To combat antibiotic resistance, the Quality Improvement Consortium recommends a throat swab to confirm strep throat before a physician prescribes antibiotics to children under age 5. Nationally, 40 percent of children under 5 who received antibiotics did not have a throat swab. The Colorado Department of Health took a random sample of 76 children under the age of 5 who received antibiotics for throat infections and found that 24 did not have a throat swab. At a = .05, is this a statistically significant reduction over last year's national rate of 40 percent? (a-1) Choose the correct null and alternative hypotheses. O Ho: T.40 vs. H: 17 < .40 O Ho: TTS.40 vs. H: T> .40 O Ho: T = .40 vs. H: 1 ± .40 (a-2) Calculate the critical value. (A negative value should be indicated by a minus sign. Round your answer to 3 decimal places.) Critical value (a-3) Calculate the test statistic. (A negative value should be indicated by a minus sign. Round your answer to 2 decimal places.) Test statistic (a-4) Interpret the results. O Fail to reject Ho O Reject Ho
To combat antibiotic resistance, the Quality Improvement Consortium recommends a throat swab to confirm strep throat before a physician prescribes antibiotics to children under age 5. Nationally, 40 percent of children under 5 who received antibiotics did not have a throat swab. The Colorado Department of Health took a random sample of 76 children under the age of 5 who received antibiotics for throat infections and found that 24 did not have a throat swab. At a = .05, is this a statistically significant reduction over last year's national rate of 40 percent? (a-1) Choose the correct null and alternative hypotheses. O Ho: T.40 vs. H: 17 < .40 O Ho: TTS.40 vs. H: T> .40 O Ho: T = .40 vs. H: 1 ± .40 (a-2) Calculate the critical value. (A negative value should be indicated by a minus sign. Round your answer to 3 decimal places.) Critical value (a-3) Calculate the test statistic. (A negative value should be indicated by a minus sign. Round your answer to 2 decimal places.) Test statistic (a-4) Interpret the results. O Fail to reject Ho O Reject Ho
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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![To combat antibiotic resistance, the Quality Improvement Consortium recommends a throat swab to confirm strep throat before a physician prescribes antibiotics to children under age 5. Nationally, 40 percent of children under 5 who received antibiotics did not have a throat swab. The Colorado Department of Health took a random sample of 76 children under the age of 5 who received antibiotics for throat infections and found that 24 did not have a throat swab. At α = 0.05, is this a statistically significant reduction over last year’s national rate of 40 percent?
**(a-1) Choose the correct null and alternative hypotheses.**
- \( H_0: \pi \geq .40 \) vs. \( H_1: \pi < .40 \)
- \( H_0: \pi \leq .40 \) vs. \( H_1: \pi > .40 \)
- \( H_0: \pi = .40 \) vs. \( H_1: \pi \neq .40 \)
**(a-2) Calculate the critical value. (A negative value should be indicated by a minus sign. Round your answer to 3 decimal places.)**
Critical value: [Input]
**(a-3) Calculate the test statistic. (A negative value should be indicated by a minus sign. Round your answer to 2 decimal places.)**
Test statistic: [Input]
**(a-4) Interpret the results.**
- Fail to reject \( H_0 \)
- Reject \( H_0 \)
Please fill in the blanks with the appropriate calculations and interpretations based on your analysis.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2fda3cc1-277f-4107-b275-13a7a72096f2%2F605ee9d3-3015-431f-92c6-28a30544cf73%2Faksb3l_processed.png&w=3840&q=75)
Transcribed Image Text:To combat antibiotic resistance, the Quality Improvement Consortium recommends a throat swab to confirm strep throat before a physician prescribes antibiotics to children under age 5. Nationally, 40 percent of children under 5 who received antibiotics did not have a throat swab. The Colorado Department of Health took a random sample of 76 children under the age of 5 who received antibiotics for throat infections and found that 24 did not have a throat swab. At α = 0.05, is this a statistically significant reduction over last year’s national rate of 40 percent?
**(a-1) Choose the correct null and alternative hypotheses.**
- \( H_0: \pi \geq .40 \) vs. \( H_1: \pi < .40 \)
- \( H_0: \pi \leq .40 \) vs. \( H_1: \pi > .40 \)
- \( H_0: \pi = .40 \) vs. \( H_1: \pi \neq .40 \)
**(a-2) Calculate the critical value. (A negative value should be indicated by a minus sign. Round your answer to 3 decimal places.)**
Critical value: [Input]
**(a-3) Calculate the test statistic. (A negative value should be indicated by a minus sign. Round your answer to 2 decimal places.)**
Test statistic: [Input]
**(a-4) Interpret the results.**
- Fail to reject \( H_0 \)
- Reject \( H_0 \)
Please fill in the blanks with the appropriate calculations and interpretations based on your analysis.
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