Use the Methods for Inferences About Two Independent Means flow chart interactive to answer the following question. When conducting a hypothesis test of the equality of the mean pulse rate of males and mean pulse rate of fomales, when can the t distribution be used with a pooled standard error? Choose the correct answer below. A. The two population standard deviations are both known. B. It cannot be assumed that the two population standard deviations are equal. C. The two samples are pooled together as one big sample. D. The two population standard deviations are both unknown, but it can be assumed that they are equal.

You are conducting a study to see if the proportion of voters who prefer Candidate \( A \) is significantly more than 0.13 . Thus you are performing a right-tailed test. Your sample data produce the test statistic \( z=1.354 \). Find the p-value accurate to 4 decimal places. \( p \)-value \( =\square \)

You are conducting a study to see if the proportion of men over 50 who regularly have their prostate examined is significantly different from 0.18 . Thus you are performing a two-tailed test. Your sample data produce the test statistic \( z=-1.456 \). Find the \( p \)-value accurate to 4 decimal places.

Question 14 You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly more than 0.56 . With \( H_{1}: \mathrm{p}>0.56 \) you obtain a test statistic of \( z=2.256 \). Use a normal distribution calculator and the test statistic to find the P-value accurate to 4 decimal places. It may be left-tailed, right-tailed, or 2 -tailed. P-value \( = \) Submit Question

Progress saved Done Question 12 You are conducting a study to see if the accuracy rate for fingerprint identification is significantly less than 0.73. Thus you are performing a left-tailed test. Your sample data produce the test statistic \( z=-1.83 \). Find the p-value accurate to 4 decimal places. p-value \( = \) Submit Question

You are conducting a study to see if the proportion of men over 50 who regularly have their prostate examined is significantly more than 0.82 . Thus you are performing a right-tailed test. Your sample data produce the test statistic \( z=1.195 \). Find the p-value accurate to 4 decimal places. p-value \( = \) Submit Question