#9 A 0.05 significance level is used for a hypothesis test of the claim that whe

Question

#9

A 0.05 significance level is used for a hypothesis test of the claim that when parents use a particular method of gender? selection, the proportion of baby girls is less than 0.5. Assume that sample data consists of 45 girls in 100 ?births, so the sample statistic of 9/20results in a z score that is 1 standard deviation below 0. Complete parts? (a) through? (f) below.

A) state null and alternative hypothesis

B) value of a (alpha)

C) What is the sampling distribution of the sample? statistic?

D) Is the test? two-tailed, left-tailed, or? right-tailed?

E) Value of T-stat?

F) Critical value(s) are?

Explanation / Answer

a)

null hypothesis: Ho: p>=0.5

alternate hypotheiss:Ha: p<0.5

b)

value of alpha=0.05

c)

sample statistic phat is normally distributed with population mean p=0.5 and

std error of proprtion=sqrt(p(1-p)/n)=0.05

d)

this is left tailed test

e)

value of T-stat =-1

f)

critical value is z=-1.645 ~ (-1.64 if require two decimals)

( please revert for any clariifcation and if any part comes wrong)

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