Question

You wonder if one's age is independent of whether or not one's willingness to wear masks in public. You ask 100 people whether they are wearing masks in public or not and whether they are under 20 years old, between 20 and 39, between 40 and 59, or 60 or above. Using your data, you calculate a test statistic of 16.5. Using a critical value of 7.82, what is your statistical conclusion

Answer 1

One's age is not independent of one's willingness to wear masks in public.

Explanation:

The hypothesis for the study can be defined as follows:

H₀: One's age is independent of one's willingness to wear masks in public.

Hₐ: One's age is not independent of one's willingness to wear masks in public.

It is provided that the test statistic value is, t = 16.5.

And the critical value of the test is, c = 7.82.

t = 16.5 > c = 7.82

Since the test statistic value is more than the critical value, the null hypothesis will be rejected.

Thus, concluding that one's age is not independent of one's willingness to wear masks in public.