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Mr. Acosta, a sociologist, 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 Movie 18-23 yr 24-29 yr 30-35 yr Row Total Drama 9 13 12 34 Science Fiction 9 8 13 30 Comedy 10 8 11 29 Column Total 28 29 36 93 A USE SALT (a) What is the level of significance? State the null and alternate hypotheses. O Ho: Age and movie preference are independent. H: Age and movie preference are not independent. O Ho: Age and movie preference are independent. H: Age and movie preference are independent. O Ho: Age and movie preference are not independent. H,: Age and movie preference are not independent. O Ho: Age and movie preference are not independent. H: Age and movie preference are 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 uniform O chi-square O Student's t O normal O binomial What are the degrees of freedom? O O

Mr. Acosta, a sociologist, 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 Movie 18-23 yr 24-29 yr 30-35 yr Row Total Drama 9 13 12 34 Science Fiction 9 8 13 30 Comedy 10 8 11 29 Column Total 28 29 36 93 A USE SALT (a) What is the level of significance? State the null and alternate hypotheses. O Ho: Age and movie preference are independent. H: Age and movie preference are not independent. O Ho: Age and movie preference are independent. H: Age and movie preference are independent. O Ho: Age and movie preference are not independent. H,: Age and movie preference are not independent. O Ho: Age and movie preference are not independent. H: Age and movie preference are 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 uniform O chi-square O Student's t O normal O binomial What are the degrees of freedom? O O

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Mr. Acosta, a sociologist, 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 Movie 18-23 yr 24-29 yr 30-35 yr Row Total Drama 9 13 12 34 Science Fiction 9 8 13 30 Comedy 10 8 11 29 Column Total 28 29 36 93 n USE SALT (a) What is the level of significance? State the null and alternate hypotheses. O Ho: Age and movie preference are independent. H: Age and movie preference are not independent. O Ho: Age and movie preference are independent. H,: Age and movie preference are independent. O Ho: Age and movie preference are not independent. H,: Age and movie preference are not independent. O Ho: Age and movie preference are not independent. H: Age and movie preference are 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 uniform O chi-square O Student's t O normal O binomial What are the degrees of freedom? O O
Transcribed Image Text:Mr. Acosta, a sociologist, 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 Movie 18-23 yr 24-29 yr 30-35 yr Row Total Drama 9 13 12 34 Science Fiction 9 8 13 30 Comedy 10 8 11 29 Column Total 28 29 36 93 n USE SALT (a) What is the level of significance? State the null and alternate hypotheses. O Ho: Age and movie preference are independent. H: Age and movie preference are not independent. O Ho: Age and movie preference are independent. H,: Age and movie preference are independent. O Ho: Age and movie preference are not independent. H,: Age and movie preference are not independent. O Ho: Age and movie preference are not independent. H: Age and movie preference are 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 uniform O chi-square O Student's t O normal O binomial What are the degrees of freedom? O O
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