Answered: Because of this, the psychologist who…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.6: Counting Principles

Problem 16E: Job Applicants A small college needs two additional faculty members: a chemist and a statistician....

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A large number of complaints about a marriage counseling program have recently surfaced on social media. Because of this, the psychologist who created the program believes the proportion, p, if all married couples for whom the program can prevent divorce is now lower than the historical value of 75%. The psychologist takes a random sample of 220 married couples who completed the program; 149 of them stayed together. Based on this sample, is there enough evidence to support the psychologists claim at the 0.05 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table.

formulas.)
(a) State the null hypothesis H, and the alternative hypothesis H,.
H :0
H, 0
(b) Determine the type of test statistic to use.
(Choose one) ▼
(c) Find the value of the test statistic. (Round to three or more decimal places.)
(d) Find the p-value. (Round to three or more decimal places.)
(e) Can we support the psychologist's claim that the proportion of married
couples for whom her program can prevent divorce is now lower than 75%?
O Yes O No

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