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A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 309 people over the age of 55, 60 dream in black and white, and among 305 people under the age of 25, 13 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. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of people over the age of 55 and the second sample to be the sample of people under the age of 25. What are the null and alternative hypotheses for the hypothesis test? OA. Ho: P₁ P2 H₁: P₁ P2 O D. Ho: P₁ H₁: P₁ P2 P₂ OB. Ho: P₁ SP2 H₁: P₁ P2 O E. Ho: P₁ = P2 H₁: P₁ P2 OC. Ho: P₁ P2 H₁: P₁ P2 OF. Ho: P₁ = P2 H₁: P₁ P2

A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 309 people over the age of 55, 60 dream in black and white, and among 305 people under the age of 25, 13 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. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of people over the age of 55 and the second sample to be the sample of people under the age of 25. What are the null and alternative hypotheses for the hypothesis test? OA. Ho: P₁ P2 H₁: P₁ P2 O D. Ho: P₁ H₁: P₁ P2 P₂ OB. Ho: P₁ SP2 H₁: P₁ P2 O E. Ho: P₁ = P2 H₁: P₁ P2 OC. Ho: P₁ P2 H₁: P₁ P2 OF. Ho: P₁ = P2 H₁: P₁ P2

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 15PPS
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### Study on Dreaming in Black and White **Background:** A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 309 people over the age of 55, 60 dream in black and white, and among 305 people under the age of 25, 13 dream in black and white. The objective is 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. A significance level of 0.05 is used for the hypothesis test. --- #### Hypothesis Testing: **Objective:** Test the claim using a hypothesis test. **Procedure:** Consider the first sample to be the sample of people over the age of 55 and the second sample to be the sample of people under the age of 25. Identify the null and alternative hypotheses for the hypothesis test. **Choices for Hypotheses:** 1. **Option A:** - Null Hypothesis (H₀): \( p_1 \ne p_2 \) - Alternative Hypothesis (H₁): \( p_1 = p_2 \) 2. **Option B:** - Null Hypothesis (H₀): \( p_1 \le p_2 \) - Alternative Hypothesis (H₁): \( p_1 \ne p_2 \) 3. **Option C:** - Null Hypothesis (H₀): \( p_1 = p_2 \) - Alternative Hypothesis (H₁): \( p_1 < p_2 \) 4. **Option D:** - Null Hypothesis (H₀): \( p_1 \ge p_2 \) - Alternative Hypothesis (H₁): \( p_1 \ne p_2 \) 5. **Option E:** - Null Hypothesis (H₀): \( p_1 = p_2 \) - Alternative Hypothesis (H₁): \( p_1 > p_2 \) 6. **Option F:** - Null Hypothesis (H₀): \( p_1 = p_2 \) - Alternative Hypothesis (H₁): \( p_1 \ne p_2 \) --- **Instructions for Students:** Analyze the claim and select the appropriate null and alternative hypotheses
Transcribed Image Text:### Study on Dreaming in Black and White **Background:** A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 309 people over the age of 55, 60 dream in black and white, and among 305 people under the age of 25, 13 dream in black and white. The objective is 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. A significance level of 0.05 is used for the hypothesis test. --- #### Hypothesis Testing: **Objective:** Test the claim using a hypothesis test. **Procedure:** Consider the first sample to be the sample of people over the age of 55 and the second sample to be the sample of people under the age of 25. Identify the null and alternative hypotheses for the hypothesis test. **Choices for Hypotheses:** 1. **Option A:** - Null Hypothesis (H₀): \( p_1 \ne p_2 \) - Alternative Hypothesis (H₁): \( p_1 = p_2 \) 2. **Option B:** - Null Hypothesis (H₀): \( p_1 \le p_2 \) - Alternative Hypothesis (H₁): \( p_1 \ne p_2 \) 3. **Option C:** - Null Hypothesis (H₀): \( p_1 = p_2 \) - Alternative Hypothesis (H₁): \( p_1 < p_2 \) 4. **Option D:** - Null Hypothesis (H₀): \( p_1 \ge p_2 \) - Alternative Hypothesis (H₁): \( p_1 \ne p_2 \) 5. **Option E:** - Null Hypothesis (H₀): \( p_1 = p_2 \) - Alternative Hypothesis (H₁): \( p_1 > p_2 \) 6. **Option F:** - Null Hypothesis (H₀): \( p_1 = p_2 \) - Alternative Hypothesis (H₁): \( p_1 \ne p_2 \) --- **Instructions for Students:** Analyze the claim and select the appropriate null and alternative hypotheses
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