A marriage counselor has traditionally seen that the proportion p of all married couples for whom her commu program can prevent divorce is 79%. After making some recent changes, the marriage counselor now claims program can prevent divorce in more than 79% of married couples. In a random sample of 250 married coup completed her program, 204 of them stayed together. Based on this sample, is there enough evidence to sup 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 formula (a) State the null hypothesis Ho and the alternative hypothesis H₁. Ho :O H₁:0 (b) Determine the type of test statistic to use. (Choose one) H X 0=0 O S OSO

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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HW TWENTY

Options for part (b)

a. "Z"  b. "t"  c. "Chi-square"  d. "F"

A marriage counselor has traditionally seen that the proportion p of all married couples for whom her communication
program can prevent divorce is 79%. After making some recent changes, the marriage counselor now claims that her
program can prevent divorce in more than 79% of married couples. In a random sample of 250 married couples who
completed her program, 204 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 Ho and the alternative hypothesis H₁.
Ho :
H₁ :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) 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 79%?
O Yes O No
I
O
X S
☐#0 ロ<ロ
X
Р
0=0 OSO 020
<Q
5
00
O>O
Transcribed Image Text:A marriage counselor has traditionally seen that the proportion p of all married couples for whom her communication program can prevent divorce is 79%. After making some recent changes, the marriage counselor now claims that her program can prevent divorce in more than 79% of married couples. In a random sample of 250 married couples who completed her program, 204 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 Ho and the alternative hypothesis H₁. Ho : H₁ :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) 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 79%? O Yes O No I O X S ☐#0 ロ<ロ X Р 0=0 OSO 020 <Q 5 00 O>O
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