You are performing a hypothesis test of a single population proportion. You find out that $n p$ is less than five. What must you do to be able to perform a valid hypothesis test?
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You are performing a hypothesis testof a single population proportion. You find out that $n p$ is less than five. What must you do to be able to perform a valid hypothesis test?
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Suppose we have a multinomial population with four categories: $\mathrm{A}, \mathrm{B}, \mathrm{C},$ and $\mathrm{D} .$ The null hypothesis is that the proportion of items is the same in every category. The null hypothesis is $H_{0} : p_{\mathrm{A}}=p_{\mathrm{B}}=p_{\mathrm{C}}=p_{\mathrm{D}}=.25$ A sample of size 300 yielded the following results. $\begin{array}{lllll}{\mathrm{A} : 85} & {\mathrm{B} : 95} & {\mathrm{C} : 50} & {\mathrm{D} :70}\end{array}$ Use $a=.05$ to determine whether $H_{0}$ should be rejected. What is the $p$ -value?
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