Mendel took the 315 seeds from the round-yellow peas he obtained from the experiment given in Exercise 8.3.16 and planted them. Fourteen of the plants did not grow or did not produce seeds. Of the remaining 301 plants, he grew pea plants that had peas with the distribution shown in the table for Exercise 8.3.17. (Note that most plants had peas with different characteristics. For example, 65 plants had some round-yellow and some round-green peas.) Do we have convincing evidence that the proportions of pea types are not distributed in this 1:2:2:4 ratio? Test as follows: 

a. State the hypotheses in words or in symbols. 

b. Calculate the test statistic, and p-value.

c. State your conclusion in the context of the research question.

Transcribed Image Text:

Observed count Round-yellow 38 Category Round-yellow, round-green 65 Round-yellow, wrinkled- yellow 60 Round-yellow, round-green, wrinkled-yellow, wrinkled-green 138 Total 301