Statistical problems Mathematics & Economics Statistics Project (Statistics Project Sample)
Professor Alex G. Page
February 28, 2021
Problem 1 Solution
The application of a t-test determines whether a linear relationship exists between a family’s educational level and the eliteness of the institution that the first child went.
Let p be the population correlation coefficient between the two variables (educational status and eliteness). A p value of zero implies that a linear relationship does not exist between variables; a p value or less than zero signifies the existence of a linear relationship.
Null hypothesis (H0): p= 0
Alternative hypothesis (HA): p≠0
Test statistic (t*) = r√n-2/√1-r2
The correlation coefficient between educational status and eliteness is r while n is the sample size.
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