In the past, a cola manufacturer invited consumers to take ablind taste test. Co

Question

In the past, a cola manufacturer invited consumers to take ablind taste test. Consumer were asked to determine which of the twosodas(Brand1 the manufacture’s own soda, or Brand 2 thecompetitor’s soda0they preferred. That manufactures wasinterested in determining which factors played a role inpeople’s taste preferences. One of the factors studied wasthe gender of the consumer. let p1 be the true proportion of menwho prefer brand 1 and let p2 be the true proportion of women whoprefer Brand 1.

Ho:p1=p2

Samples are selected from soda (brand 1,brand2)

Males (sex=0,males)

Females(sex=1,females)

X=males

Y=females

P1=0.422018

Sample size of x is 109

P2=0.25

Sample size of y=52

p1-p2=0.172018

z=2.11825

to determine if a difference exists in taste preferences of menand women.which alternative hypothesis would the manufactureruse?

Would it be Ha:m2-m1 not equal to zero

Explanation / Answer

Null Hypothesis: There is no significancedifference between the two proportions H0 : p1-p2 =0 Alternative Hypothesis: There is ansignificance difference between the two proportions H0 : p1-p2 0

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