Question

In a sample of 340 residents of Georgetown County, 100 reported they believed the county real estate taxes were too high.

Develop a 95 percent confidence interval for the proportion of residents who believe the tax rate is too high. (Round the p(proportion) value to 2 decimal places and final answers to 3 decimal places.)

  Confidence interval for the proportion of residents is up to .

Would it be reasonable to conclude that the majority of the taxpayers feel that the taxes are too high?

(Click to select) (Yes,No)

Answer 1

Sample size, n = 340

P(a person believed the county real estate taxes were too high). p = 100/340 = 0.2941

Confidence interval, CI = p z*

For 95% confidence level, z* = 1.96

CI = 0.2941 1.96

= 0.2941 0.0484

= (0.2457, 0.3425)

No

It will not be reasonable to conclude that the majority of the taxpayers feel that the taxes are too high because the confidence interval is below 0.5