Refer to Practice Problem 1. The accompanying table lists log-likelihoods of values of p between 0.1 and 0.4, in increments of 0.02.

a. Using only the table calculations, identify the maximum likelihood estimate of p to within 0.02 units.

b. Using these same calculations, generate a likelihood-based 95% confidence interval for p.

Data from Practice Problem 1

Albino animals are well known, but what about plants? Apiron and Zohary (1961) found a recessive mutation in orchard grass (Dactylis glomerata) that causes a chlorophyll deficiency. Individuals with two deficient copies of the gene lack the green pigment entirely (and die), but heterozygous individuals, which have one normal copy of the gene and one deficient copy, appear to produce normal levels of chlorophyll. Using progeny testing, the authors found that 12 of 47 plants sampled from the Matzleva Valley in Israel were heterozygotes. Assume that the plants were randomly sampled.