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)|
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)
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
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