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Listed below are ages of actresses and actors at the time that they won an award for the categories of Best Actress and Best Actor. Use the sample data to test for a difference between the ages of actresses and actors when they win the award. Use a 0.05 significance level. Assume that the paired sample data is a simple random sample and that the differences have a distribution that is approximately normal. 35 58 24 Actress's age Actor's age 14 28 46 41 62 53 38 In this example, Ha is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the actress's age minus the actor's age. What are the null and alternative hypotheses for the hypothesis test? O A. Ho Hg #0 H: H =0 O B. Ho: Ha =0 H,: P 0 OC. Ho Hg +0 O D. Ho: Ha =0 H H >0 H: Ha <0 Identify the test statistic. t= (Round to two decimal places as needed.) Identify the P.value. P-value = (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? Since the P-value is v than the significance level, v the null hypothesis. There V sufficient evidence to support the claim that there is a difference between the ages of actresses and actors when they win the award.

Listed below are ages of actresses and actors at the time that they won an award for the categories of Best Actress and Best Actor. Use the sample data to test for a difference between the ages of actresses and actors when they win the award. Use a 0.05 significance level. Assume that the paired sample data is a simple random sample and that the differences have a distribution that is approximately normal. 35 58 24 Actress's age Actor's age 14 28 46 41 62 53 38 In this example, Ha is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the actress's age minus the actor's age. What are the null and alternative hypotheses for the hypothesis test? O A. Ho Hg #0 H: H =0 O B. Ho: Ha =0 H,: P 0 OC. Ho Hg +0 O D. Ho: Ha =0 H H >0 H: Ha <0 Identify the test statistic. t= (Round to two decimal places as needed.) Identify the P.value. P-value = (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? Since the P-value is v than the significance level, v the null hypothesis. There V sufficient evidence to support the claim that there is a difference between the ages of actresses and actors when they win the award.

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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Listed below are ages of actresses and actors at the time that they won an award for the categories of Best Actress and Best Actor. Use the sample data to test for a difference between the ages of actresses and actors when they win the award. Use a 0.05 significance level. Assume that the paired sample data is a simple random sample and that the differences have a distribution that is approximately normal. Actress's age 14 35 28 58 24 Actor's age 46 41 62 53 38 In this example, Ha is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the actress's age minus the actor's age. What are the null and alternative hypotheses for the hypothesis test? O A. Ho: Ha + 0 H,: Ha = 0 O B. Ho: Ha = 0 H1: Hg #0 O D. Ho: Hd = 0 O C. Ho: Hd # 0 H1: H > 0 H1: Ha <0 Identify the test statistic. t= (Round to two decimal places as needed.) Identify the P-value. P-value = (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? Since the P-value is V than the significance level, V the null hypothesis. There sufficient evidence to support the claim that there is a difference between the ages of actresses and actors when they win the award.
Transcribed Image Text:Listed below are ages of actresses and actors at the time that they won an award for the categories of Best Actress and Best Actor. Use the sample data to test for a difference between the ages of actresses and actors when they win the award. Use a 0.05 significance level. Assume that the paired sample data is a simple random sample and that the differences have a distribution that is approximately normal. Actress's age 14 35 28 58 24 Actor's age 46 41 62 53 38 In this example, Ha is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the actress's age minus the actor's age. What are the null and alternative hypotheses for the hypothesis test? O A. Ho: Ha + 0 H,: Ha = 0 O B. Ho: Ha = 0 H1: Hg #0 O D. Ho: Hd = 0 O C. Ho: Hd # 0 H1: H > 0 H1: Ha <0 Identify the test statistic. t= (Round to two decimal places as needed.) Identify the P-value. P-value = (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? Since the P-value is V than the significance level, V the null hypothesis. There sufficient evidence to support the claim that there is a difference between the ages of actresses and actors when they win the award.
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