Problem

A random sample of \(40~\text{voters}\) contains \(26~\text{supporters}\). Under a population proportion of \(0.50\), \(312\) of \(5,000\) simulations produced at least \(26~\text{supporters}\). State the null simulation, statistic, \(p\text{-}\text{value}\), and population conclusion at \(\text{alpha}~=~0.05\).

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Under p = 0.50, generate 40 Bernoulli outcomes and use support count. The p-value is 312/5000 = 0.0624, so the result is not significant at alpha = 0.05.

Under p = 0.50, generate 40 Bernoulli outcomes and use support count. The p-value is 312/5000 = 0.0624, so report a significant result at alpha = 0.05.

Under p = 0.50, shuffle supporter labels among the 40 fixed voter outcomes and use support count. The p-value is 312/5000 = 0.0624, so report a nonsignificant result.

Under p = 0.50, generate 40 Bernoulli outcomes but use the longest run of supporters as the statistic. The p-value is 312/5000 = 0.0624, so report a nonsignificant result.

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