Question

Provide an appropriate response. In the recent past, a beverage maker invited consumers to blindly test for flavor. They were asked to consumers who will determine which of the two soft drinks (manufacturer's 1-soda brand or competitor's 2-soda brand) preferred. The manufacturer was interested in determining what factors played a role in the taste preferences of persons. One of the factors studied was the gender of the consumer. Let pl be the actual proportion of men who prefer Mark 1 and let p2 be the actual proportion of women who prefer Mark 1. Below is a couplet printed on a computer that compares the taste preferences of the men and women surveyed. Ho: P1 = P2 SAMPLES SELECTED FROM soda (brand1, brand2) ills females (sex = 0, ills) (sex = 1, females) X = ills Y = females PI = 0.422018 sample size of X = 109 P2 = 0.25 sample size of Y = 52 PI-P2 = 0.172018 z = 2.11825 To determine if there is a difference in the taste preferences of men and women, what alternative hypothesis would the maker?

Answer 1

To test that the there is a diffrence in the test preferences of men and women.

Ho : P1=P2 H1= P1 ≠ P2

Given - P = 0.422018 P2 = 0.25- ai – log n2 52 To test Hot P, P2 is HiPiZ P2 poole at estimate ng pict on 2 atna log x 0.42 2018 & 52 x 0.25 109 +52 161 ł = 0.366459 - - p = 0.63354 1 9

test statistic, t - P2 14 n42) 0.42 2018 - 025 10.366459 x 0.63354 1 ct & Ilog 52 2 0.17 2019 0.081 208 = 2.118243 Test statistic, = 2.118243 P-value ! p-value = P 1217 2.118243) Pevalie = 0.0346 ir & h 0.05 - then Peralve = 0.0346 c we rereet Ho. d = o.or I . There is sufficient evrdenie to corelude that the there is difference in the taste prefrones. of mes 7 women.