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Two types of medication for hives are being tested. Themanufacturer claims that the new medication B is more effectivethan the standard medication A and undertakes a comparison todetermine if medication B produces relief for a higher proportionof adult patients within a 30-minute time window. 20 out of arandom sample of 200 adults given medication A still had hives 30minutes after taking the medication. 12 out of another randomsample of 200 adults given medication B still had hives 30 minutesafter taking the medication. The hypothesis test is to be carriedout at a 1% level of significance.
- State the null and alternative hypotheses in words and instatistical symbols.
- What statistical test is appropriate to use? Explain therationale for your answer.
- Would the test be right-tailed, left-tailed or two-tailed?Explain the rationale for your answer.
- Describe an outcome that would result in a Type I error.Explain the rationale for your answer.
- Describe an outcome that would result in a Type II error.Explain the rationale for your answer.
