A sociologist wanted to determine whether there was a differ

A sociologist wanted to determine whether there was a difference in the amount of time children aged 5-7 spent watching television each day. The following data was gathered(in minutes). What is the critical value if the sociologist wants to test the claim that children watch television pretty much the same amount each day of the week? Use a 5% level of significance.

Day              M          T          W     TH      F    Sat   Sun

No. of Min    125      140     130    125   200   225   210

Solution

Here, there are 7 days in a week.

Thus, the degrees of freedom of this is

df = n - 1 = 7 - 1

df = 6

where n = the number of categories.

Thus, at 5% significance in the chi square goodness of fit, with df = 6, using technology or table,

chi^2 (crit) = 12.59158724 [ANSWER]

[In Excel, you just type

=CHISQ.INV.RT(0.05, 6)

where the first entry is the significance of the right tailed test, and the second entry is the degrees of freedom.]