o 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 79 children under the age of 5 who received antibiotics for throat infections and found that 24 did not have a throat swab. At α = .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. H0: π ≥ .40 vs. H1: π < .40 H0: π ≤ .40 vs. H1: π > .40 H0: π = .40 vs. H1: π ≠ .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. Reject H0 Fail to reject H0
o 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 79 children under the age of 5 who received antibiotics for throat infections and found that 24 did not have a throat swab. At α = .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.
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H0: π ≥ .40 vs. H1: π < .40
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H0: π ≤ .40 vs. H1: π > .40
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H0: π = .40 vs. H1: π ≠ .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.
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Reject H0
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Fail to reject H0
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