Question

Researchers were interested in examining the amount of time toddlers played in the following three types of play: solitary, social and cooperative. Based on the results below, what would you conclude? (The sphericity assumption has been met).

Tests of Within-Subjects Effects
Measure:   MEASURE_1
Source		Type III Sum of Squares	df	Mean Square	F	Sig.	Partial Eta Squared
type_play	Sphericity Assumed	46393.448	2	23196.724	366.684	.000	.596
	Greenhouse-Geisser	46393.448	1.810	25637.950	366.684	.000	.596
	Huynh-Feldt	46393.448	1.822	25462.393	366.684	.000	.596
	Lower-bound	46393.448	1.000	46393.448	366.684	.000	.596
Error(type_play)	Sphericity Assumed	31503.885	498	63.261
	Greenhouse-Geisser	31503.885	450.581	69.918
	Huynh-Feldt	31503.885	453.687	69.440
	Lower-bound	31503.885	249.000	126.522

		Retain the null; there is a difference in amount of time in different types of play.
		Reject the null; there is not a difference in amount of time in different types of play.
		Reject the null; there is a difference in amount of time in different types of play.
		Retain the null; there is not a difference in amount of time in different types of play.

Answer 1

In this case, we are testing whether there is any difference in amount of time in a different type of play or not. So, it is two sided hypothesis testing

Null hypothesis:- all mean times are equal or there is no difference in amount of time in different types of play

Alternate hypothesis:- there is a significant difference in amount of time in different types of play

Using the given output data table

we can see that all the p values are 0.0000, which means that the p value is less than the significance level of 0.05

so, we can reject the null hypothesis

therefore, we can say that there is sufficient evidence to conclude that there is a significant difference in amount of time in different types of play

option C