Consider the hypothesis test: HoiH=Ho Hail # Ho A dataset of size n is collected, a test statsitic z is calculated, and then a p-value is calculated. p=2P(Zs z) Which of the following is a correct interpretation of the p-value? O The p-value is the probability that we rejected the null hypothesis correctly. O The p-value is the probability of observing a test statistic at least as extreme as ours under the assumption that the null hypothesis is true. O none of these O The p-value is the probability of observing a test statistic equal ours under the assumption that the null hypothesis is tru

37

4.3.19 Question Help The table below displays results from experiments with polygraph instruments. Find the positive predictive value for the test. That is, find the probability that the subject lied, given that the test yields a positive result. Did the Subject Actually Lie? No (Did Not Lie) Yes (Lied) Positive test results 12 45 Negative test results 31 9. The probability is : (Round to three decimal places as needed.) Enter your answer in the answer box and then click Check Answer. Clear All Check Answer All parts showing MacBook DII DD 80 000 000 F11 F12 F9 F10 =2 F5 F6 F7 F8 F3 F4 # $ & * ( %3D 5 6 7 8

Refer to the accompanying table, which describes results from groups of 8 births from 8 different sets of parents. The random variable x represents the number of girls among 8 children. Find the mean and standard deviation for the number of girls in 8 births

P VALUE FOR TEST HYPOTHESIS

Let discrete random variable X represeant the number of addictive substances used by subjects is a study. The following table summarize the frequency distribution for this random variable. (Data are randomly generated) Number of addictive substances used 0 1 2 3 4 5 6 7 8 9 Frequency 153 351 151 81 47 24 10 10 3 1 A subject is selected at random from those involved in the study. Let p₁ be the probability that the subject used 2 addictive substances, p2 the probability that the subject used fewer than 4 addictive substances, p3 the probability that the subject used more than 6 addictive substances, and p4 the probability that the subject used between 5 and 8 addictive substances, inclusive. Then the P₁, P2, P3, and P4 are, respectively, (Choose one from the following which is closest to the correct answer.) O a. 0.1817, 0.8857, 0.0168, 0.0277. O b. 0.1817, 0.8857, 0.0168, 0.0529. e. 0.1817, 0.8857, 0.0289, 0.0566. O d. 0.1817, 0.9422, 0.0168, 0.0566. O c. 0.1817, 0.8857, 0.0168, 0.0566.