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41 married couples without children are asked to report the number of times per year they initiate a date night. The men report initiating an average of 7.7 date nights with a standard deviation of 4.3, though it's possible they're overstating to make themselves look good. Is there significant evidence to conclude that married men without children initiate date night 6 times per year at the 0.10 significance level? Note that there's evidence that this distribution is skewed. What are the hypotheses? O Ho:4 < 6 vs H1:4>6 O Ho:4 = 6 vs H1:##6 Ο Η: μ<7.7 vs Η μ > 7.7 O Ho:H = 7.7 vs H :µ # 7.7 What distribution does the test statistic follow? Ot with 41 degrees of freedom Ot with 42 degrees of freedom Ot with 40 degrees of freedom Oz What is the value of the test statistic? Round to two decimal places. What is probability statement for the p-value? O 2P(Z test statistic) OP(Z > test statistic) O P(T 2 test statistic) O 2P(T # test statistic) O None of the above After you calculate the p-value, state and justify your decision. O Accept Ho because the p-value > a. O Reject Ho because the p-value < a. Fail to reject Ho because the p-value < a. scent HL becaure tbe palue

41 married couples without children are asked to report the number of times per year they initiate a date night. The men report initiating an average of 7.7 date nights with a standard deviation of 4.3, though it's possible they're overstating to make themselves look good. Is there significant evidence to conclude that married men without children initiate date night 6 times per year at the 0.10 significance level? Note that there's evidence that this distribution is skewed. What are the hypotheses? O Ho:4 < 6 vs H1:4>6 O Ho:4 = 6 vs H1:##6 Ο Η: μ<7.7 vs Η μ > 7.7 O Ho:H = 7.7 vs H :µ # 7.7 What distribution does the test statistic follow? Ot with 41 degrees of freedom Ot with 42 degrees of freedom Ot with 40 degrees of freedom Oz What is the value of the test statistic? Round to two decimal places. What is probability statement for the p-value? O 2P(Z test statistic) OP(Z > test statistic) O P(T 2 test statistic) O 2P(T # test statistic) O None of the above After you calculate the p-value, state and justify your decision. O Accept Ho because the p-value > a. O Reject Ho because the p-value < a. Fail to reject Ho because the p-value < a. scent HL becaure tbe palue

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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41 married couples without children are asked to report the number of times per year they initiate a date night. The men report initiating an average of 7.7 date nights with a standard deviation of 4.3, though it's possible they're overstating to make themselves look good. Is there significant evidence to conclude that married men without children initiate date night 6 times per year at the 0.10 significance level? Note that there's evidence that this distribution is skewed. What are the hypotheses? Ο H:μ< 6 s H :μ > 6 Ο Η:μ=6 vs Η : μ # 6 Ο Η5: μ<7.7 vs Η:μ> 7.7 O Ho:µ = 7.7 vs H1 : µ # 7.7 What distribution does the test statistic follow? Ot with 41 degrees of freedom Ot with 42 degrees of freedom Ot with 40 degrees of freedom Oz What is the value of the test statistic? Round to two decimal places. What is probability statement for the p-value? O 2P(Z + test statistic) OP(Z > test statistic) OP(T > test statistic) O 2P(T + test statistic) O None of the above After you calculate the p-value, state and justify your decision. O Accept Ho because the p-value > a. O Reject Ho because the p-value < a. O Fail to reject Ho because the p-value < a. OAccent H. becaure the Palue 30 tv MacBook Air 80 DII F2 F3 F4 F5 F7 FB F9 F10 @ 2$ & 2 3 4 6. 8 Y U S F G K w/
Transcribed Image Text:41 married couples without children are asked to report the number of times per year they initiate a date night. The men report initiating an average of 7.7 date nights with a standard deviation of 4.3, though it's possible they're overstating to make themselves look good. Is there significant evidence to conclude that married men without children initiate date night 6 times per year at the 0.10 significance level? Note that there's evidence that this distribution is skewed. What are the hypotheses? Ο H:μ< 6 s H :μ > 6 Ο Η:μ=6 vs Η : μ # 6 Ο Η5: μ<7.7 vs Η:μ> 7.7 O Ho:µ = 7.7 vs H1 : µ # 7.7 What distribution does the test statistic follow? Ot with 41 degrees of freedom Ot with 42 degrees of freedom Ot with 40 degrees of freedom Oz What is the value of the test statistic? Round to two decimal places. What is probability statement for the p-value? O 2P(Z + test statistic) OP(Z > test statistic) OP(T > test statistic) O 2P(T + test statistic) O None of the above After you calculate the p-value, state and justify your decision. O Accept Ho because the p-value > a. O Reject Ho because the p-value < a. O Fail to reject Ho because the p-value < a. OAccent H. becaure the Palue 30 tv MacBook Air 80 DII F2 F3 F4 F5 F7 FB F9 F10 @ 2$ & 2 3 4 6. 8 Y U S F G K w/
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