COLNg YPOTneses about frequencies 57 7.3 In a genetic experiment involving flowe

Question

COLNg YPOTneses about frequencies 57 7.3 In a genetic experiment involving flower color in phlox, a ratio of 3 blue-flowered plants to white flowered plant was expected. The observed results were 35 blue-flowered plants and 14 white-flowered plants. Does the observed ratio differ significantly from the expected ratio? 7.4 Suppose that in exercise 7.3 a ratio of 61 blue flowered plants to 22 white-flowered plants was observed. Does the observed ratio differ significantly from the expected ratio? 7.5 In 102 tosses of 4 coins, the following results were obtained. (Note that you'll need to use the Binomial distribution [section 5.4] to determine expected frequencies.) Heads Observed Frequency Tails rS 23 27

Explanation / Answer

7.3)

H0: There is no significant difference between the observed and expected value
H1: There is significant difference between the observed and expected value

chi-square observed = 0.0068

df = 1

chi-square critical = 0 to 5.02 (considering 5% of significance level)

p-value = 0.0657

Fail to reject null hypothesis. This means the observed and expected proportion can be same.

7.4)

Fail to reject null hypothesis.

Ei Oi (Ei-Oi)^2/Ei 0.75 0.7143 0.0017 0.25 0.2857 0.0051 chi-square 0.0068

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