Gregor Mendel (1822–1884), an Austrian monk, is considered the father of genetics. Mendel studied the inheritance of various traits in pea plants. One such trait is whether the pea is smooth or wrinkled. Mendel predicted a ratio of 3 smooth peas for every 1 wrinkled pea. In one experiment, he observed 423 smooth and 133 wrinkled peas. Assume that the conditions for inference are met.

a. Carry out a chi-square test for goodness of fit for the genetic model that Mendel predicted.

b. In Chapter 9, Exercise 49, you tested Mendel’s prediction using a one-sample z test for a proportion. The hypotheses were H₀: p = 0.75 and H_a: p ≠ 0.75 where p = true proportion of smooth peas. Calculate the z statistic and P-value for this test. How do these values compare to the values from part (a)?

Exercise 49

A survey by the National Institutes of Health asked a random sample of young adults (aged 19 to 25 years), “Where do you live now? That is, where do you stay most often?” Here is the full two way table (omitting a few who refused to answer and one who reported being homeless):

Transcribed Image Text:

Gender Living Female Male Total location Parents' 923 986 1909 home Another 144 132 276 person's home Own place 1294 1129 2423 Group quarters 127 119 246 Total 2488 2366 4854