A researcher hypothesizes that there is a positive correlation between the hours spent studying and the final exam score. They collect data from 20 students and compute the Pearson correlation coefficient, r, to be 0.75. Using a significance level of 0.05, test the hypothesis that there is a significant correlation between the hours spent studying and the final exam score.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 2AGP
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A researcher hypothesizes that there is a positive correlation between the hours spent studying and the final exam score. They collect data from 20 students and compute the Pearson correlation coefficient, r, to be 0.75. Using a significance level of 0.05, test the hypothesis that there is a significant correlation between the hours spent studying and the final exam score.
Expert Solution
Step 1: Given Information

The given information is as follows

The sample size is.n equals 20.

The Pearson correlation coefficient.r equals 0.75.

The level of significance is alpha equals 0.05

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