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Snoop Incorporated is a firm that does market surveys. The Rollum Sound Company hired Snoop to study the age distribution of people who stream music. To check the Snoop report, Rollum used a rar obtained the following data. Percent of Customers from Snoop Report 12% 29% 11% 10% 14% Number of Customers from Sample Customer Age (yrs) Less than 14 14 - 18 19 - 23 24 - 28 100 145 54 39 70 29 - 33 More than 33 24% 111 A USE SALT Using a 1% level of significance, test the claim that the distribution of customer ages in the Snoop report agrees with that of the sample report. (a) What is the level of significance? 0.01 State the null and alternate hypotheses. O Ho: The distributions are the same. H,: The distributions are the same. O Ho: The distributions are the same. H,: The distributions are different. O Ho: The distributions are different. H: The distributions are different. O Ho: The distributions are different. H: The distributions are the same.

Snoop Incorporated is a firm that does market surveys. The Rollum Sound Company hired Snoop to study the age distribution of people who stream music. To check the Snoop report, Rollum used a rar obtained the following data. Percent of Customers from Snoop Report 12% 29% 11% 10% 14% Number of Customers from Sample Customer Age (yrs) Less than 14 14 - 18 19 - 23 24 - 28 100 145 54 39 70 29 - 33 More than 33 24% 111 A USE SALT Using a 1% level of significance, test the claim that the distribution of customer ages in the Snoop report agrees with that of the sample report. (a) What is the level of significance? 0.01 State the null and alternate hypotheses. O Ho: The distributions are the same. H,: The distributions are the same. O Ho: The distributions are the same. H,: The distributions are different. O Ho: The distributions are different. H: The distributions are different. O Ho: The distributions are different. H: The distributions are the same.

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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A gambler complained about the dice. They seemed to be loaded! The dice were taken off the table and tested one at a time. One die was rolled 300 times and the following frequencies were recorded. Outcome 1 3 4 Observed 65 47 60 32 50 46 frequency O A USE SALT Do these data indicate that the die is unbalanced? Use a 1% level of significance. Hint: If the die is balanced, all outcomes should have the same expected frequency. (a) What is the level of significance? 0.01 State the null and alternate hypotheses. O H: The distributions are different. H,: The distributions are different. O Ho: The distributions are different. H: : The distributions are the same. The distributions are the same. H,: The distributions are different. The distributions are the same. O Ho: The distributions are the same. (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? Yes No What sampling distribution will you use? O chi-square O normal O Student's t O uniform What are the degrees of freedom?
Transcribed Image Text:A gambler complained about the dice. They seemed to be loaded! The dice were taken off the table and tested one at a time. One die was rolled 300 times and the following frequencies were recorded. Outcome 1 3 4 Observed 65 47 60 32 50 46 frequency O A USE SALT Do these data indicate that the die is unbalanced? Use a 1% level of significance. Hint: If the die is balanced, all outcomes should have the same expected frequency. (a) What is the level of significance? 0.01 State the null and alternate hypotheses. O H: The distributions are different. H,: The distributions are different. O Ho: The distributions are different. H: : The distributions are the same. The distributions are the same. H,: The distributions are different. The distributions are the same. O Ho: The distributions are the same. (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? Yes No What sampling distribution will you use? O chi-square O normal O Student's t O uniform What are the degrees of freedom?
Yes O No What sampling distribution will you use? O Student'st O chi-square O uniform O normal What are the degrees of freedom? (c) Estimate the P-value of the sample test statistic. O P-value > 0.100 O 0.050 < P-value < 0.100 O 0.025 < P-value < 0.050 O 0.010 < P-value < 0.025 O 0.005 < P-value < 0.010 O P-value < 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 P-value > a, we fail to reject the null hypothesis. O Since the P-value > a, we reject the null hypothesis. O Since the P-value < a, we reject the null hypothesis. Since the P-value < a, we fail to reject the null hypothesis. (e) Interpret your conclusion in the context of the application. At the 1% level of significance, the evidence is sufficient to conclude that that the distribution of customer ages and the age distribution shown in the Snoop report are different. O At the 1% level of significance, the evidence is insufficient to conclude that that the distribution of customer ages and the age distribution shown in the Snoop report are different.
