Question

QUESTION 12 2 points Save Answer The results of a recent poll on the preference of a random sample of Republican and Democrat voters regarding whether they preferred the Republican presidential candidates are shown below. VotersVoters Favoring Surveyed the Republican Candidate Party Democrat 400 Republican 450 192 225 At 95% confidence, test to determine whether or not there is a significant difference between the preferences for the two candidates. there is not sufficient evidence to conclude that there is a significant difference between the preferences for the two candidates. there is sufficient evidence to conclude that there is a significant difference between the preferences for the two candidates. there is sufficient evidence to conclude that there is a significant difference between the preferences for the two candidates. none of the above

Answer 1

Answer Date: 31/03/2019 To test the hypothesis is that there is a significance difference between the preferences for the two candidates at 5% significance level. The null and alternative hypothesis is, The z-test statistics is, By using Excel software, find z-test statistics with the help of following steps: 1) Import the data. 2) Select the MegaStat from Add-Ins option. 3) Select the Compare Independent Two Proportions from Hypothesis Tests 4)Select data input. 5) Select Confidence level, Test difference and alternative hypothesis 6) ick Ok.

Hypothesis test for two independent proportions p2 0.5 0.4906 p (as decimal) 192/400 225/450 417/850 p (as fraction) 0.48 192 400 417. X 850 n 225 450 0.02 difference 0. hypothesized difference 0.0344 std. error 0.582 z 5604 p-valetotailed) From the Excel output, the z-test statistics is 0.582 The p-value for this test is, From the Excel output, the p-value for this test is 0.5604 Decision

The conclusion is that the p-value in this context is higher than 0.05 which is 0.5604, so the null hypothesis is not rejected at 5% level of significance. There is insufficient evidence to indicate that there is a significance difference between the preferences for the two candidates. The result is not statistically significant. The answer option is1.