A random sample of 432 voters revealed that 100 are in favor of a certain bond issue. A 95 percent confidence interval for the proportion of the population of voters who are in favor of the bond issue is - 100 ± 1.645 sqrt((0.5 * 0.5) / 432) - 0.231 ± 1.645 sqrt((0.231 * 0.769) / 432) - 100 ± 1.96 sqrt((0.5 * 0.5) / 432) - 0.231 ± 1.96 sqrt((0.231 * 0.769) / 432)
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\[ \hat{p} = \frac{100}{432} \approx 0.231 \] Show more…
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A simple random sample of 800 elements generates a sample proportion $\overline{p}=.70.$ $$\begin{array}{l}{\text { a. Provide a } 90 \% \text { confidence interval for the population proportion. }} \\ {\text { b. Provide a } 95 \% \text { confidence interval for the population proportion. }}\end{array}$$
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