In Lesson Ten you’ve worked with techniques for conductinghypothesis tests for two means or two proportions. Work through thefollowing exercise.

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. (3 points)

What statistical test is appropriate to use? Explain therationale 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. Explainthe 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)