Question

You want to know if the amount of physical space separating two people in conversation affects the amount of eye contact between them. You take a random sample of thirty people, place them standing 6 feet apart and ask them to conduct a scripted conversation. You measure the amount of time each person spends looking directly in the eyes of the conversational partner. You ask a different sample of thirty subjects to stand four feet apart and conduct the same conversation. You do it again, this time placing another thirty people ten feet apart. In order to see if there is any difference in the average time spent in direct eye contact among the three groups, you would use

Chi square goodness of fit

Chi square test of independence

Independent sample (simple) ANOVA

Repeated measures (matched sample) ANOVA

Factorial ANOVA

Answer 1

here claim is: the amount of physical space separating two people in conversation affects the amount of eye contact between them

we will set the null and alternative hypothesis

Ho: the amount of physical space separating two people in conversation is dependent on the amount of eye contact between them

Ha: the amount of physical space separating two people in conversation is independent on the amount of eye contact between them

here we will use the  Chi square test of independence