A sample of mothers was asked how old they were when their first child was born. The following display from a TI-84 Plus calculator presents the results of a hypothesis test regarding the proportion who had their first child before the age of 24.

a. What are the null and alternate hypotheses?

b. What is the value of the sample proportion ̂p?

c. Can H0 be rejected at the 0.05 level? State a conclusion.

d. Someone wants to use these data to test H0: p = 0.5 versus H1: p

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1-PropZTest Prop*.4 z= .7071067812 P=.4794999735 p=.36 n=75