Suppose that in a random selection of 100 colored candies, 20% of them are blue. The candy company claims that the percentage of blue candies is equal to 26%. Use a 0.01 significance level to test that claim. Identify the null and alternative hypotheses for this test. Choose the correct answer below. OA. H₂: p0.26 H₁: p=0.26 B. H₂: p=0.26 H₁: p0.26 OC. Ho: p=0.26 H₁:p>0.26 O D. Ho: p=0.26 H₁: P<0.26 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is (Round to two decimal places as needed.)
Suppose that in a random selection of 100 colored candies, 20% of them are blue. The candy company claims that the percentage of blue candies is equal to 26%. Use a 0.01 significance level to test that claim. Identify the null and alternative hypotheses for this test. Choose the correct answer below. OA. H₂: p0.26 H₁: p=0.26 B. H₂: p=0.26 H₁: p0.26 OC. Ho: p=0.26 H₁:p>0.26 O D. Ho: p=0.26 H₁: P<0.26 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is (Round to two decimal places as needed.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![**Transcription for Educational Website**
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**Hypothesis Testing: Colored Candies Example**
Suppose that in a random selection of 100 colored candies, 20% of them are blue. The candy company claims that the percentage of blue candies is equal to 26%. Use a 0.01 significance level to test that claim.
**Identify the null and alternative hypotheses for this test. Choose the correct answer below.**
- **A.** \( H_0: p \neq 0.26 \)
\( H_1: p = 0.26 \)
- **B.** \( H_0: p = 0.26 \)
\( H_1: p \neq 0.26 \) ✅
- **C.** \( H_0: p = 0.26 \)
\( H_1: p > 0.26 \)
- **D.** \( H_0: p = 0.26 \)
\( H_1: p < 0.26 \)
**Identify the test statistic for this hypothesis test.**
The test statistic for this hypothesis test is: \[ \text{□□□□} \]
*(Round to two decimal places as needed.)*
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This educational snippet illustrates how to set up a hypothesis test involving proportions and provides options for null and alternative hypotheses. The correct hypothesis pair marked (B) suggests we'll test whether the true proportion of blue candies differs from the company's claim of 26%. The task also includes calculating a test statistic, which requires more specific computation details not provided in this text.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe4171a5d-8df8-40c8-aa01-a58544909f39%2Fb5e68b9d-87cd-4fca-ad43-7f6833e90475%2Fo4ga41_processed.png&w=3840&q=75)
Transcribed Image Text:**Transcription for Educational Website**
---
**Hypothesis Testing: Colored Candies Example**
Suppose that in a random selection of 100 colored candies, 20% of them are blue. The candy company claims that the percentage of blue candies is equal to 26%. Use a 0.01 significance level to test that claim.
**Identify the null and alternative hypotheses for this test. Choose the correct answer below.**
- **A.** \( H_0: p \neq 0.26 \)
\( H_1: p = 0.26 \)
- **B.** \( H_0: p = 0.26 \)
\( H_1: p \neq 0.26 \) ✅
- **C.** \( H_0: p = 0.26 \)
\( H_1: p > 0.26 \)
- **D.** \( H_0: p = 0.26 \)
\( H_1: p < 0.26 \)
**Identify the test statistic for this hypothesis test.**
The test statistic for this hypothesis test is: \[ \text{□□□□} \]
*(Round to two decimal places as needed.)*
---
This educational snippet illustrates how to set up a hypothesis test involving proportions and provides options for null and alternative hypotheses. The correct hypothesis pair marked (B) suggests we'll test whether the true proportion of blue candies differs from the company's claim of 26%. The task also includes calculating a test statistic, which requires more specific computation details not provided in this text.
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