hat the awards were presented. Complete parts (a) and (b) below. Actress (years) 27 31 34 29 37 28 24 42 32 34 O Actor (years) 60 40 35 40 27 37 55 42 39 39 a. Use the sample data with a 0.05 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). 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 minus the actor's age. What are the null and alternative hypotheses for the nypothesis test? A PrH :0 H:Ha VO year(s) year(s) Type integers or decimals. Do not round.) dentify the test statistic. = (Round to two decimal places as needed.) dentify the P-value. P-value =O (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? Since the P-value is V the significance level, V the null hypothesis. There V sufficient evidence to support the claim that actresses are generally younger when they won the award than actors. o. Construct the confidence interval that could be used for the hypothesis test described in part What feature of the confidence interval leads to the same conclusion reached in part (a)? The confidence interval is year(s)
hat the awards were presented. Complete parts (a) and (b) below. Actress (years) 27 31 34 29 37 28 24 42 32 34 O Actor (years) 60 40 35 40 27 37 55 42 39 39 a. Use the sample data with a 0.05 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). 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 minus the actor's age. What are the null and alternative hypotheses for the nypothesis test? A PrH :0 H:Ha VO year(s) year(s) Type integers or decimals. Do not round.) dentify the test statistic. = (Round to two decimal places as needed.) dentify the P-value. P-value =O (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? Since the P-value is V the significance level, V the null hypothesis. There V sufficient evidence to support the claim that actresses are generally younger when they won the award than actors. o. Construct the confidence interval that could be used for the hypothesis test described in part What feature of the confidence interval leads to the same conclusion reached in part (a)? The confidence interval is year(s)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Answer please and thank you
![**Understanding Confidence Intervals and Hypothesis Testing**
*What feature of the confidence interval leads to the same conclusion reached in part (a)?*
Since the confidence interval contains [dropdown option] [dropdown option] the null hypothesis.
This section provides an interactive learning tool that helps students understand how confidence intervals relate to hypothesis testing. The dropdown menus allow students to select options that describe features of the confidence interval which support the conclusion about the null hypothesis. By exploring these options, learners gain insight into interpreting statistical results in scientific research and data analysis.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8c04ba3d-9d3c-4d53-9efb-a0e576f3b227%2F7e2a56d3-30e8-4578-ae73-991fed10ec6e%2Fnrei563_processed.png&w=3840&q=75)
Transcribed Image Text:**Understanding Confidence Intervals and Hypothesis Testing**
*What feature of the confidence interval leads to the same conclusion reached in part (a)?*
Since the confidence interval contains [dropdown option] [dropdown option] the null hypothesis.
This section provides an interactive learning tool that helps students understand how confidence intervals relate to hypothesis testing. The dropdown menus allow students to select options that describe features of the confidence interval which support the conclusion about the null hypothesis. By exploring these options, learners gain insight into interpreting statistical results in scientific research and data analysis.
![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.
**Data:**
- Actress (years): 27, 31, 34, 29, 37, 28, 24, 42, 32, 34
- Actor (years): 60, 40, 35, 40, 27, 37, 35, 44, 39, 39
**a. Use the sample data with a 0.05 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, \( \mu_d \) 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.
- **Null Hypothesis (\( H_0 \)):** \( \mu_d = \) [box for input]
- **Alternative Hypothesis (\( H_1 \)):** \( \mu_d < \) [box for input]
(Type integers or decimals. Do not round.)
- Identify the test statistic.
- \( t = \) [box for input] (Round to two decimal places as needed.)
- Identify the P-value.
- \( \text{P-value} = \) [box for input] (Round to three decimal places as needed.)
- What is the conclusion based on the hypothesis test?
- Since the P-value is [box for input] the significance level, [box for input] the null hypothesis. There [box for input] 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) < \( \mu_d \) < \( \_ \) year(s). (Round to one decimal place as needed.)
- What feature of the confidence](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8c04ba3d-9d3c-4d53-9efb-a0e576f3b227%2F7e2a56d3-30e8-4578-ae73-991fed10ec6e%2Fvbtd9g9_processed.png&w=3840&q=75)
Transcribed Image Text: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.
**Data:**
- Actress (years): 27, 31, 34, 29, 37, 28, 24, 42, 32, 34
- Actor (years): 60, 40, 35, 40, 27, 37, 35, 44, 39, 39
**a. Use the sample data with a 0.05 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, \( \mu_d \) 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.
- **Null Hypothesis (\( H_0 \)):** \( \mu_d = \) [box for input]
- **Alternative Hypothesis (\( H_1 \)):** \( \mu_d < \) [box for input]
(Type integers or decimals. Do not round.)
- Identify the test statistic.
- \( t = \) [box for input] (Round to two decimal places as needed.)
- Identify the P-value.
- \( \text{P-value} = \) [box for input] (Round to three decimal places as needed.)
- What is the conclusion based on the hypothesis test?
- Since the P-value is [box for input] the significance level, [box for input] the null hypothesis. There [box for input] 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) < \( \mu_d \) < \( \_ \) year(s). (Round to one decimal place as needed.)
- What feature of the confidence
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