Consider the following competing hypotheses: Ho: Pxy = 0 HA: Pxy * 0 The sample consists of 24 observations and the sample correlation coefficient is 0.15. [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. O0.05 s p-value < 0.10 O0.02 s p-value < 0.05 O0.01 s p-value < 0.02 Op-value < 0.01 prvalue 2 0.10 b. At the 1% significance level, what is the conclusion to the test? Reject Ho; we can state the variables are correlated. Reject Ho: we cannot state the variables are correlated. Do not reject Ho; we can state the variables are correlated. Do not reject Ho; we cannot state the variables are correlated.

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A-1
Consider the following competing hypotheses:
Ho: Pxy = 0
HA: Pxy # 0
The sample consists of 24 observations and the sample correlation coefficient is 0.15.
[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.
O0.05 s p-value < 0.10
Ō.02 s p-value < 0.05
O0.01 s p-value < 0.02
p-value < 0.01
prvalue 2 0.10
b. At the 1% significance level, what is the conclusion to the test?
Reject Ho; we can state the variables are correlated.
Reject Ho; we cannot state the variables are correlated.
Do not reject Ho; we can state the variables are correlated.
Do not reject Ho; we cannot state the variables are correlated.
Transcribed Image Text:Consider the following competing hypotheses: Ho: Pxy = 0 HA: Pxy # 0 The sample consists of 24 observations and the sample correlation coefficient is 0.15. [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. O0.05 s p-value < 0.10 Ō.02 s p-value < 0.05 O0.01 s p-value < 0.02 p-value < 0.01 prvalue 2 0.10 b. At the 1% significance level, what is the conclusion to the test? Reject Ho; we can state the variables are correlated. Reject Ho; we cannot state the variables are correlated. Do not reject Ho; we can state the variables are correlated. Do not reject Ho; we cannot state the variables are correlated.
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