Question

Question: You are testing the claim that the proportion of men who own cats is larger than the proportion of women who own cats.You sample 70 men, and 30% own cats.You sample 170 women, and 10% own cats. Find the proportion of the pooled samples, (p sub c), as a decimal, rounded to two decimal places.

Question: You wish to test the following claim (Ha) at a significance level of α=0.002. Ho:p1=p2, Ha:p1≠p2 You obtain 344 successes in a sample of size n1=510 from the first population. You obtain 169 successes in a sample of size n2=216from the second population. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution.

a. What is the z-score of the critical value? (Report answer accurate to three decimal places.)

b. Test statistic

c.Accept or reject the null

Question: You are performing a right-tailed matched-pairs test with 27 pairs of data. If α=.05, find the critical value, to two decimal places

Answer 1

0 0 = 10 , P = 0.30 n2 = 170. z = 0.10 The proportion of pooled Pe = X1 + X2 - nithz 1 = 0.15833 amples: 7060.30) +170(0.10) 70+ 170 ~ 10.16 @ d = 0.002 (two-tailed) (a) z score of the critical value = 3.0902 ~ 13.090 -B b) Test Statistic = 216 J510 = -3.0907 ~-3.0911 greater (C) Reject the null. [since absolute value of test statistic is than the evitical value] Right -tailed test. degrees of freedom = 27-1 = 26 d=0:05 Critical value, t8.05.26 = 1.7056 >11.70l