[1 point] Suppose you were testing the hypotheses $H_0: \mu_d = 0$ and $H_a: \mu_d \neq 0$ in a paired design and obtain a p-value of 0.21. Which one of the following could be a possible 95% confidence interval for $\mu_d$? a. -2.30 to -0.70 b. -1.20 to 0.90 c. 1.50 to 3.80 d. 4.50 to 6.90 ANSWER:
Solution:
Given:
p-value= 0.21
We have to find which one could be the 95% confidence interval .
For 95% confidence level , level of significance = 1 - 0.95 = 0.05
Since p-value = 0.21 > 0.05 significance level, thus we failed to reject H0.
That means is true.
If H0 is true , then confidence interval must include 0 or 0 is within the limits of confidence interval.
In such a case lower limit is negative and upper limit is positive.
Thus from the given options: b. -1.20 to 0.90 includes 0.
Thus correct option is: b. -1.20 to 0.90
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