state the null and alternative hypotheses find the centre p

state the null and alternative hypotheses, find the centre (p^), spread, and shape, and also explain what sampling distribution in this context represents using terms someone unfamiliar with stats could understan P= 0.3, 300 HIV infected pregnant women were given drug azt several times and babies given twice daily for 7 days. 75 of 300 babies tested positive for HIV at 16 weeks p^=0.25

Solution

Null hypothesis: p=0.3

Alternative hypothesis: p<0.3

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centre (p^) = n*p= 300*0.3 =90

spread =sqrt(n*p*(1-p))= sqrt(300*0.3*0.7) = 7.937254

shape = bell

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explain what sampling distribution in this context represents using terms someone unfamiliar with stats could understan

The proportion of the infected mother does not receive treatment the probability that she will transmit HIV to her infant is P is 0.3 which will approximate the normal distriubution.