You are studying whether individuals carrying the minor allele in a polymorphism

Question

You are studying whether individuals carrying the minor allele in a polymorphism of the TCF7L2 gene have higher fasting glucose than those with the major allele. Suppose you perform a hypothesis test to determine whether fasting glucose is significantly higher in 10 minor allele carriers compared to 10 major allele carriers. You collect the data, perform the t test, and find that the value of the t test statistic is 1.817. Assuming you test your hypothesis at the 5% significance level, you find that the critical t value on 18 df is 1.734. Therefore, you conclude that:

Select one:

a. You should reject the null hypothesis of no difference in mean fasting glucose between the two groups, in favor of the alternative that the mean fasting glucose of minor allele carriers is lower than the mean fasting glucose of those with the major allele

b. You should reject the null hypothesis of no difference in mean fasting glucose between the two groups, in favor of the alternative that the mean fasting glucose of minor allele carriers is higher than the mean fasting glucose of those with the major allele

c. You should NOT reject the null hypothesis of no difference in mean fasting glucose between the two groups

d. You should reject the null hypothesis of no difference in mean fasting glucose between the two groups, in favor of the alternative that there is a difference in the mean fasting glucose for minor allele carriers vs. major allele carriers

e. None of the other answer choices are true

Explanation / Answer

here null hypothesis-no difference in mean fasting glucose between the two groups

alternative - fasting glucose of minor allele carriers is higher than the mean fasting glucose of those with the major allele

we reject the nul(do not accept) if t statistic is greater then the critical value

here the value of the t test statistic is 1.817.

the critical t value on 18 df is 1.734

1.817>1.734

so

b. You should reject the null hypothesis of no difference in mean fasting glucose between the two groups, in favor of the alternative that the mean fasting glucose of minor allele carriers is higher than the mean fasting glucose of those with the major allele

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