Transcribed Image Text:Yes O No What sampling distribution will you use? O Student'st O chi-square O uniform O normal What are the degrees of freedom? (c) Estimate the P-value of the sample test statistic. O P-value > 0.100 O 0.050 < P-value < 0.100 O 0.025 < P-value < 0.050 O 0.010 < P-value < 0.025 O 0.005 < P-value < 0.010 O P-value < 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 P-value > a, we fail to reject the null hypothesis. O Since the P-value > a, we reject the null hypothesis. O Since the P-value < a, we reject the null hypothesis. Since the P-value < a, we fail to reject the null hypothesis. (e) Interpret your conclusion in the context of the application. At the 1% level of significance, the evidence is sufficient to conclude that that the distribution of customer ages and the age distribution shown in the Snoop report are different. O At the 1% level of significance, the evidence is insufficient to conclude that that the distribution of customer ages and the age distribution shown in the Snoop report are different.
Snoop Incorporated is a firm that does market surveys. The Rollum Sound Company hired Snoop to study the age distribution of people who stream music. To check the Snoop report, Rollum used a random sample of 519 customers and obtained the following data. Customer Age (yrs) Percent of Customers from Snoop Report Number of Customers from Sample Less than 14 12% 100 14 18 19 23 24 28 29 - 33 More than 33 29% 145 11% 54 10% 14% 39 70 24% 111 n USE SALT Using a 1% level of significance, test the claim that the distribution of customer ages in the Snoop report agrees with that of the sample report. (a) What is the level of significance? 0.01 State the null and alternate hypotheses. O Ho: The distributions are the same. : The distributions are the same. Ho: : The distributions are the same. H,: The distributions are different. Ho: The distributions are different. The distributions are different. O Ho: The distributions are different. H,: The distributions are the same. (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? Yes O No What sampling distribution will you use? Student's t chi-square O uniform normal
Transcribed Image Text:Snoop Incorporated is a firm that does market surveys. The Rollum Sound Company hired Snoop to study the age distribution of people who stream music. To check the Snoop report, Rollum used a random sample of 519 customers and obtained the following data. Customer Age (yrs) Percent of Customers from Snoop Report Number of Customers from Sample Less than 14 12% 100 14 18 19 23 24 28 29 - 33 More than 33 29% 145 11% 54 10% 14% 39 70 24% 111 n USE SALT Using a 1% level of significance, test the claim that the distribution of customer ages in the Snoop report agrees with that of the sample report. (a) What is the level of significance? 0.01 State the null and alternate hypotheses. O Ho: The distributions are the same. : The distributions are the same. Ho: : The distributions are the same. H,: The distributions are different. Ho: The distributions are different. The distributions are different. O Ho: The distributions are different. H,: The distributions are the same. (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? Yes O No What sampling distribution will you use? Student's t chi-square O uniform normal
Are all the expected frequencies greater than 5? Yes No What sampling distribution will you use? O chi-square O normal O Student'st O uniform What are the degrees of freedom? (c) Estimate the P-value of the sample test statistic. O P-value > 0.100 O 0.050 < P-value < 0.100 O 0.025 < P-value < 0.050 0.010 < P-value < 0.025 O 0.005 < P-value < 0.010 O P-value < 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 P-value > a, we fail to reject the null hypothesis. O Since the P-value > a, we reject the null hypothesis. O Since the P-value < a, we reject the null hypothesis. O Since the P-value < a, we fail to reject the null hypothesis. (e) Interpret your conclusion in the context of the application. O At the 1% level of significance, the evidence is sufficient to conclude that the distribution of observed outcomes for the die is different from the expected distribution of a fair die. At the 1% level of significance, the evidence is insufficient to conclude that the distribution of observed outcomes for the die is different from the expected distribution of a fair die.
Transcribed Image Text:Are all the expected frequencies greater than 5? Yes No What sampling distribution will you use? O chi-square O normal O Student'st O uniform What are the degrees of freedom? (c) Estimate the P-value of the sample test statistic. O P-value > 0.100 O 0.050 < P-value < 0.100 O 0.025 < P-value < 0.050 0.010 < P-value < 0.025 O 0.005 < P-value < 0.010 O P-value < 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 P-value > a, we fail to reject the null hypothesis. O Since the P-value > a, we reject the null hypothesis. O Since the P-value < a, we reject the null hypothesis. O Since the P-value < a, we fail to reject the null hypothesis. (e) Interpret your conclusion in the context of the application. O At the 1% level of significance, the evidence is sufficient to conclude that the distribution of observed outcomes for the die is different from the expected distribution of a fair die. At the 1% level of significance, the evidence is insufficient to conclude that the distribution of observed outcomes for the die is different from the expected distribution of a fair die.
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