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Randomly chosen people were observed for about 10 seconds in several public places, such as malls and restaurants, to see whether they smiled during that time. The table shows the results for different age groups. Complete parts (a) and (b) below. Age Group 21-40 1618 3050 0-10 11-20 1731 2029 41-60 61+ Smile No Smile 1132 932 535 1176 2128 1517 (a) Looking at the table, of the 0-10 age group, 49.05% were smiling. Find the percentage of each other group that were observed smiling, and compare these percentages. (Round to two decimal places as needed.) % of the 11-20 age group were observed smiling. % of the 21-40 age group were observed smiling. % of the 41-60 age group were observed smiling % of the 61+ age group were observed smiling. Compare these percentages. O A. The older the age group, the more likely the people are smiling. O B. The younger the age group, the more likely the people are smiling. OC. Each age group is equally likely to be smiling. (b) Treat this as a single random sample of people, and test whether smiling and age group are associated, using a significance level of 0.05. Comment on the results. Identify the claim and state Ho and H Ho: Age category and whether a person is smiling H: Age category and whether a person is smiliar are independent. Which hypothesis is the claim? are dependent. O Null hypothesis

Randomly chosen people were observed for about 10 seconds in several public places, such as malls and restaurants, to see whether they smiled during that time. The table shows the results for different age groups. Complete parts (a) and (b) below. Age Group 21-40 1618 3050 0-10 11-20 1731 2029 41-60 61+ Smile No Smile 1132 932 535 1176 2128 1517 (a) Looking at the table, of the 0-10 age group, 49.05% were smiling. Find the percentage of each other group that were observed smiling, and compare these percentages. (Round to two decimal places as needed.) % of the 11-20 age group were observed smiling. % of the 21-40 age group were observed smiling. % of the 41-60 age group were observed smiling % of the 61+ age group were observed smiling. Compare these percentages. O A. The older the age group, the more likely the people are smiling. O B. The younger the age group, the more likely the people are smiling. OC. Each age group is equally likely to be smiling. (b) Treat this as a single random sample of people, and test whether smiling and age group are associated, using a significance level of 0.05. Comment on the results. Identify the claim and state Ho and H Ho: Age category and whether a person is smiling H: Age category and whether a person is smiliar are independent. Which hypothesis is the claim? are dependent. O Null hypothesis

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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Help with all parts please. The options in the first part of part (B) are the same. The next options in the part asking whether to reject or fail to reject the null hypothesis are "reject or fail to reject". The last options are "Is or is not" and then "independent or dependent"

Randomly chosen people were observed for about 10 seconds in several public places, such as malls and restaurants, to see whether they smiled during that time. The table shows the results for different age groups. Complete parts (a) and (b) below. Age Group 0-10 11-20 21-40 41-60 Smile No Smile 61+ 1132 1731 1618 932 535 1176 2029 3050 2128 1517 (a) Looking at the table, of the 0-10 age group, 49.05% were smiling. Find the percentage of each other group that were observed smiling, and compare these percentages. (Round to two decimal places as needed.) % of the 11-20 age group were observed smiling. % of the 21-40 age group were observed smiling. % of the 41-60 age group were observed smiling. % of the 61+ age group were observed smiling. Compare these percentages. O A. The older the age group, the more likely the people are smiling. B. The younger the age group, the more likely the people are smiling. O C. Each age group is equally likely to be smiling. (b) Treat this as a single random sample of people, and test whether smiling and age group are associated, using a significance level of 0.05. Comment on the results. Identify the claim and state Ho and H. Ho: Age category and whether a person is smiling Ha: Age category and whether a person is smiliar are independent. Which hypothesis is the claim? are dependent. O Null hypothesis
Transcribed Image Text:Randomly chosen people were observed for about 10 seconds in several public places, such as malls and restaurants, to see whether they smiled during that time. The table shows the results for different age groups. Complete parts (a) and (b) below. Age Group 0-10 11-20 21-40 41-60 Smile No Smile 61+ 1132 1731 1618 932 535 1176 2029 3050 2128 1517 (a) Looking at the table, of the 0-10 age group, 49.05% were smiling. Find the percentage of each other group that were observed smiling, and compare these percentages. (Round to two decimal places as needed.) % of the 11-20 age group were observed smiling. % of the 21-40 age group were observed smiling. % of the 41-60 age group were observed smiling. % of the 61+ age group were observed smiling. Compare these percentages. O A. The older the age group, the more likely the people are smiling. B. The younger the age group, the more likely the people are smiling. O C. Each age group is equally likely to be smiling. (b) Treat this as a single random sample of people, and test whether smiling and age group are associated, using a significance level of 0.05. Comment on the results. Identify the claim and state Ho and H. Ho: Age category and whether a person is smiling Ha: Age category and whether a person is smiliar are independent. Which hypothesis is the claim? are dependent. O Null hypothesis
Ho: Age category and whether a person is smiling Ha: Age category and whether a person is smiliar Which hypothesis is the claim? Null hypothesis Alternative hypothesis Calculate the degrees of freedom. d.f. = Calculate the test statistic. If convenient, use technology. x2 = (Round to three decimal places as needed.) %3D Determine the p-value. p-value = (Round to four decimal places as needed.) Decide whether to reject or fail to reject the null hypothesis. Ho- Interpret the decision in the context of the original claim. There enough evidence at the 5% level of significance to conclude that age category and smiliar are
Transcribed Image Text:Ho: Age category and whether a person is smiling Ha: Age category and whether a person is smiliar Which hypothesis is the claim? Null hypothesis Alternative hypothesis Calculate the degrees of freedom. d.f. = Calculate the test statistic. If convenient, use technology. x2 = (Round to three decimal places as needed.) %3D Determine the p-value. p-value = (Round to four decimal places as needed.) Decide whether to reject or fail to reject the null hypothesis. Ho- Interpret the decision in the context of the original claim. There enough evidence at the 5% level of significance to conclude that age category and smiliar are
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