5. [-/10 Points] DETAILS ASWSBE14 12.TB.1.001. MY NOTES ASK YOUR TEACHER You may need to use the appropriate appendix table or technology to answer this question. Shoppers were asked about their regular grocery shopping locations. The table below shows the responses of the sampled shoppers. We are interested in determining if the proportions of females in the three categories are different from each other. (Let P1, P2, and P3, represent the proportions of females for grocery chains, discount stores, and membership warehouses respectively. Use a 0.05 level of significance.) Gender Grocery Chain Discount Store Membership Warehouse Total Female 240 70 95 405 Male 85 55 55 195 Total 325 125 150 600 (a) Provide the null and alternative hypotheses. O Ho: Not all population proportions are equal. Ha: P1 = P2 = P3 O Ho: All population proportions are not equal. Ha: P1 = P2 = P3 O Ho: P1 = P2 = P3 Ha: Not all population proportions are equal. Ho: P1 = P2 = P3 Ha: All population proportions are not equal. (b) Determine the expected frequencies. Gender Grocery Chain Discount Store Membership Warehouse Total Female 405 Male 195
(b) Determine the expected frequencies. Gender Grocery Chain Discount Store Membership Warehouse Total Female 405 Male 195 Total 325 125 150 600 (c) Compute the sample proportions. (Round your answers to four decimal places.) = P1 laia = P2 P3 (d) Compute the critical values (CV;j). (Round your answers to five decimal places.) CV 12 = CV 13 = CV23 = (e) Give your conclusions by providing numerical reasoning. (Round your numerical answers to four decimal places.) P1 is --Select--- CV 12 P1 -Select--- v differ significantly from P2, since 101 - 72l = --Select--- v differ significantly from P3, since 101 - 31 = | --Select-- v differ significantly from P3, since 172 - 031 = is -Select--- | CV 13° P2 is -Select--- CV 23
5. [-/10 Points] DETAILS ASWSBE14 12.TB.1.001. MY NOTES ASK YOUR TEACHER You may need to use the appropriate appendix ta
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5. [-/10 Points] DETAILS ASWSBE14 12.TB.1.001. MY NOTES ASK YOUR TEACHER You may need to use the appropriate appendix ta
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