Question

500 democrates 280 plan to vote in favor of proposition 35 in November. and when 560 republicans were asked , 273 of them said they will vote in favor of proposition 35. At the the level 0.02, can we conclude that there is a difference between the proportions of these 2 parties on their approval of prob 35? please show the 6 step hypothesis test for Ho: p1-p2=0 at the indicated level of significance

Answer 1

Lw\et , P1 be the population proportion of democrates who plan to vote in favor of proposition 35 and P2 be the population proportion of republicans who vote in favor of proposition 35

The sample estimates are ,

The pooled estimate is ,

The null and aletrnative hypothesis is ,

The test is two-tailed test.

The test statistic is ,

The critical values are ,

; From Z-table

Decision : Here , teh value of the test statistic lies in teh rejection region.

Therefore , Reject the null hypothesis.

Conclusion : Hence , there sufficient evidence to conclude that there is a difference between the proportion of these 2 parties on their approval of prob 35.