For each of the given situations, define the parameter and write the null and alternative hypotheses in terms of parameter values. Complete parts a through d. a) Seat-belt compliance in a certain state was \( 75 \% \) in 2008 . The state wants to know if it has changed.

You are conducting a study to see if the proportion of women over 40 who regularly have mammograms is significantly different from 0.4 . Thus you are performing a two-tailed test. Your sample data produce the test statistic \( z=-1.346 \). Find the \( p \)-value accurate to 4 decimal places. p-value \( = \) Submit Question

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

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

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

Fill in the blank. In a we test the claim that different populations have the same proportions of some characteristics. McNemar's test Student t-test we test the claim that different populations have the same proportions of some characteristics test homogeneity