Determine whether a normal sampling distribution can be used for the following sample statistics. If it can be used, test the claim about the difference between two population proportions \( p_{1} \) and \( p_{2} \) at the level of significance \( \alpha \). Assume that the samples are random and independent. Claim: \( p_{1} \neq p_{2}, \alpha=0.01 \) Sample Statistics: \( x_{1}=32, n_{1}=73, x_{2}=30, n_{2}=83 \) Calculate the standardized test statistic for the difference \( p_{1}-p_{2} \), if applicable. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. \( z=\square \) B. The conditions to two decimal places as needed.) Calculate the \( P \)-value, if applicable. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. \( p=\square \) (Round to three decimal places as needed.)
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