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 wine Use a 0.01 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 Actor's age 18 33 22 54 23 49 47 65 50 44 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 hypothesis test? O A. Ho Ha *0 H: Pa>0 OB. Ho: Ha =0 H: Hg 0 OD. Ho: Ha =0 OC. Ho: Ha *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 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

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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 0.01 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
Actor's age
18
33
22
54
23
49
47
65
50
44
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 altenative hypothesos for the
hypothesis test?
O A. Ho Ha* 0
H: Ha >0
O B. Ho: Ha =0
H1: H #0
O C. Ho: Ha 0
O D. Ho: Hd =0
0> Pri :H
Identify the test statistic.
(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
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 0.01 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 Actor's age 18 33 22 54 23 49 47 65 50 44 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 altenative hypothesos for the hypothesis test? O A. Ho Ha* 0 H: Ha >0 O B. Ho: Ha =0 H1: H #0 O C. Ho: Ha 0 O D. Ho: Hd =0 0> Pri :H Identify the test statistic. (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 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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