One hundred individuals from the state of Tasmania and 250 from South Australia were asked whether or not they would vote for their respective incumbent state governments in the next election. Forty one percent of the Tasmanians and 48% of the South Australians said they would vote for the government. 1. Determine a 99% confidence interval for the difference in the proportions of the populations who intend to vote for the incumbent governments in Tasmania and South Australia based on these data. 2. Given the interval in (1), briefly discuss the evidence that South Australia has a higher proportion of voters who support their state government than Tasmania.
One hundred individuals from the state of Tasmania and 250 from South Australia were asked whether or not they would vote for their respective incumbent state governments in the next election. Forty one percent of the Tasmanians and 48% of the South Australians said they would vote for the government.
1. Determine a 99% confidence interval for the difference in the proportions of the populations who intend to vote for the incumbent governments in Tasmania and South Australia based on these data.
2. Given the interval in (1), briefly discuss the evidence that South Australia has a higher proportion of voters who support their state government than Tasmania.
3. For a hypothesis test of (2), what would be the alternate hypothesis and the test statistic?
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 2 images
