Consider the following competing hypotheses:
H0: ρxy = 0
HA: ρxy ≠ 0
The sample consists of 27 observations and the sample correlation coefficient is 0.38. [You may find it useful to reference the t table.]
a-1. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.)
TEST STATISTIC: ________
a-2. Find the p-value.
0.02 p-value < 0.05
0.01 p-value < 0.02
p-value < 0.01
p-value 0.10
0.05 p-value < 0.10
b. At the 1% significance level, what is the conclusion to the test?
Reject H0; we can state the variables are correlated.
Reject H0; we cannot state the variables are correlated.
Do not reject H0; we can state the variables are correlated.
Do not reject H0; we cannot state the variables are correlated.
(a - 1)
Test statistic is given by:
TEST STATISTIC: 2.054
(a - 2)
ndf = n - 2 = 27 - 2 = 25
By Technology, p - value = 0.0506
So,
Correct option:
0.05 < p - value < 0.10
(b)
Correct option:
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...
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