SOLUTION: When Mendel conducted his famous genetics experiment with peas, one sample of offspring consisted of 428 green peas and 152 yellow peas find a 95% confidence interval estimate of t

Click here to see ALL problems on Probability-and-statistics

Question 232356: When Mendel conducted his famous genetics experiment with peas, one sample of offspring consisted of 428 green peas and 152 yellow peas find a 95% confidence interval estimate of the percentage of yellow peas
Answer by vincysam(2) (Show Source):
You can put this solution on YOUR website!
Total Number of Peas (n) = 428+152= 580
Sample proportion of yellow peas (p) = 152/580 = 0.262
And q = 1-p = 1-0.262 = 0.738
Here the sample size (580) is greater than 30, using Central limit theorem we can expect it approximately follows normal distribution.
95% confidence interval estimate of the percentage of yellow peas = p (plus or minus)zat0.95*sqrt(p*q/n)
Standard Normal score at 5% level of significance = 1.96
95% confidence interval estimate of the percentage of yellow peas is
= 0.262(plus or minus)1.96*sqrt(0.262*0.738/580)
= 0.262(plus or minus)0.0183
= (0.2437, 0.2803)