In the following, you may use SPSS and web calculators however you like. If you do, include relevant SPSS output. Hint: Each part except for 1(a) calls for performing a hypothesis test. You will need to use each of the following tests once:In the following, you may use SPSS and web calculators however you like. If you do, include relevant SPSS output. Hint: Each part except for 1(a) calls for performing a hypothesis test. You will need to use each of the following tests once:
• χ2 goodness-of-fit test • z-test for difference of proportions (a.k.a. 2-proportion z-test) • 1-sample t-test • χ2 test for independence and/or homogeneity
1. Recall, from Assignment 2, a researcher exploring students’ attitudes towards group work, who asked male and female students whether they preferred to work in a group or to work alone. The following is a summary of the responses collected:
Female Male Prefers to work alone 22 51 Prefers group work 35 130
(a) For an 85% confidence interval for the difference between the population pro- portions of female students who prefer group work and population proportion of male students who prefer group work, i. Check if it can be computed: (2 marks) A. List the assumptions and requirements. B. State which, if any, are violated, and how you checked them. ii. Write down the formula you would use to calculate it. (1 mark) iii. Calculate and report the confidence interval. (1 mark) iv. Write a sentence interpreting it in the context of the problem. (1 mark)
• χ2 goodness-of-fit test • z-test for difference of proportions (a.k.a. 2-proportion z-test) • 1-sample t-test • χ2 test for independence and/or homogeneity
1. Recall, from Assignment 2, a researcher exploring students’ attitudes towards group work, who asked male and female students whether they preferred to work in a group or to work alone. The following is a summary of the responses collected:
Female Male Prefers to work alone 22 51 Prefers group work 35 130
(a) For an 85% confidence interval for the difference between the population pro- portions of female students who prefer group work and population proportion of male students who prefer group work, i. Check if it can be computed: (2 marks) A. List the assumptions and requirements. B. State which, if any, are violated, and how you checked them. ii. Write down the formula you would use to calculate it. (1 mark) iii. Calculate and report the confidence interval. (1 mark) iv. Write a sentence interpreting it in the context of the problem. (1 mark)
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