Question

Homework 13 Eming = Question 1 of 3 (1 point) | Question Attempt: 1 of Unlimited A psychologist specializing in marriage counseling claims that, among all married couples, the proportion p for whom her communication program can prevent divorce is at least 76%. In a random sample of 250 married couples who completed her program, 179 of them stayed together. Based on this sample, can we reject the psychologist's claim at the 0.01 level of significance? Perform a one-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimol places and round your answers as specified in the table. P The null hypothesis: 0 BA The alternative hypothesis B 0-0 OD 2 The type of test statistic (Choose one) CH DO The value of the test statistici (Round to at least three decimal places.) 0 X 5 The critical value at the 0.01 level of significance 0 (Round to at least three decimal places) Can we reject the psychologist's daim that the proportion of married couples for whom her program can prevent divorce is at least 76% Yes ONS Save For Later Submit Assim

Answer 1

The null hypothesis, Ho: Þ7,076 Vs, Hs: p < 0.76. where ity are respectinely and alternative hypothesis, nu Ho and is of z type, The test statistic þ- po where ✓ Po (1-P) þ be the proportion from sample of Preventation af divarce. Po is the value under Ho, n The value of a po= 0.76 0.716 179 250 ชา - 250 0-716- 0.76 0.04 4 = 0.764 0.24 aso 0027011 + (approx). -1.629 The critical value at x=0.01 level af significance Zooo 1 = -2.33 [ from table] As owy Calculated 2=-11629 tab? (-2.33) So, we fail reject the claim. to rejagion -2.33 -1.6290 acceptation on