This answer is NOT correct. Problem 6 ANSWERS ONLY CHECKED ANSWERS NOT RECORDED

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This answer is NOT correct. Problem 6 ANSWERS ONLY CHECKED ANSWERS NOT RECORDED (9 points) Do you believe that the average age of first time parents are getting to be exceedingly old ne study average aae of first time mother's maybe as old as 30. It is the suggests the 371 first time parents finds that the sample believed p of first time mothers who are over the age of if a survey change in the age of first time mothers will proportion of mothers over 30 is found to be less than 0.296 or more than o 37, a cul be suspected. What is the minimum number out of this 371 that would make you question that the proportion. of first time mothers who are over the age 30, is too high? Answer 137 Eli (integer) What is the maximum number out of this 371 that would make you question that the proportion, of first time mothers who are over the age of Eli (integer 30, is too low? Answer 110 Find the absolute value of the critical values in terms of the standard normal scale. Z. Enter your answer to at least three decimal places. 1.5157 What level of a was used here? Enter your answer to at least three decimal places. a 0.1295 lf the actual proportion, of first time mothers who are over the age of 30, is 0.35T6, then what is the probability that our sample, based on our beliefs, would have lead us to believe that the proportion, of frst time mothers who are over the age of 30, was too high? use at least three digits. Answer 0.2295

Explanation / Answer

a)minimum number should be >np=371*0.37=137.27~138

b) maximum number should be<np=371*0.296=109.816~109

c)std error=(p(1-p)/n)1/2 where p =0.333; n=371

=0.0245

hence zstat =(0.37-0.333)/0.0245=1.512181

d)alpha value with helpof above from z table-- =1-P(-1.512181<Z<1.512181)=1-(0.934756-0.065244)=0.130488

e)delta d=(0.3576-0.333)=0.0246 ; hence std shift =d/std error =1.005396

probability =(1-P(-1.005396<X<1.005396)=1-(0.842647-0.157353)=0.314706

f)option B as confidence interval falls into rejection region

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