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Question 5 A social study is developed to review the proportion of teenagers spend more than $2000 on clothing in a month. The result of the survey is as follow: Total number of Number of interviewees spend more than interviewees $2000 on clothing in a month Male teenager 250 100 Female teenager 225 125 (a) Find the sample proportion of (i) male teenagers, (ii) female teenagers, (iii) teenagers who spend more than $2000 on clothing in a month. (3 marks) (b) Refer to the below Excel summary report generated at 5% signicance level, prepare a report in p-value approach to conclude if there is higher proportion of female spends more than $2000 on clothing in a month than male. (The test report must include (i) null hypothesis and alternative hypothesis, (ii) calculated test statistics, (iii) p-value and (iv) conclusion with reason.) (7 marks) z-Test: Two Sample for Proportions Male Female Proportion 0.4 0.5556 Known Variance 0.2493 0.2493 Observations 250 225 Hypothesized Proportion Difference 0 z -3 .3 903 P(Z