In a randomized controlled trial, insecticide-treated bednets were tested as a way to reduce malaria. Among 350 infants using bednets, 16 developed malaria. Among 265 infants not using bednets, 26 developed malaria. Use a 0.05 significance level to test the claim that the incidence of malaria is lower for infants using bednets. a. Test the claim using a hypothesis test. b. Test the claim by constructing an appropriate confidence interval. c. Based on the results, do the bednets appear to be effective? a. What are the null and alternative hypotheses? Let the infants using bednets be sample 1 and let the infants not using bednets be sample 2. Choose the correct hypotheses below. OC. Ho: P, #P2 H;: P1 =P2 OF. Ho: P1 =P2 H: P1 > P2 O A. Ho: P1 SP2 H;: P1 > P2 O B. Ho: P1 2 P2 H;: P1
In a randomized controlled trial, insecticide-treated bednets were tested as a way to reduce malaria. Among 350 infants using bednets, 16 developed malaria. Among 265 infants not using bednets, 26 developed malaria. Use a 0.05 significance level to test the claim that the incidence of malaria is lower for infants using bednets. a. Test the claim using a hypothesis test. b. Test the claim by constructing an appropriate confidence interval. c. Based on the results, do the bednets appear to be effective? a. What are the null and alternative hypotheses? Let the infants using bednets be sample 1 and let the infants not using bednets be sample 2. Choose the correct hypotheses below. OC. Ho: P, #P2 H;: P1 =P2 OF. Ho: P1 =P2 H: P1 > P2 O A. Ho: P1 SP2 H;: P1 > P2 O B. Ho: P1 2 P2 H;: P1
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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![b. Let the infants using bednets be sample 1 and let the infants not using bednets be sample 2. Use a 0.05 significance level to construct a confidence interval.
\[ \Box < (p_1 - p_2) < \Box \]
(Round to three decimal places as needed.)
What is the conclusion for the confidence interval?
Since the confidence interval \(\Box\) zero, there \(\Box\) to be a difference between the proportions.
c. Based on the results, do the bednets appear to be effective?
According to the hypothesis test, there is \(\Box\) evidence to support the claim that the incidence of malaria is lower for infants using bednets, so the bednets \(\Box\) to be effective. According to the confidence interval, there is \(\Box\) evidence to support the claim that the incidence of malaria is lower for infants using bednets, so the bednets \(\Box\) to be effective.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffc66e7f3-3076-4905-b93a-694735f92229%2Fd830ec13-e26c-43ec-92b3-9642926c4fbd%2F9t3rupr_processed.png&w=3840&q=75)
Transcribed Image Text:b. Let the infants using bednets be sample 1 and let the infants not using bednets be sample 2. Use a 0.05 significance level to construct a confidence interval.
\[ \Box < (p_1 - p_2) < \Box \]
(Round to three decimal places as needed.)
What is the conclusion for the confidence interval?
Since the confidence interval \(\Box\) zero, there \(\Box\) to be a difference between the proportions.
c. Based on the results, do the bednets appear to be effective?
According to the hypothesis test, there is \(\Box\) evidence to support the claim that the incidence of malaria is lower for infants using bednets, so the bednets \(\Box\) to be effective. According to the confidence interval, there is \(\Box\) evidence to support the claim that the incidence of malaria is lower for infants using bednets, so the bednets \(\Box\) to be effective.
![**Educational Website Content:**
In a randomized controlled trial, insecticide-treated bednets were tested as a way to reduce malaria. Among 350 infants using bednets, 16 developed malaria. Among 265 infants not using bednets, 26 developed malaria. A 0.05 significance level is used to test the claim that the incidence of malaria is lower for infants using bednets.
**Tasks:**
a. Test the claim using a hypothesis test.
b. Test the claim by constructing an appropriate confidence interval.
c. Based on the results, do the bednets appear to be effective?
---
**a. What are the null and alternative hypotheses?**
Let the infants using bednets be sample 1 and let the infants not using bednets be sample 2. Choose the correct hypotheses below.
- A. \(H_0: p_1 \leq p_2\), \(H_1: p_1 > p_2\)
- B. \(H_0: p_1 \geq p_2\), \(H_1: p_1 < p_2\)
- C. \(H_0: p_1 \neq p_2\), \(H_1: p_1 = p_2\)
- D. \(H_0: p_1 = p_2\), \(H_1: p_1 < p_2\)
- E. \(H_0: p_1 = p_2\), \(H_1: p_1 \neq p_2\)
- F. \(H_0: p_1 = p_2\), \(H_1: p_1 > p_2\)
**Identify the test statistic.**
(Round to two decimal places as needed.)
**Identify the P-value.**
(Round to three decimal places as needed.)
---
**Conclusion for Hypothesis Test:**
Since the P-value is [Select: greater than, less than or equal to] the significance level \(\alpha\), [Select: reject, do not reject] the null hypothesis.
---
**b. Confidence Interval Construction:**
Let the infants using bednets be sample 1 and let the infants not using bednets be sample 2. Use a 0.05 significance level to construct a confidence interval.
\( (p_1 - p_2) <\)
(Round to three decimal places as](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffc66e7f3-3076-4905-b93a-694735f92229%2Fd830ec13-e26c-43ec-92b3-9642926c4fbd%2F5pm0z9o_processed.png&w=3840&q=75)
Transcribed Image Text:**Educational Website Content:**
In a randomized controlled trial, insecticide-treated bednets were tested as a way to reduce malaria. Among 350 infants using bednets, 16 developed malaria. Among 265 infants not using bednets, 26 developed malaria. A 0.05 significance level is used to test the claim that the incidence of malaria is lower for infants using bednets.
**Tasks:**
a. Test the claim using a hypothesis test.
b. Test the claim by constructing an appropriate confidence interval.
c. Based on the results, do the bednets appear to be effective?
---
**a. What are the null and alternative hypotheses?**
Let the infants using bednets be sample 1 and let the infants not using bednets be sample 2. Choose the correct hypotheses below.
- A. \(H_0: p_1 \leq p_2\), \(H_1: p_1 > p_2\)
- B. \(H_0: p_1 \geq p_2\), \(H_1: p_1 < p_2\)
- C. \(H_0: p_1 \neq p_2\), \(H_1: p_1 = p_2\)
- D. \(H_0: p_1 = p_2\), \(H_1: p_1 < p_2\)
- E. \(H_0: p_1 = p_2\), \(H_1: p_1 \neq p_2\)
- F. \(H_0: p_1 = p_2\), \(H_1: p_1 > p_2\)
**Identify the test statistic.**
(Round to two decimal places as needed.)
**Identify the P-value.**
(Round to three decimal places as needed.)
---
**Conclusion for Hypothesis Test:**
Since the P-value is [Select: greater than, less than or equal to] the significance level \(\alpha\), [Select: reject, do not reject] the null hypothesis.
---
**b. Confidence Interval Construction:**
Let the infants using bednets be sample 1 and let the infants not using bednets be sample 2. Use a 0.05 significance level to construct a confidence interval.
\( (p_1 - p_2) <\)
(Round to three decimal places as
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