Psychology

Denene Rice

1.

In conceptual terms, the hypothesis is that social exclusion increases belief in fake news. State

the null and research hypotheses in statistical terms.

The mean belief score in the treatment groups equals that in the control group,

Null

-

H0: u t= u c

Th

e mean belief score in the treatment group is greater than that in the control group,

Research

-

H1: M t > M c

2.

Explain why the t

-

test for independent samples is appropriate to test the hypothesis in terms of

the formula for t.

The numerator of t

computes

the

difference

between the me

ans

for the treatment and control

g

roups

. The denominator considers the

exactness of this distinction by considering changeability

and test size.

3.

Using SPSS, c

ompute the t statistic, as well as the means and standard deviations of eac

h

group.

M

t= 4

.

6, SD= 2.3. Mc=3.2

,

SD=1.7

, t

=1.07, df=8, p=.314

4.

Compute and interpret the effect size, d, for the differences between means, indicating if it is

small,

medium,

or large.

The effect size is

0.69

which

is a mediu

m effect size

5.

Summarize the results of the t

-

test, including the correct

notation.

Is t statistically

significant?

Should you reject or retain the null hypothesis? What is the probability of a type 1

error?

The difference between the means is not statistically significant,

t (

8) =

1.07, p>.05,

more

than .05.

Maintain

the null given

the

elevated

risk of a type 1 error, p=.314

6.

Is the difference between the means likely to be found in the

population? why or why not?

No, the difference between the means in the sample was found by error, and occurred

by chance, therefore it is not likely to be found in the population.

Denene Rice

1.In conceptual terms, the hypothesis is that social exclusion increases belief in fake news. State

the null and research hypotheses in statistical terms.

The mean belief score in the treatment groups equals that in the control group,

Null- H0: u t= u c

The mean belief score in the treatment group is greater than that in the control group,

Research- H1: M t > M c

2.Explain why the t-test for independent samples is appropriate to test the hypothesis in terms of

the formula for t.

The numerator of t computes the difference between the means for the treatment and control

groups. The denominator considers the exactness of this distinction by considering changeability

and test size.

3.Using SPSS, compute the t statistic, as well as the means and standard deviations of each

group.

M t= 4.6, SD= 2.3. Mc=3.2, SD=1.7, t=1.07, df=8, p=.314

4.Compute and interpret the effect size, d, for the differences between means, indicating if it is

small, medium, or large.

The effect size is 0.69 which is a medium effect size

5.Summarize the results of the t-test, including the correct notation. Is t statistically

significant? Should you reject or retain the null hypothesis? What is the probability of a type 1

error?

The difference between the means is not statistically significant, t (8) =1.07, p>.05,

more than .05. Maintain the null given the elevated risk of a type 1 error, p=.314

6.Is the difference between the means likely to be found in the population? why or why not?

No, the difference between the means in the sample was found by error, and occurred

by chance, therefore it is not likely to be found in the population.