Question

# [1 point] Suppose you were testing the hypotheses $H_0: \mu_d = 0$ and $H_a: \mu_d \neq... [1 point] Suppose you were testing the hypotheses$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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