Question

Problem 1. The p-value for testing is 0.043 a) What decision is made using 0.05 significance level? b) Say you increase the significance level to 10. Would your decision change? Explain c) Say you decrease the significance level to .01. Would your decision change? Explain Problem 2. Assuming an equal chance of a new baby being a boy or a girl, what is the probability that more than 60 out of the next 100 births at a local hospital will be boys? Problem 3. A survey claims that 7 out of 10 doctors recommend aspirin for their patients with headaches. To test this claim, a random sample of 75 doctors is obtained. Of these 75 doctors, 72 indicate that they recommend aspirin. Is there any evidence to say that the proportion of doctors who recommend aspirin to their patients for their headaches is greater than 70%?

Answer 1

Problem 1:

P value = 0.043

a) alpha = 0.05

Here P value < alpha

so we reject H0

b) alpha = 0.10

Here P value < alpha

so we reject H0

c) alpha = 0.01

Here P value > alpha

so we fail to reject H0