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Statistics
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Study of pregnant women 58  women had 12 yrs of education or less and 39%of them correctly predicted the baby sex. Use 0.05 significance level to test the claim that the women had no ability to predict the sex of their baby.and the results are not significantly different from those of random guesses.   Identify the null hypotheses, alternative hypotheses, test statistic, P-value. Use P-value method, use the normal distribution as approximation of the binomial distribution

Apr 8th, 2015

given total population(n)= 58

given percentage of people correctly predicted it=39%

proportion of population predicted correctly(p)=0.39

actual probability by random guess of born of male or female(P)=0.5

Null hypothesis:

No difference between prediction and random guess

P=p

Alternate hypothesis:

difference exists between prediction and random guess

P is not equal to p

test statistic:

Z= (P-p)/((P*Q/n)^0.5)

Z=(0.5-0.39)/((0.39*0.5/58)^0.5)

=1.7175

at 0.05%level Z= 1.96

since calculated Z < Z at 0.05% level 

NULL HYPOTHESIS is satisfied

So,the results are not significantly different from those of random guesses.





Apr 8th, 2015

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