Question

In: Statistics and Probability

Is attractiveness related to deciding to go out on a date?   Below is data for males...

Is attractiveness related to deciding to go out on a date?   Below is data for males and females from a study on speed dating (http://chance.amstat.org/2014/04/speed-dating/).

Males

Decision

Attractiveness

Rating

Date

No Date

0-4

11

0

4-8

100

65

8-10

16

81

Females

Decision

Attractiveness

Rating

Date

No Date

0-4

22

4

4-8

109

64

8-10

17

58

Is attractiveness related to deciding to go out on a date?   Below is data for males and females from a study on speed dating (http://chance.amstat.org/2014/04/speed-dating/).

Males

Decision

Attractiveness

Rating

Date

No Date

0-4

11

0

4-8

100

65

8-10

16

81

Females

Decision

Attractiveness

Rating

Date

No Date

0-4

22

4

4-8

109

64

8-10

17

58

  1. What type of hypothesis test would you use to see if attractiveness and deciding on a date are related for males?
  1. Goodness of Fit
  2. Test of Heterogeneity
  3. Test of Independence

2. What type of hypothesis test would you use to see if attractiveness and deciding on a date are related for females?

  1. Goodness of Fit
  2. Test of Heterogeneity
  3. Test of Independence
  1. Can you conduct the tests with data as given?
    1. Yes, because each cell has a positive number in it
    2. Yes, because each cell has a large enough value
    3. No, since totals are not given to us
    4. No, since there cells with values less than five
  2. Combine the lower two categories and conduct the tests. What are the p-values for the tests for
    1. Males
    2. Females
  3. Are attractiveness and deciding on a date related?
    1. No for males, No for females
    2. No for males, Yes for females
    3. Yes for males, No for females
    4. Yes for males, Yes for females

Solutions

Expert Solution

  1. What type of hypothesis test would you use to see if attractiveness and deciding on a date are related for males? Test of Independence
  2. What type of hypothesis test would you use to see if attractiveness and deciding on a date are related for females? Test of Independence
  3. Can you conduct the tests with data as given? Yes, because each cell has a positive number in it
  4. Combine the lower two categories and conduct the tests. What are the p-values for the tests for

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