Question

A Florida poll asked 1200 Floridians whether they would prefer an increase in taxes or a decrease in government services as a way to balance the budget. 52% of respondents stated they preferred an increase in taxes. Calculate the P-value and determine whether we can conclude that the majority of Floridians support an increase in taxes. 5. What if the poll above had asked 2500 Floridians? 6. Calculate and interpret the 95% confidence interval for the previous two questions.

Answer 1

Explanation:

Given that a lorida poll asked 1200 Floridians whether they would prefer an increase in taxes or a decrease in government services as a way to balance the budget.

`H_0: p =0.50\\H_a: p >0.50\\`

(Right tailed test)

STd error assuming H0 to be true =
`√(pq/n) =0.0144` for n =1200

Mean difference =0.02

Test statistic =1.386

p value = 0.0823

5) If n =2500, std error would be = 0.01

Test statistic Z = 2

p value = 0.25