Question

(d) use the table of critical values for the pearson correlation coefficient to make a conclusion about the correlation coefficient. let α = 0.01. the critical value is 0.834. therefore, there is not sufficient evidence at the 1% level of significance to conclude that there is a significant linear correlation between high - school girls heights and their iq scores. (round to three decimal places as needed.)

Explanation:

Step1: Understand the decision - rule

In hypothesis testing for correlation, if the absolute value of the sample correlation coefficient is less than the critical value at a given significance level, we conclude that there is no significant linear correlation. Here, the critical value is 0.834 at $\alpha = 0.01$. Since it is stated that there is not sufficient evidence to conclude a significant linear correlation, it means the sample correlation coefficient's absolute value is less than 0.834.

Answer:

there is no correlation