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. 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 59 children under the age of 5 who received antibiotics for throat infections and found that 22 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) Calculate the critical value

(b) Calculate the test statistic