A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 297 people over the age of 55, 80 dream in black and white, and among 311 people under the age of 25, 14 dream in black and white. Use a 0.05 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. OA Ho: P₁ SP₂ H₁: P₁ P₂ OD. Ho: Py ZP₂ H₁: P₁ P₂ Identify the test statistic. z = 7.65 (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? B. Hy: Py P₂ Hy: Dy > P₂ OE H₂PyP₂ Hy: Dy

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 3E
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K
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A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 297 people over the age of 55, 80 dream in black and white, and among 311
people under the age of 25, 14 dream in black and white. Use a 0.05 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.
дв
OA. Ho: Pq SP₂
H₁: P₁ P₂
X
and
View an example
OD. Ho: Pg 2 P₂
H₁: Pg #P₂
Identify the test statistic.
2= 7.65
(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?
The 90% confidence interval is < (P₁-P₂) <
(Round to three decimal places as needed.)
reject
The P-value is less than the significance level of a=0.05, so
dream in black and white is greater than the proportion for those under 25.
b. Test the claim by constructing an appropriate confidence intervall
#
3
E
Get more help
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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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Transcribed Image Text:K @ W S A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 297 people over the age of 55, 80 dream in black and white, and among 311 people under the age of 25, 14 dream in black and white. Use a 0.05 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. дв OA. Ho: Pq SP₂ H₁: P₁ P₂ X and View an example OD. Ho: Pg 2 P₂ H₁: Pg #P₂ Identify the test statistic. 2= 7.65 (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? The 90% confidence interval is < (P₁-P₂) < (Round to three decimal places as needed.) reject The P-value is less than the significance level of a=0.05, so dream in black and white is greater than the proportion for those under 25. b. Test the claim by constructing an appropriate confidence intervall # 3 E Get more help 80 D C $ 9 4 a R F 96 % 5 V T G OE H₂: Py = P₂ Hy: Py <P₂ 1 6 B. Ho: P1 P₂ Hy: Py > P₂ B 4 Y MacBook Air H r the null hypothesis. There is sufficient evidence to support the claim that the proportion of people over 55 who & 7 1 34 U N √ 8 J WA I 1 (1) More M ( 9 K OC. Hg: Py #P₂ H₁: Py = P₂ ES OF H₂: Py =P₂ Hy: Py #P₂ O < I дв O L Clear all P > command x { Check answer ? option 11 Question Viewer 1 I 1 delet
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