Need help with 7.3 Testing Hypotheses about Frequencies 57 7.3 In a genetic expe

Question

Need help with 7.3 Testing Hypotheses about Frequencies 57 7.3 In a genetic experiment involving flower color in phlox, a ratio of 3 blue-flowered plants to 1 white- flowered plant was expected. The observed results were 35 blue-flowered plants and 14 white-flowered plants. Does the observed rati differ significantly from the expected ratio? uppose that in exercise 7.3 a ratio of 61 blu flowered plants to 22 white-flowered pla was observed. Does the observed ratio di significantly from the expected ratio? n 102 tosses of 4 coins, the following re ere obtained. (Note that you'll need to us inomial distribution [section 5.4] to dete

Explanation / Answer

there are total 49 flowers ( 35 blue + 14 white )

expected ratio of blue and white flowers is 3:1,

so expected number of blue flower=(3/4)*49=36.75 amd

expected number of white flower=(1/4)*49=12.25

here we use  chi-square test with

null hypothesis H0: observed and expected frequency are same

alternatye hypothesis H1: observed and expected frequency are different

and chi-square=sum((O-E)2/E)=0.33 with (k-1)=1 df and

critical chi-square(0.05,1)=3.84 is more than calculated chi-square=0.33, so we fail to reject H0 and conclude that observed and expected ratio or frequency does not differ significantly.

Observed (O) Expected(E) (O-E) (O-E)2/E Blue 35 36.75 -1.75 0.08 White 14 12.25 1.75 0.25 sum 49 49 0 0.33

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