that the proportion of couples visiting the miniature golf
course is different between the two populations?
O Yes O No
μ
X
☐☐
O
X
S
2
00
0=0 OSO 020
□<口
Р
S
<Q
>O
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