Consider the following competing hypotheses: H0: ?xy = 0 HA: ?xy ? 0 The sample consists of 26 observations and the sample correlation coefficient is 0.69. [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. p-value ? 0.10 0.05 ? p-value < 0.10 0.02 ? p-value < 0.05 0.01 ? p-value < 0.02 p-value < 0.01 b. At the 5% significance level, what is the conclusion to the test? Do not reject H0; we cannot 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. Reject H0; we can state the variables are correlated.
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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 (number of observations). Plugging in the values we have: t = 0.69 * sqrt(26-2) / sqrt(1-0.69^2) = Show moreā¦
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Consider the following competing hypotheses: H0: Ļxy = 0 HA: Ļxy ā 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: Ā±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.
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Consider the following competing hypotheses: H0: Ļxy = 0 HA: Ļxy ā 0 The sample consists of 26 observations and the sample correlation coefficient is 0.69. [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. p-value ā„ 0.10 0.05 ā¤ p-value < 0.10 0.02 ā¤ p-value < 0.05 0.01 ā¤ p-value < 0.02 p-value < 0.01 b. At the 5% significance level, what is the conclusion to the test? Do not reject H0; we cannot 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. Reject H0; we can state the variables are correlated.
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