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. |

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

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