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

Question

7.5

A genetic experiment with peas resulted in one sample of offspring that consisted of 448 green peas and 167 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. (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 sftware output for this problem is:

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

90% confidence interval results:

Hence,

a) 90% confidence interval is:

(0.242, 0.301)

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

Proportion Count Total Sample Prop. Std. Err. L. Limit U. Limit p 167 615 0.27154472 0.017934306 0.24204541 0.30104402

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