Researchers selected 831 patients at random among those who take a certain widely-used prescription drug daily. In a clinical trial, 18 out of the 831 patients complained of flulike symptoms. Suppose that it is known that \( 1.9 \% \) of patients taking competing drugs compla of flulike symptoms. Is there sufficient evidence to conclude that more than \( 1.9 \% \) of this drug's users experience flulike symptoms as a side effect at the \( \alpha=0.05 \) level of significance? \( \mathrm{H}_{0}: \mathrm{p}=0.019 \) versus \( \mathrm{H}_{1}: \quad \mathrm{p} \) (Type integers or decimals. Do not round.) Find the test statistic, \( z_{0} \). \( z_{0}=0.57 \) (Round to two decimal places as needed.) Find the P-value. P-value = \( \square \) (Round to three decimal places as needed.)

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.

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

ou are conducting a study to see if the accuracy rate for fingerprint identification is significantly different rom 0.19 . Thus you are performing a two-tailed test. Your sample data produce the test statistic \( =1.358 \). Find the p-value accurate to 4 decimal places.

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 \( =\square \)

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