Two hundred census tracts in a city are selected at random.It is found that 100 of these tracts are serviced by a community center; the others are not.  You compare the delinquency rates for these two types of tracts and obtain the following sample results:                                                                    Without Center              With Center             Sample Size                                          100                                100             Mean Delinquency Rate                          35                                  25             Standard Deviation                                  8                                   6   Test the null hypothesis that there is no difference in the delinquency rates for the two types of tracts.  Use a significance level of .05.   From the data in problem #1, construct a 95% confidence interval around the difference in population means.Interpret your answer.   For the following random samples of scores, test the null hypothesis that the mean of population A is less than or equal to the mean of population B.Use a significance level of .05.  (Note that you will first need to calculate the sample means and sample standard deviations.)                                                     Sample A                                Sample B                                                           15                                            10                                                         18                                            11                                                         12                                            12                                                         17                                            10                                                         19                                            10   In a recent poll, 70% of the 600 female respondents said they would vote for a woman president, while 50% of the 500 male respondents said they would vote for a woman president.   Construct a 95% confidence interval around the difference in population proportions.   Test the null hypothesis that the percentage of females who would vote for a woman president is less than or equal to the percentage of males who would so vote.  Use a significance level of .05.

Social Psychology (10th Edition)
10th Edition
ISBN:9780134641287
Author:Elliot Aronson, Timothy D. Wilson, Robin M. Akert, Samuel R. Sommers
Publisher:Elliot Aronson, Timothy D. Wilson, Robin M. Akert, Samuel R. Sommers
Chapter1: Introducing Social Psychology
Section: Chapter Questions
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  1. Two hundred census tracts in a city are selected at random.It is found that 100 of these tracts are serviced by a community center; the others are not.  You compare the delinquency rates for these two types of tracts and obtain the following sample results:

 

                                                                 Without Center              With Center

 

          Sample Size                                          100                                100

 

          Mean Delinquency Rate                          35                                  25

 

          Standard Deviation                                  8                                   6

 

Test the null hypothesis that there is no difference in the delinquency rates for the two types of tracts.  Use a significance level of .05.

 

  1. From the data in problem #1, construct a 95% confidence interval around the difference in population means.Interpret your answer.

 

  1. For the following random samples of scores, test the null hypothesis that the mean of population A is less than or equal to the mean of population B.Use a significance level of .05.  (Note that you will first need to calculate the sample means and sample standard deviations.)

 

                                                  Sample A                                Sample B

 

                                                        15                                            10

                                                        18                                            11

                                                        12                                            12

                                                        17                                            10

                                                        19                                            10

 

  1. In a recent poll, 70% of the 600 female respondents said they would vote for a woman president, while 50% of the 500 male respondents said they would vote for a woman president.

 

  1. Construct a 95% confidence interval around the difference in population proportions.

 

  1. Test the null hypothesis that the percentage of females who would vote for a woman president is less than or equal to the percentage of males who would so vote.  Use a significance level of .05.
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