According to work done by a university professor, the proportion of individuals who cover their mouth when sneezing is 0.733 . As part of a school project, Mary decides to confirm the professor's work by observing 100 randomly selected individuals sneeze and finds that 78 covered their mouth when sneezing. Do Mary's results differ from those of the professor? Complete parts (a) through (f) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2 ). (e) Determine the P-value. P-value \( =0.289 \) (Round to three decimal places as needed.) (f) State your conclusion. There \( \square \) sufficient evidence at any commonly used level of significance \( \alpha \) to conclude the proportion of individuals who cover their mouth when sneezing is

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 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 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

examined is significantly less than 0.77 . Thus you are performing a left-tailed test. Your sample data produce the test statistic \( z=-2.924 \). Find the \( p \)-value accurate to 4 decimal places. \( p \)-value \( = \)

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