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, 48 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), 38 had visited the miniature golf course. Based on these samples, can we conclude, at the 0.10 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. 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? Yes No I X O=O ロメロ X a S S Do P ê S olo OSO 020 O
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, 48 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), 38 had visited the miniature golf course. Based on these samples, can we conclude, at the 0.10 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. 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? Yes No I X O=O ロメロ X a S S Do P ê S olo OSO 020 O
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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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, 48 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), 38 had visited the miniature golf
course.
Based on these samples, can we conclude, at the 0.10 level of significance, that the proportion p₁ 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 H
H: 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.)
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?
Yes No
н
x|
X
O
S
X
00
P
P
0=0 030 020
S
00
0#0 0<0 0>O
C
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