Question

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.

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)

Answer 1

Ho:   pA - pB =   0
Ha:   pA - pB <   0

Type I error is rejecting Ho, when it is true in actual

so, Type I error would be

concluding that new medication B is more effective than the standard medication A , when in actual , it is not more effective than that of A

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type II error is fail to reject false null hypothesis

so,

type II error would be

concluding that   new medication B is not more effective than the standard medication A , when in actual , it is more effective than that of A