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 a = 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. O Ho: p=0.40 vs. HA: p=0.40 O Ho: p= 0.40 vs. Ha p0.40 (a- 2) Calculate the critical value. (Round your answer to three decimal places.) Critical value (a- 3) Calculate the test statistic. (Round your answer to two decimal places.) Test statistic (a- 4) Interpret the results. O Reject Ho O Fail to reject Ho 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 a = 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. O Ho: p=0.40 vs. HA: p=0.40 O Ho: p= 0.40 vs. Ha p0.40 (a- 2) Calculate the critical value. (Round your answer to three decimal places.) Critical value (a- 3) Calculate the test statistic. (Round your answer to two decimal places.) Test statistic (a- 4) Interpret the results. O Reject Ho O Fail to reject Ho