What are the two decisions that you can make from performing a hypothesis test? What are the two decisions that you can make from performing a hypothesis test? Sele all that apply. \( \begin{array}{ll}\text { A. fail to reject the alternative } \\ \text { hypothesis } & \square \text { B. make a type Il error } \\ \square \text { C. reject the alternative hypothesis } & \square \text { D. fail to reject the null hypothesis } \\ \square \text { E. accept the alternative hypothesis } & \square \text { F. make a type I error } \\ \square \text { G. accept the null hypothesis } & \square \text { H. reject the null hypothesis }\end{array} \)

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 \( =\square \)

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

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

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