Question 1087270: A study of cats and dogs found that 39 of 60 cats and 21 of 50 dogs slept more than 10 hours per day. At the 0.05 level of significance, is there sufficient evidence to conclude that a difference exists between the proportions of cats and dogs that sleep more than 10 hours per day?
Yes, because the test value 7.81 is outside the noncritical region –1.96 < z < 1.96.
Yes, because the test value 2.41 is outside the noncritical region –1.96 < z < 1.96.
Yes, because the test value 2.80 is outside the noncritical region –1.65 < z < 1.65.
Yes, because the test value 6.32 is outside the noncritical region –1.65 < z < 1.65.
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! It is the second.
The formula for the test statistic of a 2-sample proportion is the difference in proportions (.65-.42)/sqrt ((.55*.45)/60+(.55*.45)/50)). This is 2.41
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