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 76 children under the age of 5 who received antibiotics for throat infections and found that 24 did not have a throat swab. At = .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. multiple choice 1

• H₀: .40 vs. H₁: < .40
• H₀: .40 vs. H₁: > .40
• H₀: = .40 vs. H₁: .40

(a-2) Calculate the critical value. (A negative value should be indicated by a minus sign. Round your answer to 3 decimal places.) (a-3) Calculate the test statistic. (A negative value should be indicated by a minus sign. Round your answer to 2 decimal places.) (a-4) Interpret the results. multiple choice 2

• Fail to reject H₀
• Reject H₀

(b) Is it safe to assume normality of the sample proportion p? multiple choice 3

• Yes, normality is justified.
• No, normality is not justified.