A researcher is interested in seeing if listening to a political debate changes anxiety scores among people. The researcher knows of no previous research that would predict whether anxiety scores would be raised or lowered. The researcher gathers a sample of n = 4, and gives these participants an anxiety test before and after listening to the political debate. Below are the data (anxiety scores) at time one (X₁) and time two (X₂) for all participants. Participant A BCD X₁ 12 20 10 10 X₂ 28 24 26 18 a.) State the researcher's null and alternative hypotheses (using symbols OR everyday language): Ib.) Is this a one or a two-tailed test? c.) Find the critical value (alpha = .05) d.) Compute the observed test statistic (remember to show your work) e.) Based on the information above, what is your statistical conclusion? f.) Describe briefly what we can conclude in practical terms g.) Based on the results above, calculate a Cohen's d and interpret what this tells us about the difference (if any).
A researcher is interested in seeing if listening to a political debate changes anxiety scores among people. The researcher knows of no previous research that would predict whether anxiety scores would be raised or lowered. The researcher gathers a sample of n = 4, and gives these participants an anxiety test before and after listening to the political debate. Below are the data (anxiety scores) at time one (X₁) and time two (X₂) for all participants. Participant A BCD X₁ 12 20 10 10 X₂ 28 24 26 18 a.) State the researcher's null and alternative hypotheses (using symbols OR everyday language): Ib.) Is this a one or a two-tailed test? c.) Find the critical value (alpha = .05) d.) Compute the observed test statistic (remember to show your work) e.) Based on the information above, what is your statistical conclusion? f.) Describe briefly what we can conclude in practical terms g.) Based on the results above, calculate a Cohen's d and interpret what this tells us about the difference (if any).
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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