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 29 D 17 50 30 43 24 64 57 54 Actor's age 39 CIB In this example, "a 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? OA. Ho: Hd #0 OB. Ho: d=0 H₁: Hd=0 H₁: Hd <0 OC. Ho: Hd = 0 OD. Ho: Ha #0 H₁: Hd>0 H₁: Hd #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.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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P-value = (Round to three decimal places as needed.)
What is the conclusion based on the hypothesis test?
than the significance level,
Since the P-value is
win the award.
the null hypothesis. There
▼sufficient evidence to support the claim that there is a difference between the ages of actresses and actors when they
Transcribed Image Text:P-value = (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? than the significance level, Since the P-value is win the award. the null hypothesis. There ▼sufficient evidence to support the claim that there is a difference between the ages of actresses and actors when they
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
29
17
50
30
43
24
64
57
54
Actor's age
39
Com
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: Hd #0
O B. Ho: Hd = 0
H₁: Hd=0
H₁: Hd <0
O C. Ho: Hd = 0
O D. Ho Hd #0
H₁: Hd >0
H₁: Hd #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.)
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 29 17 50 30 43 24 64 57 54 Actor's age 39 Com 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: Hd #0 O B. Ho: Hd = 0 H₁: Hd=0 H₁: Hd <0 O C. Ho: Hd = 0 O D. Ho Hd #0 H₁: Hd >0 H₁: Hd #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.)
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