Two-sample Tests of Hypotheses Handout

Two-sample Tests of Hypotheses Handout - 19 out of 100...

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Two-sample Tests of Hypotheses (Proportions) Manelli Perfume Company recently developed a new fragrance that it plans to market under the name “Heavenly”. A number of market studies indicate that Heavenly has very good market potential. The sales department at Manelli is particularly interested in whether there is a difference in the proportions of younger and older women who would purchase “Heavenly” if it were marketed. There are two independent populations, a population consisting of the younger women and a population consisting of the older women. Each participant will be asked to smell “Heavenly” and indicate whether she likes the fragrance enough to purchase a bottle.
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Unformatted text preview: 19 out of 100 younger women would purchase the perfume while 62 out of 200 older women stated they would purchase the perfume. 1. State the Null and Alternative Hypotheses: 2. Select the level of significance (alpha level). 3. Determine the test statistic (z). Hypothesis test for two independent proportions p1 p2 p c 0.19 0.31 0.27 p (as decimal) 19/100 62/200 81/300 p (as fraction) 19. 62. 81. X 100 200 300 n-0.12 difference 0. hypothesized difference 0.0544 std. error-2.21 z .0273 p-value (two-tailed) 4. Formulate the decision rule (identify the critical values) and make a decision...
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