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 Preview

Ho: pA- pB= 0 Ha: pA- pB< 0 Type I error is rejecting Ho, when it is true in a

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