A researcher conducts a repeated-measures study comparing two treatment conditions with a sample of n = 25 participants and obtains a t-statistic of t = 2.21. Which of the following is the correct decision for a two-tailed test?

A. Reject the null hypothesis with ? = .05 but fail to reject with ? = .01.
B. Reject the null hypothesis with either ? = .05 or ? = .01.
C. Fail to reject the null hypothesis with either ? = .05 or ? = .01.
D. cannot determine the correct decision without more information

A

Step-by-step explanation:

Since the number of samples, n is 25, we would determine the degree of freedom, df

df = n - 1 = 25 - 1

df = 24

Given the test statistic = 2.21 and the test is a two-tailed test, we would determine the probability value using the t test calculator.

At significant level of 0.05,

P value = 0.037

At significant level of 0.01,

p value = 0.037

The decision rule is that:

We would reject the null hypothesis if significant level is > p value

Therefore,

A. Reject the null hypothesis with alpha = 0.05 but fail to reject with alpha = 0.01

the correct option is b

step-by-step explanation:

in mathematics, a constraint is a condition of an optimization problem that the solution must satisfy. there are several types of constraints—primarily equality constraints, inequality constraints, and integer constraints. the set of candidate solutions that satisfy all constraints is called the feasible set.

hoped i'm right lol