Question

(c)What is the test statistic? Give your answer to 3 decimal places. 5.971 (d)The p-value = 0.005. Which of the following is an appropriate conclusion? The data provides very strong statistical evidence that the average SENS reading after antihypertensive treatment is lower than the average SENS reading before antihypertensive treatment. The data does not provide statistical evidence that the the average SENS reading after antihypertensive treatment is lower than the average SENS reading before antihypertensive treatment. The data provides very strong evidence we should reject the null hypothesis. The data does not provide statistical evidence that we should reject the null hypothesis. Two of the above are equally good conclusions. (e) The researcher also analyzed his data using the 2 sample t test and calculated test statistic of 2.002 with a p-value = 0.062. Why does the independent samples t test have a different p-value? Choose all that apply. We have 2 response values per individual and these values are correlated and therefore not independent. So the independent samples t test will give an incorrect value for the p-value. We have 2 response values per individual and these values are correlated and therefore not independent. So the paired test will give an incorrect value for the p-value. The numerator of the test statistic for the independent samples t test is smaller resulting in a larger p-value There is smaller variation in the data values from a paired t test because the spread in salt sensitivity values among people is eliminated when differences are taken. Because of this, standard deviation used in the paired t test is smaller so th paired test can detect differences in the two populations that might be missed by the independent samples t test.

Answer 1

Solution:

(e) The researcher also analyzed his data using the 2 sample t test and calculated test statistic of 2.002 with a p-value = 0.062. Why does the independent samples t test have a different p-value? Choose all that apply We have 2 response values per individual and these values are correlated and therefore not independent. So the independent samples t test will give an incorrect value for the p-value. We have 2 response values per individual and these values are correlated and therefore not independent. So the paired test will give an incorrect value for the p-value. The numerator of the test statistic for the independent samples t test is smaller resulting in a larger p-value There is smaller variation in the data values from a paired t test because the spread in salt sensitivity values among people is eliminated when differences are taken. Because of this standard deviation used in the paired t test is smal paired test can detect differences in the two populations that might be missed by the independent samples t test.