Two human traits controlled by a single gene are the ability to roll one’s tongue and whether one’s ear lobes are free or attached to the neck. Genetic theory says that people will have neither one, one, or both of these traits in the ratio 1:3:3:9 (1/16—attached, noncurling; 3/16—attached, curling; 3/16—free, noncurling; 9/16— free, curling). A biology class of 122 students collected these data: ear lobes, tongue observed count attached, noncurling 10 attached, curling 22 free, noncurling 31 free, curling 59 Are

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 14PPS
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Two human traits controlled by a single gene are the ability to roll one’s tongue and whether one’s ear lobes are free or attached to the neck. Genetic theory says that people will have neither one, one, or both of these traits in the ratio 1:3:3:9 (1/16—attached, noncurling; 3/16—attached, curling; 3/16—free, noncurling; 9/16— free, curling). A biology class of 122 students collected these data: ear lobes, tongue observed count attached, noncurling 10 attached, curling 22 free, noncurling 31 free, curling 59 Are these data consistent with the genetic theory? State appropriate hypotheses and identify the appropriate test. Assuming these data are independent, how do you know if this sample is big enough? Calculate the test statistic and p-value. Write a meaningful conclusion.

 

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