A genetic experiment with peas resulted in one sample of offspring that consiste

Question

A genetic experiment with peas resulted in one sample of offspring that consisted of

442442

green peas and

154154

yellow peas.a. Construct a

9595%

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

9595%

confidence interval. Express the percentages in decimal form.

nothingless than<pless than<nothing

(Round to three decimal places as needed.)

b. Given that the percentage of offspring yellow peas is not 25%, do the results contradict expectations?

Yes, the confidence interval does not include 0.25, so the true percentage could not equal 25%

No, the confidence interval includes 0.25, so the true percentage could easily equal 25%

Explanation / Answer

The statistical software output for this problem is:

One sample proportion summary confidence interval:
p : Proportion of successes
Method: Standard-Wald

95% confidence interval results:

Hence,

a) 95% confidence interval will be:

0.223 < p < 0.294

b) No, the confidence interval includes 0.25, so the true percentage could easily equal 25%

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