In: Statistics and Probability
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.
a. In a random sample of 60 children who received antibiotics for throat infections, 18 did not have a throat swab. At α = .05, is this a statistically significant reduction over last year's national rate of 40 percent? Follow and show the 7 steps for hypothesis testing.
b. Determine the p-value and interpret its meaning.
c. Is it safe to assume normality of the sample proportion p? Show.
d. Verify your results for parts a and b using Minitab.
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The results of the parts (a) and (b) matches with the result of the part (c).