In the year 2000, the state of Indiana began a $40-million renovation of its state fairgrounds, which included the building of a miniature golf course and a state- of-the-art livestock building. Now, Indiana officials are interested in learning what sorts of people are visiting the new attractions. In a survey done at this year's state fair, it was found that, among a random sample of 66 couples at the fair with their children, 34 had visited the new miniature golf course, and among an independently chosen, random sample of 75 couples at the fair on a date (without children), 54 had visited the miniature golf course. Based on these samples, can we conclude, at the 0.1 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 p, 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.)
In the year 2000, the state of Indiana began a $40-million renovation of its state fairgrounds, which included the building of a miniature golf course and a state- of-the-art livestock building. Now, Indiana officials are interested in learning what sorts of people are visiting the new attractions. In a survey done at this year's state fair, it was found that, among a random sample of 66 couples at the fair with their children, 34 had visited the new miniature golf course, and among an independently chosen, random sample of 75 couples at the fair on a date (without children), 54 had visited the miniature golf course. Based on these samples, can we conclude, at the 0.1 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 p, 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.)
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
Related questions
Topic Video
Question
100%
(a) | State the null hypothesis
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(b) | Determine the type of test statistic to use. | |
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(c) | Find the value of the test statistic. (Round to three or more decimal places.) | |
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(d) | Find the p-value. (Round to three or more decimal places.) | |
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(e) | Can we conclude that the proportion of couples visiting the miniature golf course is different between the two groups? | |
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