A random sample of 102 teams playing in major international team sporting competitions has been selected to study corporate sponsorship and subsequent sporting success. Some of the variables recorded for each team are listed below.

VariableDescription

subid

Subject ID

sex

sex of players

numSponsors

number of distinct corporate sponsors

percentWin

the percentage of international games won

Address the following questions, assuming as necessary that all test assumptions are verified. Part 1 A test is run to answer the research question, ’Is there any difference between men’s teams and women’s teams in the average number of corporate sponsors?’

Which test is correct to use, if we know the population standard deviation?

Answer 1 Question 3 z-testt-test

What is the null hypothesis?

Answer 2 Question 3 There is no differenceThere is a difference

The p-value of the test is 0.012. What is the decision of the test?

Answer 3 Question 3 Accept H0Reject H0Do not accept H0Do not reject H0

Part 2 A test is run to answer the research question, ’Is the average number of corporate sponsors equal to 38?’

Which test is correct to use, if we do not know the population standard deviation?

Answer 4 Question 3 z-testt-test

The test statistic is -2.44. This means that the difference between the sample mean and the possible population mean, as stated in the null hypothesis (i.e. 38), is:

Answer 5 Question 3 -1.96 times the standard error of the sample mean-1.96 times the standard deviation of the number of corporate sponsors-2.44 times the standard deviation of the number of corporate sponsors-2.44 times the standard error of the sample mean

The p-value of the test is 0.017. What is the decision of the test?