Question

A student wanted to study the ages of couples applying for marriage licenses in his county. He studied a sample of 96 marriage licenses and found that in 67 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

Please not i want someone to actually work this out i do not like the one that is posted

Answer 1

H0: p = 0.50

Ha: p > 0.50

Sample proportion = 67 / 96 = 0.6979

Test statistics

z = - p / sqrt( p ( 1 -p ) / n)

= 0.6979 - 0.5 / sqrt( 0.5 * 0.5 / 96 )

= 3.88

p-value = P( Z > z)

= P (Z > 3.88)

= 0.0001

Since p-value < 0.05 significance level, we have sufficient evidence t o reject H0.

We conclude at 0.05 level that we have enough evidence to support the claim that husband is usually

older than wife.