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).

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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).

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