Answer
$X_0^2=4155.584$ with a P-value $\ltα$. Reject the null hypothesis.
There is enough evidence to conclude that different proportions of 18- to 29-year-olds have been affiliated with religion in the past four decades.
Work Step by Step
$H_0:p_{1970s}= p_{1980s}= p_{1990s}= p_{2000s}$
versus
$H_1:$ different proportions of 18- to 29-year-olds have been affiliated with religion in the past four decades.
In MINITAB, enter the given values:
1-C1 = 2395, 1-C2 = 3022, 1-C3 = 2121, 1-C4 = 624
2-C1 = 327, 2-C2 = 412, 2-C3 = 404, 2-C4 = 2087
Select Stat -> Tables -> Chi-Square Test for Association
Select "Summarized data in a two-way table"
In columns containing the table enter: C1 C2 C3 C4
Click OK.
$X_0^2=4155.584$ with a P-value $\lt0.001\ltα=0.05$
