4 Belief in God Religion Studies researchers were interested

4. Belief in God: Religion Studies researchers were interested in making in- ferences about the true proportion of Canadians who believe in some form of God. They randomly surveyed 100 Canadians and asked them whether or not they believed in God (‘Yes’ or ‘No’). 61 answered ‘Yes’. Below is the R output:

0.61

Solution

a) 61 [ANSWER]

b)

Ho: u = 0.5
Ha: u=/= 0.5 [ANSWER]

c) chi^2 = 4.84 [ANSWER]

d) chi^2(df = 1)

e)

(0.514403, 0.705597) [ANSWER]

f)

As this one is one tailed, then we divide the two tailed probability by 2,

P = 0.028/2 = 0.014 [ANSWER]

As P < 0.05, Reject Ho. [ANSWER]

g)

There is significant evidence that majority of Canadians believe in some form of God with P value of 0.014.