It has been suggested that gossiping about others may affect how likeable you are. Two groups of participants are asked to read a vignette describing a fictional person. They are then asked to rate how much they would like the person described in the vignette on a continuous scale from 1-15, where higher scores represent a higher likability. The first group of participants (n=20) reads a vignette describing a person that frequently gossips and obtains an average likability score of (M1) with a variance of (S12). The second group of different participants (n=20) reads a vignette describing a person that never gossips and obtains an average likability score of (M2) with a variance of (S22). Given that there is not much research in this area, test the hypothesis that gossiping impacts likability at an alpha=0.05.  What is the null hypothesis? What is the alternative hypothesis? What is/are the critical value(s)?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 23PPS
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It has been suggested that gossiping about others may affect how likeable you are. Two groups of participants are asked to read a vignette describing a fictional person. They are then asked to rate how much they would like the person described in the vignette on a continuous scale from 1-15, where higher scores represent a higher likability. The first group of participants (n=20) reads a vignette describing a person that frequently gossips and obtains an average likability score of (M1) with a variance of (S12). The second group of different participants (n=20) reads a vignette describing a person that never gossips and obtains an average likability score of (M2) with a variance of (S22). Given that there is not much research in this area, test the hypothesis that gossiping impacts likability at an alpha=0.05. 

What is the null hypothesis?

What is the alternative hypothesis?

What is/are the critical value(s)?

 

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