Participant #1 #2 #3 #4 #5 #6 #7 #8 Before 86 65 74 55 93 52 66 67 After 81 62 71 49 83 51 61 63 Carry out an appropriate hypothesis test to determine whether the fitness programme is effective in reducing weight. State the test hypotheses, and specify your test statistic and its distribution under the null hypothesis. Comment on your State any assumptions you made in (i). State an alternative hypothesis test to determine whether the fitness programme is effective in reducing weight. Justify why you did not use this hypothesis test in part (i). Give a 95% confidence interval for the difference in On the basis of the data alone, would you consider trying this fitness programme if you wanted to lose weight? Provide an explanation with your

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.