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Sansa crossed several randomly-chosen pink tree peonies (Paeonia suffruticosa) t

ID: 3067061 • Letter: S

Question

Sansa crossed several randomly-chosen pink tree peonies (Paeonia suffruticosa) to test a genetic model of inheritance. She expected to see offspring colors in the ratio of 8:3:1 for red:pink:white, Below are the observed color proportions of the sample of plants in her study: Observed Proportions of Progenv Colors White 0.074 Red 0.704 in 0.222 a. Which statistical test is appropriate to answer Sansa's question? (0.5pt) b. Write the appropriate null and alternative hypotheses. (0.5pt) If she wanted to conduct the analysis from part (a), what other information would she need? (0.5pt) c.

Explanation / Answer

a) Pearson’s chi square test is appropriate to compare multiple proportion

b) the null hypothesis

H0 : the offspring colors are in the ratio of 8:3:1 for red:pink : white

The alternative hypothesis

Ha : the offspring colors are not in the expected ratio

(c) we need the sample sizes to conduct the chi square test

If we get the sample sizes we can get the expected and observed frequency and calculate chi square statistic

Chi square = sum[ (Oi- Ei)^2 / Ei]

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