Data from adoption studies on handedness indicate that the effects of shared biological heritage are more powerful determinants of hand preference than sociocultural factors. Biological offspring were found to show nonrandom distributions of right and non-right handedness as a function of parental handedness. In contrast, the handedness distribution of adopted children as a function of parental handedness was essentially random. The following table gives the handedness of biological offspring as a function of parental handedness. Biological Offspring Parental Handedness Right-Handed Left-Handed (father mother) Right Right 297 37 Right Left 29 5 Left x Right 26 6 (a) Find the values in cells (2,2) and (3,2) of the expected table. (b) Can a chi-square analysis be performed on the above table? (c) Combine the last two rows in the above table to create a new 2 × 2 table. (The meaning of the 2nd row in this new table would be "at least one of the parents is left-handed".) If we use the resulting 2 × 2 table to test the hypothesis that the handedness of the biological offspring is independent of the handedness of the parents using the 1% significance level, what is the value of the test statistic? (d) Find the critical value for the test in (c). (e) What is the conclusion?
Data from adoption studies on handedness indicate that the effects of shared biological heritage are more powerful determinants of hand preference than sociocultural factors. Biological offspring were found to show nonrandom distributions of right and non-right handedness as a function of parental handedness. In contrast, the handedness distribution of adopted children as a function of parental handedness was essentially random. The following table gives the handedness of biological offspring as a function of parental handedness. Biological Offspring Parental Handedness Right-Handed Left-Handed (father mother) Right Right 297 37 Right Left 29 5 Left x Right 26 6 (a) Find the values in cells (2,2) and (3,2) of the expected table. (b) Can a chi-square analysis be performed on the above table? (c) Combine the last two rows in the above table to create a new 2 × 2 table. (The meaning of the 2nd row in this new table would be "at least one of the parents is left-handed".) If we use the resulting 2 × 2 table to test the hypothesis that the handedness of the biological offspring is independent of the handedness of the parents using the 1% significance level, what is the value of the test statistic? (d) Find the critical value for the test in (c). (e) What is the conclusion?
Chapter1: Financial Statements And Business Decisions
Section: Chapter Questions
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Transcribed Image Text:Data from adoption studies on handedness indicate that the effects of shared
biological heritage are more powerful determinants of hand preference than
sociocultural factors. Biological offspring were found to show nonrandom
distributions of right and non-right handedness as a function of parental
handedness. In contrast, the handedness distribution of adopted children as a
function of parental handedness was essentially random. The following table
gives the handedness of biological offspring as a function of parental
handedness.
Biological Offspring
Parental Handedness
Right-Handed
Left-Handed
(father mother)
Right Right
297
37
Right Left
29
5
Left x Right
26
6
(a) Find the values in cells (2,2) and (3,2) of the expected table.
(b) Can a chi-square analysis be performed on the above table?
(c) Combine the last two rows in the above table to create a new 2 × 2 table.
(The meaning of the 2nd row in this new table would be "at least one of the
parents is left-handed".)
If we use the resulting 2 × 2 table to test the hypothesis that the handedness
of the biological offspring is independent of the handedness of the parents
using the 1% significance level, what is the value of the test statistic?
(d) Find the critical value for the test in (c).
(e) What is the conclusion?
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