In a study of resistance to a certain soybean virus, biologists cross-fertilized

Question

In a study of resistance to a certain soybean virus, biologists cross-fertilized two soybean cultivars. They expected to get a 3:1 ratio of resistant to susceptible plants. The observed data were 58 resistant and 26 susceptible plants.^50 Are these data significantly inconsistent with the expected 3:1 ratio? Consider a test, using alpha = 0.10 and a nondirectional alternative. (a) What are the expected counts for the two categories under the null hypothesis? (b) The P-value for the chi-square test (with a nondirectional alternative) is 0.21. If alpha = 0.10, what is your conclusion regarding H_0? (c) Do these results confirm the 3:1 ratio expected by the researchers?

Explanation / Answer

from above

b) p vlaue for chi stat =1.587 ; =0.2077

as p value is greater then 0.1 level; we can not reject null hypothesis.

c) we fail to reject that result does confirm from above experiment.

observed Expected Chi square P=1/7 O E=total*p =(O-E)^2/E resistant 0.750 58.00 63.00 0.40 susceptible 0.250 26.00 21.00 1.19 84 84 1.587

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