A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 323 people over the age of 55, 73 dream in black and white, and among 315 people under the age of 25, 18 dream in black and white. Use a 0.01 significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. Complete parts (a) through (c) below. H₁: Py =P₂ Identify the test statistic. z= 6.10 (Round to two decimal places as needed.) Identify the P-value. P-value=0.000 (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? H₁: Pg #P₂ The P-value is less than the significance level of a 0.01, so dream in black and white is greater than the proportion for those under 25. reject b. Test the claim by constructing an appropriate confidence interval The 98% confidence interval is < (P₁-P₂) < (Round to three decimal places as needed.) H₁: Pg #P₂ the null hypothesis. There is sufficient evidence to support the claim that the proportion of people over 55 who
A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 323 people over the age of 55, 73 dream in black and white, and among 315 people under the age of 25, 18 dream in black and white. Use a 0.01 significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. Complete parts (a) through (c) below. H₁: Py =P₂ Identify the test statistic. z= 6.10 (Round to two decimal places as needed.) Identify the P-value. P-value=0.000 (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? H₁: Pg #P₂ The P-value is less than the significance level of a 0.01, so dream in black and white is greater than the proportion for those under 25. reject b. Test the claim by constructing an appropriate confidence interval The 98% confidence interval is < (P₁-P₂) < (Round to three decimal places as needed.) H₁: Pg #P₂ the null hypothesis. There is sufficient evidence to support the claim that the proportion of people over 55 who
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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![A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 323 people over the age of 55, 73 dream in black and white, and among 315
people under the age of 25, 18 dream in black and white. Use a 0.01 significance level to test the claim that the proportion of people over 55 who dream in black and white
proportion for those under 25. Complete parts (a) through (c) below.
greater than the
Identify the test statistic.
z= 6.10
(Round to two decimal places as needed.)
Identify the P-value.
@
2
P-value=0.000
(Round to three decimal places as needed.)
What is the conclusion based on the hypothesis test?
View an example Get more help.
H₁: P₁ P₂
W
S
The P-value is less than the significance level of a 0.01, so
dream in black and white is greater than the proportion for those under 25.
reject
b. Test the claim by constructing an appropriate confidence interval.
The 98% confidence interval is < (P₁-P₂) <
(Round to three decimal places as needed.)
X
H
nmand
3
80
E
D
C
$
4
11
R
F
%
5
V
T
G
A
6
B
1
H₁: P₁ P₂
%
Y
stv ♫ Ⓡ S
MacBook Air
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the null hypothesis. There is sufficient evidence to support the claim that the proportion of people over 55 who
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H₁: Pg #P₂
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Clear all
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F11
{
[
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1
+
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Check answer
200m
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1
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Transcribed Image Text:A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 323 people over the age of 55, 73 dream in black and white, and among 315
people under the age of 25, 18 dream in black and white. Use a 0.01 significance level to test the claim that the proportion of people over 55 who dream in black and white
proportion for those under 25. Complete parts (a) through (c) below.
greater than the
Identify the test statistic.
z= 6.10
(Round to two decimal places as needed.)
Identify the P-value.
@
2
P-value=0.000
(Round to three decimal places as needed.)
What is the conclusion based on the hypothesis test?
View an example Get more help.
H₁: P₁ P₂
W
S
The P-value is less than the significance level of a 0.01, so
dream in black and white is greater than the proportion for those under 25.
reject
b. Test the claim by constructing an appropriate confidence interval.
The 98% confidence interval is < (P₁-P₂) <
(Round to three decimal places as needed.)
X
H
nmand
3
80
E
D
C
$
4
11
R
F
%
5
V
T
G
A
6
B
1
H₁: P₁ P₂
%
Y
stv ♫ Ⓡ S
MacBook Air
I'
H
the null hypothesis. There is sufficient evidence to support the claim that the proportion of people over 55 who
7
■
N
-
34
U
J
√ V
8
A
M
DII
FO
I
K
1, (1)
(
9
H
6
<
I
DO
F9
O
More
>
O
L
command
F10
P
H₁: Pg #P₂
L
;
Clear all
I
option
F11
{
[
?
1
+
11
Check answer
200m
43
F12
}
1
delete
1
return
shift
drew
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