Question

To compare the popularity rates of two different political candidates in their respective states, a random sample of 319 citizens from State A yielded 127 who were in favor of their state's candidate whereas 92 citizens out of the 267 selected from State B were in favor of their state's candidate. We wish to use a significance level of 0.05 to test whether there exists a difference between the popularity rates of these two candidates. The value of the test statistic rounded to two significant places after the decimal is:__________.?

Answer 1

Answer Date: 01/04/2018 The z-test statistics is, By using MINITAB, find z-test statistics with the help of following steps 1)Import the data 2) Select 2 Proportions from Basic Statistics from Stat menu 3) Enter Summarized data. 4) Click option button choose level of significance and alternative hypothesis. 5) Click Ok. Test and Cl for Two Proportions Sample XN Sample p 127 319 0.398119 92 267 0.344569 Difference = p (1) -p (2) Estimate for difference: 0.0535498 95% CI for difference : (-0.0247754, 0.131875) Test for difference-0 (vs not O): Z # 1.34 P-Value 0.180 From the MINITAB output, the z-test statistics is 1.34