To combat antibiotic resistance, the Quality Improvement Consortium recommends a

Question

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. In a random sample of 97 children who received antibiotics for throat infections, 29 did not have a throat swab. At = 0.05, is this a statistically significant reduction over last year’s national rate of 40 percent?

Calculate the critical value. (A negative value should be indicated by a minus sign. Round your answer to 3 decimal places.)

Calculate the test statistic. (A negative value should be indicated by a minus sign. Round your answer to 2 decimal places.)

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. In a random sample of 97 children who received antibiotics for throat infections, 29 did not have a throat swab. At = 0.05, is this a statistically significant reduction over last year’s national rate of 40 percent?

Explanation / Answer

H0: 0.40 vs. H1: < 0.40

a-2) critical value =-1.645

a-3)here p=0.4 ; n=97

and std error =(p(1-p)/n)1/2 =0.0497

phat=29/97 =0.299

hence test stat =(phat-p)/std error =-2.03

a-4) Reject H0

a-5)Yes, normality is justified.

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