consider the following competing hypotheses h0 xy 0 ha xy 0 the sample consists of 26 observatio

a-1. We are given a sample size of 26, so the degrees of freedom for this problem are 26 - 2 = 2

Question

Consider the following competing hypotheses: H0: ρxy = 0 HA: ρxy ≠ 0 The sample consists of 26 observations and the sample correlation coefficient is 0.69. Use Table 2. a-1. At the 5% significance level, specify the critical value(s). (Round your answer to 3 decimal places.) Critical value: ±2.064 a-2. Specify the decision rule. We reject H0 if t24 > 2.064 or t24 < -2.064 b. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) Test statistic: 2.64 c. What is the conclusion to the test? Do not reject H0; we cannot state the variables are correlated.

          Consider the following competing hypotheses:
H0: ρxy = 0
HA: ρxy ≠ 0
The sample consists of 26 observations and the sample correlation coefficient is 0.69. Use Table 2.

a-1.
At the 5% significance level, specify the critical value(s). (Round your answer to 3 decimal places.)
Critical value: ±2.064

a-2.
Specify the decision rule.
We reject H0 if t24 > 2.064 or t24 < -2.064

b.
Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)
Test statistic: 2.64

c.
What is the conclusion to the test?
Do not reject H0; we cannot state the variables are correlated.

Added by Cesar S.

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