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 a = 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 α = 0.10, what is your conclusion regarding H0?
(c) Do these results confirm the 3:1 ratio expected by the researchers?