A marriage counselor has traditionally seen that the proportion p of all married couples for whom her communication program can prevent divorce is 77%. After making some recent changes, the marriage counselor now claims that her program can prevent divorce in more than 77% of married couples. In a random sample of 220 married couples who completed her program, 182 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? Espan 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.) [rel (a) State the null hypothesis Ho and the alternative hypothesis H₁. μ O Р H:0 H₁:0 X 59 (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.) Check (g TH acer ← A esc ! @ 2 # 3 2 $ 4 % 5 6 ロメロ 口 & X O S 6 06 8 020 P 7 S ©2022 M * 8 8 13

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
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A marriage counselor has traditionally seen that the proportion p of all married couples for whom her communication program can prevent divorce is 77%. After
making some recent changes, the marriage counselor now claims that her program can prevent divorce in more than 77% of married couples. In a random
sample of 220 married couples who completed her program, 182 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?
Espas
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.)
[79]
(a) State the null hypothesis H, and the alternative hypothesis H₁.
H
O
Р
H:0
H₁:0
S
6
(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.)
Check
T
g
acer
Oll
→>
A
esc
!
1
2
#
m
3
C
с
$
4
%
5
10
6
X
0-8
X
&
O
7
S
Ⓒ2022 M
▸
3
*
8
Culci
50
P
8 18 ER
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 77%. After making some recent changes, the marriage counselor now claims that her program can prevent divorce in more than 77% of married couples. In a random sample of 220 married couples who completed her program, 182 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? Espas 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.) [79] (a) State the null hypothesis H, and the alternative hypothesis H₁. H O Р H:0 H₁:0 S 6 (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.) Check T g acer Oll →> A esc ! 1 2 # m 3 C с $ 4 % 5 10 6 X 0-8 X & O 7 S Ⓒ2022 M ▸ 3 * 8 Culci 50 P 8 18 ER
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