Question

Are you an impulse​ shopper? A survey of 700 grocery shoppers indicated that 30​% of males and 40​% of females make an impulse purchase every time they shop. Assume that the survey consisted of 350 males and 350 females. Complete parts​ (a) and​ (b) below.

a. At the 0.05 level of​ significance, is there evidence of a difference in the proportion of males and females who make an impulse purchase every time they​ shop?

Let group 1 be the​ males, and let group 2 be the females. State the null and alternative hypotheses. Choose the correct answer below.

Calculate the test statistic.

Determine the critical value.

State the conclusion.

b. Find the​ p-value in​ (a) and interpret its meaning.

Answer 1

Нещ be have, 1 : 350 р.). 3 1, 2 35) 2 : 0. 4 . 360+ ().4, № 3 50 — : Д. 35 350 +350 р. П, , +п р п, +т, Hypothesis Ho: P, - 2:0 На : p — + This is a two failed test

Test statistics 0.3 -0.4 za PR2 ✓ Plioplit, *t) ✓ 10.351-0-35 lg som som = 6297 Critical valu =0.05 .012=0.025 Zoritical - 2012 - 20.025 $1.96] since, Zitat < ZGulticall-1.96) 80 reject the nell Hypothesis. There is sufficient evidence to slepport the claim that there is a difference in the proportion of males and females. (3) Pralue at z=1-2.77) Pralue -2P1272.77) = 2*11- PIZS 2.77) = 2*116 0.997199) = 0.005606 interpretatim 20:00 56) Round to your deeimal Places since Pralue & *10.05 so reject the null hypothesis,

There is sufficient evidence to support the claim thae there is a difference in the proportion of males and females.

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