Question

**The following 4 questions refer to Scenario 4.**
Generally speaking, people are pretty bad at telling whether or not
someone is lying. Researchers are interested in studying if age is
associated with ability to tell if someone is lying. Researchers
compare a group of children (ages 8-10), adolescents (ages 14-17),
and adults (ages 25-45) on their ability to tell if a person in a
recorded video is lying or telling the truth.

A. What is the null hypothesis for scenario 4?

HO: µposttest = µpretest

H0: X = µ

HO: µ1 = µ2 =µ3

r = 0

B. What is the independent variable for scenario 4?

the participants

age group (children vs adolescents vs adults)

how much children can tell if you are lying

There is no independent variable in this study

ability to detect lies

C. What is the dependent variable for scenario 4?

the participants

how much children can tell if you are lying

There is no dependent variable in this study

age group (children vs adolescents vs adults)

ability to detect lies

D. What is the most appropriate test statistic to use to test the hypothesis in scenario 4?

independent samples t-test

z-score

correlation coefficient

one way ANOVA

z-test

regression

dependent samples t test

E. How would you report the results of *t*-test that is
statistically significant in the results section of an empirical
journal?

*t*= 4.00, *p* < .05

*t*(38) = 4.00, *p* < .05

*t*(2, 38) = 4.00, *p* < .05

T-test value = 4.00, *p* < .05

F. How would you report the results of an ANOVA
(*F*-test) that is statistically significant in the results
section of an empirical journal?

*F*= 4.00, *p* < .05

*F*(2,38) = 4.00, *p* < .05

*F* (38) = 4.00, *p* < .05

*f*(2, 38) = *p* < .05

Answer #1

Here the researchers want to test if age is associated with ability to tell if someone is lying and they are testing this using comparison of the ability of three different age groups of children. So they would test whether the means of the three groups are same or they differ.

So, A. H0: u1= u2= u3

B. The independent variable here is the age group

C. The dependent variable is ability to detect lies.

D. Since we have 3 groups here, the most appropriate test would be one way ANOVA.

F. For the ANOVA, we have 3 groups so numerator df= 3-1 = 2

Now denominator df would be found if we know the number of people in each group which is not specified here.

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