Answered: A marriage counselor has traditionally…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Related questions

Question

A marriage counselor has traditionally seen that the proportion

of all married couples for whom her communication program can prevent divorce is

76%

. After making some recent changes, the marriage counselor now claims that her program can prevent divorce in more than

76%

of married couples. In a random sample of

245

married couples who completed her program,

189

of them stayed together. Based on this sample, is there enough evidence to support the marriage counselor’s claim at the

0.01

level of significance?

Perform a one-tailed test. Then complete the parts below.

Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.)

(a)	State the null hypothesis H0 and the alternative hypothesis H1 .
H0:
H1:
(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)	Is there enough evidence to support the marriage counselor's claim that the proportion of married couples for whom her program can prevent divorce is more than 76% ?
Yes No