Consider the following competing hypotheses: H0: Ļ = 0 H1: Ļ ā 0 The sample consists of 30 observations and the sample correlation coefficient is 0.36. [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. 0.025 < p-value < 0.05 0.01 < p-value < 0.025 p-value < 0.01 p-value > 0.10 0.05 < p-value < 0.10 b. At the 1% significance level, what is the conclusion of the test? H0: Ļ = 0 We conclude that the population correlation coefficient between X and Y is less than zero.
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Step 1
To calculate the test statistic, we need to use the formula: t = r * sqrt(n-2) / sqrt(1-r^2) where r is the sample correlation coefficient, n is the sample size, and t is the test statistic. Plugging in the values given, we get: t = 0.36 * sqrt(30-2) / Show moreā¦
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