What is the conclusion based on the hypothesis test?Since the P-value isthe significance level,the null hypothesis. Theresufficient evidence to support the claim thatactresses are generally younger when they won the award than actors.b. Construct the confidence interval that could be used for the hypothesis test described in part (a). What feature of the confidence interval leads to the sameconclusion reached in part (a)?The confidence interval isyear(s) < Hd <year(s).(Round to one decimal place as needed.)What feature of the confidence interval leads to the same conclusion reached in part (a)?Since the confidence interval containsthe null hypothesis. The following data lists the ages of a random selection of actresses when they won an award in the category of Best Actress, along with the ages of actors when theywon in the category of Best Actor. The ages are matched according to the year that the awards were presented. Complete parts (a) and (b) below.Actress (years) 26273126362328432934Actor (years)65353842343546403842a. Use the sample data with a 0.01 significance level to test the claim that for the population of ages of Best Actresses and Best Actors, the differences have a meanless than 0 (indicating that the Best Actresses are generally younger than Best Actors).In this example, µa 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 minusthe actor's age. What are the null and alternative hypotheses for the hypothesis test?Ho: Hdyear(s)H1: Hdyear(s)(Type integers or decimals. Do not round.)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 isthe significance level,the null hypothesis. Theresufficient evidence to support the claim thatactresses are generally younger when they won the award than actors.

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Description: What is the conclusion based on the hypothesis test?Since the P-value isthe significance level,the null hypothesis. Theresufficient evidence to support the claim thatactresses are generally younger when they won the award than actors.b. Construct th

Given Information: The data lists the ages of a random selection of actresses when they won an award…

Math

Statistics

wing data lists ages random selection of actresses when tney award in the category of Bes along with the ages of actors wnen von in the category of Best Actor. The ages are matched according to the year that the awards were presented. Complete parts (a) and (b) below. Actress (years) 26 Actor (years) 27 31 26 36 23 28 43 29 34 D 65 35 38 42 34 35 46 40 38 42 . Use the sample data with a 0.01 significance level to test the claim that for the population of ages of Best Actresses and Best Actors, the differences have a me: ess than 0 (indicating that the Best Actresses are generally younger than Best Actors). n 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 n he actor's age. What are the null and alternative hypotheses for the hypothesis test? A Pri :0- year(s) year(s) Type integers or decimals. Do not round.) Pri :H dentify the test statistic. (Round to two decimal places as needed.) dentify the P-value.

wing data lists ages random selection of actresses when tney award in the category of Bes along with the ages of actors wnen von in the category of Best Actor. The ages are matched according to the year that the awards were presented. Complete parts (a) and (b) below. Actress (years) 26 Actor (years) 27 31 26 36 23 28 43 29 34 D 65 35 38 42 34 35 46 40 38 42 . Use the sample data with a 0.01 significance level to test the claim that for the population of ages of Best Actresses and Best Actors, the differences have a me: ess than 0 (indicating that the Best Actresses are generally younger than Best Actors). n 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 n he actor's age. What are the null and alternative hypotheses for the hypothesis test? A Pri :0- year(s) year(s) Type integers or decimals. Do not round.) Pri :H dentify the test statistic. (Round to two decimal places as needed.) dentify the P-value.

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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Section: Chapter Questions

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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

Topic Video

Question

What is the conclusion based on the hypothesis test?
Since the P-value is
the significance level,
the null hypothesis. There
sufficient evidence to support the claim that
actresses are generally younger when they won the award than actors.
b. Construct the confidence interval that could be used for the hypothesis test described in part (a). What feature of the confidence interval leads to the same
conclusion reached in part (a)?
The confidence interval is
year(s) < Hd <
year(s).
(Round to one decimal place as needed.)
What feature of the confidence interval leads to the same conclusion reached in part (a)?
Since the confidence interval contains
the null hypothesis.

The following data lists the ages of a random selection of actresses when they won an award in the category of Best Actress, along with the ages of actors when they
won in the category of Best Actor. The ages are matched according to the year that the awards were presented. Complete parts (a) and (b) below.
Actress (years) 26
27
31
26
36
23
28
43
29
34
Actor (years)
65
35
38
42
34
35
46
40
38
42
a. Use the sample data with a 0.01 significance level to test the claim that for the population of ages of Best Actresses and Best Actors, the differences have a mean
less than 0 (indicating that the Best Actresses are generally younger than Best Actors).
In this example, µa 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?
Ho: Hd
year(s)
H1: Hd
year(s)
(Type integers or decimals. Do not round.)
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
the significance level,
the null hypothesis. There
sufficient evidence to support the claim that
actresses are generally younger when they won the award than actors.

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