Question

The​ P-value is.................(Round to four decimal places as​ needed.)

Trials in an experiment with a polygraph include 97 results that include 22 cases of wrong results and 75 cases of correct results. Use a 0.01 significance level to test the claim that such polygraph results are correct less than 80% of the time. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method. Use the normal distribution as an approximation of the binomial distribution. Let p be the population proportion of correct polygraph results. Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: p=0.20 H:p<0.20 OC. He: p=0.20 H:p>0.20 O E. Ho: P = 0.20 H: D#0.20 B. Ho: p= 0.80 H: P<0.80 OD. Ho: p=0.80 H:p>0.80 0E Ha: p = 0.80 H. p#0.80 The test statistic is z = (Round to two decimal places as needed.)

The​ P-value for this hypothesis test is............................​(Round to three decimal places as​ needed.)

The​ P-value for this hypothesis test is................................​(Round to three decimal places as​ needed.)

Identify the​ P-value for this hypothesis test.

The​ P-value for this hypothesis test is....................(Round to three decimal places as​ needed.)

Answer 1

Trial is an experiement with a 97 results that include zz cases of wrong resuts and 75 cases of correct results. polygraph include a=0.01 Here daim is that polygraph result ore correct less than 8016 le p<0.80 We are interested in correct rosult, 6- .. a 75 0.773196 97 ni Where 2. cases of positive rosut Jotel results The hypothesis is Correct option is B) Ho: p=0.80 Haup20.80 Test statistic ha p - po Po (1-Po) n 0.773196-0.80 { under Ho, 0.80 (1-0.80) 97 Po=0.80} -0026804 N0.001649 0.026804 0.040614 0.659972

.: ZN-0.66 Test statistic is Z=-0.66 p-value = P (T. 2 - Izcall) plas -|-0.6599721) z p (25-0.659972) 0.254636 0.2546 p-value = 0.2546 IF p-value <a hun reject Ho Here p-value 0.2546 > 20:0|| so kle do not reject Ho. concleesjon- There is not enough edvidence to conclude that polygraph result are correct less than 80% of the time.