I got (a) half right I got (b) and (e) wrong Problem #2: Data from adoption studies on handedness indicate that the effects of sharedbiological heritage are more powerful determinants of hand preference thansociocultural factors. Biological offspring were found to show nonrandomdistributions of right and non-right handedness as a function of parentalhandedness. In contrast, the handedness distribution of adopted children as afunction of parental handedness was essentially random. The following table givesthe handedness of biological offspring as a function of parental handedness.Parental Handedness(father x mother)Problem #2(a): 4.717, 3.442Right x RightRight x LeftLeft & RightBiological OffspringRight-Handed2992921(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. (Themeaning of the 2nd row in this new table would be "at least one of the parentsis left-handed".)If we use the resulting 2 × 2 table to test the hypothesis that the handedness ofthe biological offspring is independent of the handedness of the parents usingthe 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?Left-Handed3786expected values (correct to 3 decimals)separate your answers with a comma(A) Yes, because only some of the expected frequencies are less than 5.(B) No, because at least one of the expected frequencies is less than 5.(C) No, because the population is not normal. Problem #2(a): 4.717, 3.442(A) Yes, because only some of the expected frequencies are less than 5.(B) No, because at least one of the expected frequencies is less than 5.(C) No, because the population is not normal.(D) Yes, because at least one of the observed frequencies is less than 5.(E) Yes, because at least one of the expected frequencies is less than 5.(F) No, because at least one of the observed frequencies is less than 5.(G) Yes, because all of the observed frequencies are at least 5.Problem #2(b): GProblem #2(c): 5.70Problem #2(d): 6.635expected values (correct to 3 decimals)separate your answers with a commatest statistic (correct to 2 decimals)(A) Reject the hypothesis of independence sincethe answer in (c) is less than or equal to the answer in (d)critical value (correct to 3 decimals)(B) Do not reject the hypothesis of independence sincethe answer in (c) is less than or equal to the answer in (d)(C) Reject the hypothesis of independence sincethe answer in (c) is greater than the answer in (d)(D) We conclude that the factors are independent sincethe answer in (c) is greater than the answer in (d)(E) Do not reject the hypothesis of independence sincethe answer in (c) is greater than or equal to the answer in (d)Problem #2(e): D(F) We conclude that the factors are independent sincethe answer in (c) is less than or equal to the answer in (d)conclusion(G) We conclude that the factors are dependent sincethe answer in (c) is less than or equal to the answer in (d)

Question

I got (a) half right I got (b) and (e) wrong Problem #2: Data from adoption studies on handedness indicate that the effects of sharedbiological heritage are more powerful determinants of hand preference thansociocultural factors. Biological offspring were found to show nonrandomdistributions of right and non-right handedness as a function of parentalhandedness. In contrast, the handedness distribution of adopted children as afunction of parental handedness was essentially random. The following table givesthe handedness of biological offspring as a function of parental handedness.Parental Handedness(father x mother)Problem #2(a): 4.717, 3.442Right x RightRight x LeftLeft & RightBiological OffspringRight-Handed2992921(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. (Themeaning of the 2nd row in this new table would be &#34;at least one of the parentsis left-handed&#34;.)If we use the resulting 2 × 2 table to test the hypothesis that the handedness ofthe biological offspring is independent of the handedness of the parents usingthe 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?Left-Handed3786expected values (correct to 3 decimals)separate your answers with a comma(A) Yes, because only some of the expected frequencies are less than 5.(B) No, because at least one of the expected frequencies is less than 5.(C) No, because the population is not normal. Problem #2(a): 4.717, 3.442(A) Yes, because only some of the expected frequencies are less than 5.(B) No, because at least one of the expected frequencies is less than 5.(C) No, because the population is not normal.(D) Yes, because at least one of the observed frequencies is less than 5.(E) Yes, because at least one of the expected frequencies is less than 5.(F) No, because at least one of the observed frequencies is less than 5.(G) Yes, because all of the observed frequencies are at least 5.Problem #2(b): GProblem #2(c): 5.70Problem #2(d): 6.635expected values (correct to 3 decimals)separate your answers with a commatest statistic (correct to 2 decimals)(A) Reject the hypothesis of independence sincethe answer in (c) is less than or equal to the answer in (d)critical value (correct to 3 decimals)(B) Do not reject the hypothesis of independence sincethe answer in (c) is less than or equal to the answer in (d)(C) Reject the hypothesis of independence sincethe answer in (c) is greater than the answer in (d)(D) We conclude that the factors are independent sincethe answer in (c) is greater than the answer in (d)(E) Do not reject the hypothesis of independence sincethe answer in (c) is greater than or equal to the answer in (d)Problem #2(e): D(F) We conclude that the factors are independent sincethe answer in (c) is less than or equal to the answer in (d)conclusion(G) We conclude that the factors are dependent sincethe answer in (c) is less than or equal to the answer in (d)

Accepted Answer

(a)
Null hypothesis:

Alternative hypothesis: