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urgent!! Thank you 0?) Awesome Fitness Centre wants to study the different behaviours of men and women in exercise. They believe that women will exercise

urgent!! Thank you

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0?) Awesome Fitness Centre wants to study the different behaviours of men and women in exercise. They believe that women will exercise more regularly than men. A random sample of 200 women and 150 men are interviewed and the results are shown in table below Men Women Exercise regularly 88 130 Do not exercise regularly 62 70 Total 150 200 (i) Construct a 95% condence interval for the difference in the proportion of women and men who exercise regularly. Interpret the interval. (3 marks) (ii) Conduct a test to determine if women exercise more regularly than men at 5% level of signicance. (6 marks) (iii) Calculate the power of the test in part (b) (ii) if 65% of the women and 55% of the men exercise regularly. Use a = 0.05. (4 marks)

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