Reference no: EM131554929

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 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.   H0: π ≤ 0.40 vs. H1: π > 0.40H0: π = 0.40 vs. H1: π ≠ 0.40H0: π ≥ 0.40 vs. H1: π < 0.40 

(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. Fail to reject H0Reject H0 

(b) Is it safe to assume normality of the sample proportion p?   No, normality is not justified.Yes, normality is justified.