Question

Does the data support the hypothesis that more than half of the countries in the world are mostly christian at the .05 significance level? How about at the .10 significance level?

Buddhist - 10

Catholic - 2

Christian - 5

Orthodox - 2

Jewish -2

Lutheran - 2

Shintoism -3

Hindu - 2

Protestant 1

Other- 1 Total=30

Answer 1

The total number of Christian 5 out of total population 30

Now we want to test whether half of the population is greater than 1/2 or not.

We want to test

H0 : P =1/2 ag H1 : P >= 1/2

We perform the test in minitab. Steps

Open minitab --- go to stat--- basic stat --- 1proportion --- select option summarized data --- enter 5 in numbers of events and 30 in number of trials ------ check perform hypothesis test and hypothesis proportion as 0.5 ----- click option and select confidence level 95.0 --- alternative hypothesis as 'proportion greater than hypothesized proportion' ------ method as normal approximation------ click ok

We use normal approximation because it's a large sample test since the sample size is greater than 25 .

Now we got the result as

so here for level of significance 0.05 the p value is 1 which is greater than 0.05 hence we accept the null hypothesis and conclude that half of the population in whole world is Christian.

Now for .01 level of significance we perform the test on the same way as before but we enter confidence interval as 99.0 .

Here also the p value is 1 .so here also we accept the null hypothesis and conclude that half of the population is Christian.