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Two types of medication for hives are being tested.
Two types of medication for hives are being tested. The manufacturer claims that the new medication B is more effective than the standard medication A and undertakes a comparison to determine if medication B produces relief for a higher proportion of adult patients within a 30-minute time window. 20 out of a random sample of 200 adults given medication A still had hives 30 minutes after taking the medication. 12 out of another random sample of 200 adults given medication B still had hives 30 minutes after taking the medication. The hypothesis test is to be carried out at a 1% level of significance.
- State the null and alternative hypotheses in words and in statistical symbols. (3 points)
- What statistical test is appropriate to use? Explain the rationale for your answer. (3 points)
- Would the test be right-tailed, left-tailed or two-tailed? Explain the rationale for your answer. (3 points)
- Describe an outcome that would result in a Type I error. Explain the rationale for your answer. (3 points)
- Describe an outcome that would result in a Type II error. Explain the rationale for your answer. (3 points)
*I believe this is a right tailed test but I would like to confirm if it is or not and I am assuming that the z statistic test is appropriate to use since we are testing the difference between two different proportions.
