When Mendel conducted his famous genetics experiments with peas, one sample of offspring consisted of 705 peas with red flowers and 224 peas with white flowers. (a) What is the margin of error at 99% confidence level for estimating the percentage of peas with red flowers. (b) Find the upper limit of 99% confidence interval estimate for the percentage of peas with red flowers.
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Total number of peas = 705 (red) + 224 (white) = 929 Proportion of red-flowered peas (p) = 705 / 929 ≈ 0.758 Show more…
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One of Mendel's famous genetics experiments yielded 580 peas, with 428 of them green and 152 yellow. a. Find a $99 \%$ confidence interval estimate of the percentage of green peas. b. Based on his theory of genetics, Mendel expected that $75 \%$ of the offspring peas would be green. Given that the percentage of offspring green peas is not $75 \%$, do the results contradict Mendel's theory? Why or why not?
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