Construct a \( 99 \% \) confidence interval of the population proportion using the given information. \( x=175, \mathrm{n}=250 \) Click here to view the table of critical values. The lower bound is \( \square \). The upper bound is \( \square \). (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.

A population of values has a normal distribution with \( \mu=125.6 \) and \( \sigma=74 \). You intend to draw a random sample of size \( n=11 \). Find the probability that a single randomly selected value is less than 83.2 . \( P(x<83.2)= \) Find the probability that a sample of size \( n=11 \) is randomly selected with a mean less than 83.2 . \( P(\bar{x}<83.2)=0.0287 \quad \sigma^{8} \) Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact \( z \)-scores or \( z \) - scores rounded to 3 decimal places are accepted. 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

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.