Question

Political Science: Voters This problem is based on information taken from The Rating Guide to Life in America’s Fifty States, by G.S. Thomas. A random sample of n1= 288 voters registered in the state of California showed that 141 voted in the last general election. A random sample of n2= 216 registered voters in the state of Colorado showed that 125 voted in the most recent general election. Do these data indicate that the population proportion of voter turnout in Colorado is higher than that in California? Use a 5% level of significance.

Answer 1

The null and alternate hypothesis are:
H0:
Ha: i.e. the population proportion of voter turnout in Colorado is higher than that in California

The test statistic is given by:

Since this is a left-tailed test, so the p-value is given by:

Since p-value is less than 0.05, so we have sufficient evidence to reject the null hypothesis H0. So, we reject H0 and say that i.e. the population proportion of voter turnout in Colorado is higher than that in California.