Question 20 Forty-six percent of a population possesses a particular characteris

Question

Question 20 Forty-six percent of a population possesses a particular characteristic. Random samples are taken from this population. Determine the probability of each of the following occurrences. (Round all z values to 2 decimal places. Round all intermediate calculations and answers to 4 decimal places.) a. The sample size is 60 and the sample proportion is between .41 and.53. b. The sample size is 458 and the sample proportion is less than 40 c. The sample size is 1350 and the sample proportion is greater than.49

Explanation / Answer

a)

here std error =sqrt(p*(1-p)/n)=0.0643

fpr z score =(phat-p)/std error

henc P(0.41<P<0.53)=P(-0.78<Z<1.09)=0.8621-0.2177=0.6444 ( please try 0.6431 if this comes wrong)

b)

std error =0.0235

P(P<0.40)=P(Z<-2.55)=0.0054 ( please try 0.0053 if this comes wrong)

c)

std error=0.0136

P(P>0.49)=P(Z>2.21)=0.0136 (please try 0.0135 if this comes wrong)

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