Question: To ascertain if there is a significant correlation between age and salary, we would first calculate the value of r using the given data set.
To ascertain if there is a significant correlation between age and salary, we would first calculate the value of r using the given data set. Given that the degrees of freedom (df) are n - 2 (where n is the sample size), we would then refer to a statistical table to find the critical value at an alpha level ()= 0.05. With these values, we perform a two-tailed test because we are looking for a positive or negative correlation without specifying a direction. If the calculated value of r is greater than the critical value from the table, or if the p-value is less than , we reject the null hypothesis that there is no correlation (H0: r = 0). In the example provided, since the computed correlation (0.79) is greater than the critical value (0.44), and the p-value (0.026) is less than the significance level (0.05), we have sufficient evidence to reject the null hypothesis suggesting a significant relationship exists between age and salary in the dataset. Rephrase this paragraph
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