Question

Show all work including steps used during computations using formulas and diagrams when appropriate.

A student wanted to study the ages of couples applying for marriage licenses in his county. He studied a sample of 94 marriage licenses and found that in 66 cases the husband was older than the wife. Do the sample data provide evidence that the husband is usually older than the wife among couples applying for marriage licenses in that county? Explain briefly and justify your answer using the methods studied in this course. Use α= 0.05 as the level of significance.

Answer 1

Here claim is that p>0.5

So hypothesis is vs

Now

Hence test statistics is

P value is

As P value is less than alpha=0.05, we reject the null hypothesis

Hence we have sufficient evidence the p>0.5

Which means we have sufficient evidence to support the claim that the husband is usually older than the wife among couples applying for marriage licenses in that county