Mathematics
Mathematics, 22.04.2020 01:47, miyah1199

The gene ACTN3 encodes a protein that functions in fast-twitch muscles. People can be classified according to which genotype of this gene they have, RR, RX, or XX, and also according to which genetic allele they have, R or X. The study1 described here, examines the association between this gene and different subgroups of the population. All participants in the study live in Australia. The earlier exercises only included the control group Testing Genotypes for Fast-Twitch Muscles The study on genetics and fast-twitch muscles includes a sample of elite sprinters, a sample of elite endurance athletes, and a control group of non-athletes. Is there an association between genotype classification (RR, RX, or XX) and group (sprinter, endurance, control group)? Computer output is shown for this chi-square test. In each cell, the top number is the observed count, the middle number is the expected count, and the bottom number is the contribution to the chi-square statistic. RX 226 XX Total 436 Control 130 80 143.76 214.15 78.09 1.316 0.655 0.047 Sprint 48 107 53 35.28 8.901 6 52.56 19.16 0.395 9.043 Endurance 194 60 63.96 0.246 46 95.2934.75 0.558 3.645 Total 243 362 132 737 Chi-Sq = 24.805, DF = 4, P-Value = 0.000 (a) What is the expected count for sprinters with the RRgenotype? For this cell, what is the contribution to the chi-square statistic? Round your answer for the expected count to two decimal places, and your answer for the contribution to the chi-square statistic to three decimal places. Expected count Contribution to the chi-square statistic- (b) What are the degrees of freedom for the test?

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