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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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Mr. Acosta, a sodiologist, is doing a study to see ifr 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 Drama 15 34 Science Fiction 14 10 6 30 6. Movie 30-35 vr Row Total Comedy 10 | Column Total 9 10 29 31 93 32 30 A USE SALT new window for the SALT program (a) What is the level of arymLaner State the null and alternate hypotheses. OH: Age and movie preference are not independent H,: Age and movie preference are not independent. O H: 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. O H: 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 frequencies 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 Prvalue of the sample test statistic. O Pvalue > 0.100 O 0.050 < Pvalue < 0.100 O 0.025 < Pvalue < 0.050 O 0.010 < P-value < 0.025 O 0.005 < P-value < 0.010 O Pvalue < 0.005 (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis of independence? O Since the Pvalue > a, we fail to reject the nul hypothesis. O Since the Pvalue > a, we reject the null hypothesis. O Since the Pvalue sa, we reject the null hypothesis. O Since the p-value sa, we fail to reject the null hypothesis.
Transcribed Image Text:Mr. Acosta, a sodiologist, is doing a study to see ifr 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 Drama 15 34 Science Fiction 14 10 6 30 6. Movie 30-35 vr Row Total Comedy 10 | Column Total 9 10 29 31 93 32 30 A USE SALT new window for the SALT program (a) What is the level of arymLaner State the null and alternate hypotheses. OH: Age and movie preference are not independent H,: Age and movie preference are not independent. O H: 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. O H: 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 frequencies 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 Prvalue of the sample test statistic. O Pvalue > 0.100 O 0.050 < Pvalue < 0.100 O 0.025 < Pvalue < 0.050 O 0.010 < P-value < 0.025 O 0.005 < P-value < 0.010 O Pvalue < 0.005 (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis of independence? O Since the Pvalue > a, we fail to reject the nul hypothesis. O Since the Pvalue > a, we reject the null hypothesis. O Since the Pvalue sa, we reject the null hypothesis. O Since the p-value sa, we fail to reject the null hypothesis.
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