Question

In: Statistics and Probability

To combat antibiotic resistance, the Quality Improvement Consortium recommends a throat swab to confirm strep throat...

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 98 children who received antibiotics for throat infections, 35 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 ≠ 0.40
H0: π ≤ 0.40 vs. H1: π > 0.40
H0: 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 H0
Reject H0
(b) Is it safe to assume normality of the sample proportion p?
No, normality is not justified.
Yes, normality is justified.

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