A study was conducted that investigated the gene ACTN3, which encodes a protein that functions in fast-twitch muscle fibres. People can be classified according to which genotype of this gene they have, RR, RX or XX. The study included a sample of elite sprinters and a sample of endurance athletes. The researchers are investigating whether there is an association between the genotype classification and the type of athlete (sprinters or endurance). Observed counts XX RX RR Total Endurance 55 49 30 134 Sprinters 49 95 50 194 Total 104 144 80 328 The observed test statistic was 9.38 (2dp) and the associated p-value was 0.009192 (6dp). Make a decision and conclusion for this hypothesis test in context. Use a significance level of 1% (α = 0.01).
A study was conducted that investigated the gene ACTN3, which encodes a protein that
Observed counts |
XX |
RX |
RR |
Total |
Endurance |
55 |
49 |
30 |
134 |
Sprinters |
49 |
95 |
50 |
194 |
Total |
104 |
144 |
80 |
328 |
The observed test statistic was 9.38 (2dp) and the associated p-value was 0.009192 (6dp). Make a decision and conclusion for this hypothesis test in context. Use a significance level of 1% (α = 0.01).
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