5. Comprehend the following case: An educational H&PE; researcher conducted a st

Question

5. Comprehend the following case: An educational H&PE; researcher conducted a study to assess the relationship between the psycho-motor agility of second-grade children and their computational fluency. She adminis- tered a psycho-motor agility test as well as a computational fluency test to a single pseudo- random sample of 86 second-grade students. The resulting string of bivariate data X is of the following form: X = {(vi,4), (u2, d2), . . . , (v86, d86)). The resulting sample statistics are n 86 and r =-0.10. She tested the following null hypothesis via a t-test for correlations: The calculation from http://vassarstats.net/textbook/ch4apx.html provided the following re- sults: df 84 Probability directional non-directional 038619 017800 Because the t value was such that p0.05, the researcher failed to reject Ho Examine each of the following propositions to determine its truth value; indicate your choice by circling either T" or "F" and then write a paragraph defending your choice. coefficient is statistically insignif- (a) The results of the t-test indicated that the correlation icant. T F

Explanation / Answer

a) True

as null is not rejected

b) True

c) True if r calculated is less than critical value

d) False

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