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12 Aug You work at Happy Joe’s family restaurant and want to see if customer meal satisfaction and gender are related to one another.

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You work at Happy Joe’s family restaurant and want to see if customer meal satisfaction and gender are related to one another. You take a sample of customers and ask them if they were satisfied with their meal and note their gender. To test at the 0.01 level to determine if Satisfaction and Gender are dependent, calculate the chi-square test statistic and p-value.

Question 1options:

 

1)

 5.886, the degrees of freedom is 6, and the p-value is 0.4361.

 

2)

 5.886, the degrees of freedom is 2, and the p-value is 0.0100.

 

3)

 None of the other options are fully correct.

 

4)

 5.886, the degrees of freedom is 2, and the p-value is 0.0527.

 

5)

 1.683, the degrees of freedom is 2, and the p-value is 0.9473.

Question 2

A political poll asked potential voters if they felt the economy was going to get worse, or better during the next 12 months. The party affiliations of the respondents were also noted. The results are shown in the following table. To test at the 0.01 level to determine if Party Affiliation and Response are dependent, calculate the chi-square test statistic and p-value.

Question 2 options:

 

1)

 26.781, the degrees of freedom is 4, and the p-value is 0.0000.

 

2)

 26.781, the degrees of freedom is 1, and the p-value is 0.0000.

 

3)

 None of the other options are fully correct.

 

4)

 32.912, the degrees of freedom is 1, and the p-value is 1.0000.

 

5)

 26.781, the degrees of freedom is 1, and the p-value is 0.0100.

Question 3

A marketing research firm wanted to determine whether an individual’s favored Social Network and Age Group were related. For age they grouped by 8-17, 18-34, 35-55, and 55+ and the social networks they investigated were Facebook, Google+, and Twitter. The table below presents their findings. Identify the correct conclusion using the 0.05 level of significance.

Question 3 options:

 

1)

 There is not enough information to make a conclusion.

 

2)

 We find that Social Network and Age Group are independent of each other, based on a p-value of 1.0000

 

3)

 We conclude that Social Network and Age Group are not related to each other, based on a p-value of 0.0000

 

4)

 We conclude that Social Network and Age Group are related to each other, based on a p-value of 1.0000

 

5)

 We find that Social Network and Age Group are associated with each other, based on a p-value of 0.0000

Question 4

A marketing research firm wanted to determine whether an individual’s favored Social Network and Age Group were related. For age they grouped by 8-17, 18-34, 35-55, and 55+ and the social networks they investigated were Facebook, Google+, and Twitter. The table below presents their findings. Identify the correct conclusion using the 0.01 level of significance.

Question 4 options:

 

1)

 We find that Social Network and Age Group are associated with each other, based on a p-value of 0.0001

 

2)

 We find that Social Network and Age Group are not related to each other, based on a p-value of 0.0001

 

3)

 There is no correct answer.

 

4)

 We conclude that Social Network and Age Group are independent of each other, based on a p-value of 0.9999

 

5)

 We decide that Social Network and Age Group are related to each other, based on a p-value of 0.9999

Question 5

With the growth of internet service providers, a researcher decides to examine whether there is a correlation between cost of internet service per month and degree of customer satisfaction (higher scores mean high satisfaction). The researcher only includes programs with comparable types of services. Calculate the Pearson’s correlation coefficient for the dataset below and interpret what that means.

Question 5options:

 

1)

 The correlation is -0.637 . There is a moderate positive linear association between Dollars and Satisfaction .

 

2)

 The correlation is 0.637 . There is a moderate negative linear association between Dollars and Satisfaction .

 

3)

 The correlation is -0.637 . There is a perfect negative linear association between Dollars and Satisfaction .

 

4)

 The correlation is -0.637 . There is a moderate negative linear association between Dollars and Satisfaction .

 

5)

 The correlation is 0.637 . There is a moderate positive linear association between Dollars and Satisfaction .

Question 6

You are in the market for a new car and you are analyzing some data you collected in your research. You note the mileage on a used car and its selling price. Calculate the Pearson’s correlation coefficient between mileage and price below and interpret what that means.

Question 6 options:

 

1)

 The correlation is -0.986 . There is a strong positive linear association between Mileage and Price .

 

2)

 The correlation is 0.986 . There is a strong positive linear association between Mileage and Price .

 

3)

 The correlation is 0.986 . There is a strong negative linear association between Mileage and Price .

 

4)

 The correlation is -0.986 . There is a strong negative linear association between Mileage and Price .

 

5)

 The correlation is 0.986 . There is a weak positive linear association between Mileage and Price .

Question 7

Choose the value of the Pearson’s Correlation Coefficient (r) that best describes the two plots.

Question 7 options:

 

1)

 I: 0.919, II: -0.571.

 

2)

 I: -1.371, II: 0.919.

 

3)

 I: 0.971, II: -0.919.

 

4)

 I: -0.971, II: 0.519.

 

5)

 I: -0.971, II: 0.919.

Question 8

Choose the value of the Pearson’s Correlation Coefficient (r) that best describes the two plots.

Question 8options:

 

1)

 I: 0.425, II: 0.34.

 

2)

 I: 0.825, II: 0.34.

 

3)

 I: 0.34, II: 1.225.

 

4)

 I: 0.825, II: -0.06.

 

5)

 I: -0.825, II: -0.34.

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