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Mr. Acosta, a sodiologist, is doing a study to see if there is a relationship between the age of a young adult (18 to 35 years old) and the type of movie preferred. A random sample of 93 adults revealed the following data. Test whether age and type of movie preferred are independent at the 0.05 level. Person's Age 18-23 yr 24-29 yr 30-35 yr Row Total Movie Drama Science Fiction Comedy Column Total 11. 10 15 34 14 10 32 10 31 30 29 93 30 A USE SALT new window for the SALT program What is the level of aryaer State the null and alternate hypotheses. OH Age and movie preference are not independent. H,: Age and movie preference are not independent. O Hgi Age and movie preference are independent. H,: Age and movie preference are independent. OH Age and movie preference are not independent. H,: Age and movie preference are independent. denendent O Hg: Age and movie preference are independent. H,: Age and movie preference are not independent. (b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.) Are all the expected frequendies greater than 5? O Yes O No What sampling distribution will you use? O binomial O uniform O normal O Student's t O chi-square What are the degrees of freedom? (C) Find or estimate the Pvalue of the sample test statistic. O Pvalue> 0.100 O 0.050 < Pvalue < 0.100 O 0.025

Mr. Acosta, a sodiologist, is doing a study to see if there is a relationship between the age of a young adult (18 to 35 years old) and the type of movie preferred. A random sample of 93 adults revealed the following data. Test whether age and type of movie preferred are independent at the 0.05 level. Person's Age 18-23 yr 24-29 yr 30-35 yr Row Total Movie Drama Science Fiction Comedy Column Total 11. 10 15 34 14 10 32 10 31 30 29 93 30 A USE SALT new window for the SALT program What is the level of aryaer State the null and alternate hypotheses. OH Age and movie preference are not independent. H,: Age and movie preference are not independent. O Hgi Age and movie preference are independent. H,: Age and movie preference are independent. OH Age and movie preference are not independent. H,: Age and movie preference are independent. denendent O Hg: Age and movie preference are independent. H,: Age and movie preference are not independent. (b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.) Are all the expected frequendies greater than 5? O Yes O No What sampling distribution will you use? O binomial O uniform O normal O Student's t O chi-square What are the degrees of freedom? (C) Find or estimate the Pvalue of the sample test statistic. O Pvalue> 0.100 O 0.050 < Pvalue < 0.100 O 0.025

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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### Analysis of the Relationship Between Age and Movie Preference **Study Overview:** Mr. Acosta, a sociologist, conducts a study to examine the relationship between the age of young adults (18 to 39 years old) and their movie genre preference. A sample of 93 adults provides the following data: #### Data Table: | Movie Genre | 18-23 yrs | 24-29 yrs | 30-35 yrs | 36-39 yrs | Row Total | |-------------|-----------|-----------|-----------|-----------|-----------| | Drama | 8 | 11 | 15 | 34 | 68 | | Science Fiction | 4 | 10 | 5 | 11 | 30 | | Comedy | 10 | 9 | 10 | 10 | 39 | | Column Total| 32 | 30 | 31 | 55 | 93 | #### (a) Significance Level Determine the level of significance for the test. #### (b) Hypotheses State the null and alternate hypotheses: - \( H_0 \): Age and movie preference are not independent. - \( H_1 \): Age and movie preference are independent. #### (c) Chi-Square Value Calculate the chi-square statistic for the sample (Round expected frequencies to three decimal places). - Check if all expected frequencies are greater than 5. - Yes - No - Select the sampling distribution: - Binomial - Uniform - Normal - Student's \( t \) - Chi-square - Determine the degrees of freedom. #### (d) p-Value Estimation Find or estimate the p-value of the test statistic: - \( p \)-value \( > 0.100 \) - \( 0.050 < p \)-value \( < 0.100 \) - \( 0.025 < p \)-value \( < 0.050 \) - \( 0.010 < p \)-value \( < 0.025 \) - \( 0.005 < p \)-value \( < 0.010 \) - \( p \)-value \( < 0.005 \) #### (e) Hypothesis Conclusion Based on the \( p \)-value: - If \( p \
Transcribed Image Text:### Analysis of the Relationship Between Age and Movie Preference **Study Overview:** Mr. Acosta, a sociologist, conducts a study to examine the relationship between the age of young adults (18 to 39 years old) and their movie genre preference. A sample of 93 adults provides the following data: #### Data Table: | Movie Genre | 18-23 yrs | 24-29 yrs | 30-35 yrs | 36-39 yrs | Row Total | |-------------|-----------|-----------|-----------|-----------|-----------| | Drama | 8 | 11 | 15 | 34 | 68 | | Science Fiction | 4 | 10 | 5 | 11 | 30 | | Comedy | 10 | 9 | 10 | 10 | 39 | | Column Total| 32 | 30 | 31 | 55 | 93 | #### (a) Significance Level Determine the level of significance for the test. #### (b) Hypotheses State the null and alternate hypotheses: - \( H_0 \): Age and movie preference are not independent. - \( H_1 \): Age and movie preference are independent. #### (c) Chi-Square Value Calculate the chi-square statistic for the sample (Round expected frequencies to three decimal places). - Check if all expected frequencies are greater than 5. - Yes - No - Select the sampling distribution: - Binomial - Uniform - Normal - Student's \( t \) - Chi-square - Determine the degrees of freedom. #### (d) p-Value Estimation Find or estimate the p-value of the test statistic: - \( p \)-value \( > 0.100 \) - \( 0.050 < p \)-value \( < 0.100 \) - \( 0.025 < p \)-value \( < 0.050 \) - \( 0.010 < p \)-value \( < 0.025 \) - \( 0.005 < p \)-value \( < 0.010 \) - \( p \)-value \( < 0.005 \) #### (e) Hypothesis Conclusion Based on the \( p \)-value: - If \( p \
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