SOLUTION: Test the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats at the 0.1 significance level.
Based on a sample of 2
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Based on a sample of 2
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Question 1191809: Test the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats at the 0.1 significance level.
Based on a sample of 20 men, 45% owned cats
Based on a sample of 20 women, 50% owned cats
Test statistic is=
P-value is=
You can put this solution on YOUR website! Ho: p1=p2
Ha: p1 NE p2
test stat is 2 sample proportion
critical value is |z|>1.645
p total is 19/40=0.475
calculation z=(p1-p2)/sqrt pt(1-pt) (1/n1)+1/n2)}
=-0.05/sqrt {0.475*0.525{2/20)]
=-0.3166
Fail to reject Ho p-value is 0.76, double the probability of the z-value because 2-way test.
This is greater than 0.10.
