Twenty years ago, \( 46 \% \) of parents of children in high school felt it was a serious problem that high school students were not being taught enough math and science. A recent survey found that 284 of 900 parents of children in high school felt it was a serious problem that high school students were not being taught enough math and science. Do parents feel differently today than they did twenty years ago? Use the \( \alpha=0.05 \) level of significance. Find the P-value. P-value \( =0.000 \) (Round to three decimal places as needed.) Determine the conclusion for this hypothesis test. Choose the correct answer below. A. Since \( P \)-value \( >\alpha \), do not reject the null hypothesis and conclude that there is not sufficient evidence that parents feel differently today. C. Since P -value \( <\alpha \), reject the null hypothesis and conclude that there is sufficient evidence that parents feel differently today. D. Since P -value \( <\alpha \), do not reject the null hypothesis and conclude that there is sufficient evidence that parents feel differently today.

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.

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

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 \( = \)

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