Asked by Nikki Naterwala on May 25, 2024

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In a sample of 60 students, the combination of household income and high school GPA predicting college GPA had an R = .45, F(2, 57) = 7.34, the researcher would ______.

A) not reject the null hypothesis (p > .05)
B) not reject the null hypothesis (p < .05)
C) reject the null hypothesis (p >.05)
D) reject the null hypothesis (p <.05)

Null Hypothesis

A statement asserting there is no significant difference or relationship between specified populations, derived from sample data.

Household Income

The combined income of all members of a household, used as a measure of socioeconomic status or to understand economic trends.

High School GPA

A measure of a student's academic achievement in high school, typically calculated as an average of grades.

  • Comprehend the essential statistical outputs associated with linear regression, like R-values and F-ratios.
  • Utilize the principles of hypothesis testing in regression analysis scenarios, focusing on the interpretation of p-values and the concept of the null hypothesis.
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Jagteshwar SinghMay 26, 2024
Final Answer :
D
Explanation :
The F statistic is significant (p < .05), indicating that the predictor variables (household income and high school GPA) are significantly related to the outcome variable (college GPA). Therefore, the null hypothesis (that there is no relationship between the predictor variables and the outcome variable) is rejected.