$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 80 couples at the fair with their children, 54 had visited the new miniature golf course, and among an independently chosen, random sample of 65 couples at the fair on a date (without children), 31 had visited the miniature golf course. Based on these samples, can we conclude, at the 0.05 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.) (a) State the null hypothesis H and the alternative hypothesis H,. H, :0 H :0 (b) Determine the type of test statistic to use. (Choose one) ▼ D=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the two critical values at the 0.05 level of significance. (Round to three or more decimal places.) I and (e) Can we conclude that the proportion of couples visiting the miniature golf course is different between the two groups? O Yes ONo
$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 80 couples at the fair with their children, 54 had visited the new miniature golf course, and among an independently chosen, random sample of 65 couples at the fair on a date (without children), 31 had visited the miniature golf course. Based on these samples, can we conclude, at the 0.05 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.) (a) State the null hypothesis H and the alternative hypothesis H,. H, :0 H :0 (b) Determine the type of test statistic to use. (Choose one) ▼ D=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the two critical values at the 0.05 level of significance. (Round to three or more decimal places.) I and (e) Can we conclude that the proportion of couples visiting the miniature golf course is different between the two groups? O Yes ONo
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: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 80 couples at the fair with their children, 54 had visited the new miniature golf course, and among an
independently chosen, random sample of 65 couples at the fair on a date (without children), 31 had visited the miniature golf course. Based on these samples,
can we conclude, at the 0.05 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.)
(a) State the null hypothesis H, and the alternative hypothesis H,.
Ho
H :0
1
(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.)
O<0 O>O
(d) Find the two critical values at the 0.05 level of significance. (Round to three or more decimal places.)
O and O
(e) Can we conclude that the proportion of couples visiting the miniature golf course is different
between the two groups?
O Yes ONo
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