Comparing Two Proportions Ler\'s consider this problem: Enamored with the solita

Question

Comparing Two Proportions Ler's consider this problem: Enamored with the solitaire game on his new computer, Subject A sets out to estimate his probabity of winning the game and wins 25 games while losing 192 games. Anxious to outperform Subject A Subject B plays 44 games of solitaire and wins 74 Subject B wants to know if he is performing significantly different than Subject A Let's start out by setting up the hypothesis test to see if Subject B has a different probability of winning solitaire than Subject A How should we get started? Sue 0Oijs.l e?@??? o

Explanation / Answer

Hypothesis:

H0 : p1 = p2
Ha : p1 not equal to p2

Test statistics:

p1 = 0.1667 , n1 = 444 , p2 = 0.1152 , n2 = 217

pcap = (25+74)/ (444+217)
= 0.1498

z = (0.1667 - 0.1152)/sqrt(0.1498 * (1 -0.1498)*(1/444 + 1/217))
= 1.7423

P value = 0.0814

we cannot reject the null hypothesis at 0.05 significance level.

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