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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 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

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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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 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: TT2.40 vs. H: TT < 40 O Ho: TS.40 vs. H: T> .40 O Ho: TT = 40 vs. H: TT+ 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
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 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: TT2.40 vs. H: TT < 40 O Ho: TS.40 vs. H: T> .40 O Ho: TT = 40 vs. H: TT+ 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
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