This Question: 1 pt 7 of 20 (5 complete) This Test: 20 pts poss A genetic experi

Question

This Question: 1 pt 7 of 20 (5 complete) This Test: 20 pts poss A genetic experiment with peas resulted in one sample of offspring that consisted of 434 green peas and 158 yellow peas. a. Construct a 90% confidence interval to estimate of the percentage of yellow peas. b. It was expected that 25% of the offspring peas would be yellow. Given that the percentage of offspring yellow peas is not 25%, do the results contradict expectations? a. Construct a 90% confidence interval. Express the percentages in decimal form. p

Explanation / Answer

From above 90% CI =0.237<p<0.297

b)

no; the confidence interval includes 0.25 ; so the true percentage could easily equal 25%

                                                                                           x                    =   158 sample size n                    = 592 sample proportion     p x/n= 0.2669 std error       =Se            =(p*(1-p)/n) = 0.0182 for 90 % CI value of z= 1.6449 margin of error E=z*std error                            = 0.0299 lower confidence bound=sample proportion-margin of error 0.237 Upper confidence bound=sample proportion+margin of error 0.297

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