Question

You are interested in voting pattern differences between rural and urban voters in the swing state of Iowa. With no big city, you decide that you will categorize counties with more than 50,000 residents as urban and counties with less than 10,000 people as rural. You identify 24 urban counties where 57% of the vote in the last election went for democrats (standard deviation of 11%). And you identify 28 rural counties where 49% of the vote went for democrats (standard deviation of 10%). Assume normal distributions and that both sample standard deviations are the population standard deviations. Test at 1% significance if there a difference in voting behavior?

a.What is the Null Hypothesis?

b.What is the Alternative Hypothesis?

c.Is this a one or two tail test

d.What is your test statistic?

e.Reject or fail to reject?

Answer 1

c) This is two-tailed test.

There is no sufficient evidence to conclude that there is difference in voting behaviour.