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In: Statistics and Probability

. If two heterozygous parents (i.e., both Aa) mate, they produce offspring in the expected Mendelian...

. If two heterozygous parents (i.e., both Aa) mate, they produce offspring in the expected Mendelian proportions (i.e., 1/4AA, 1/2Aa, 1/4aa). We observe a big Drosophila family of 40 offspring of which 7 are aa. i) Construct   95% confidence interval on the observed proportion of aa offspring (7/40). What does this confidence interval tell us about our null hypothesis? Hint: our null hypothesis is that Mendelian laws have not been violated. ii)   Are   7   or   fewer   offspring statistically consistent   with   Mendelian expectations?    Hint: figure out the probability of observing 7 or fewer offspring in such a family if Mendelian laws have not been violated. iii) How few offspring of type aa would we have to observe in order to be suspicious that Mendelian proportions are being violated? Is your answer a test of a one-tailed hypothesis or a two-tailed hypothesis?

All work needs to be done in Rstudio.

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Expert Solution

We have used prop.test for obtaining the solution.

orchestra answered 2 years ago
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