In 1960, census results indicated that the age at which American men first married had a mean of 23.3 years. It is widely suspected that young people today are waiting longer to get married. We want to find out if the mean age of first marriage has increased during the past 40 years. Suppose we collect a sample of 40 men and find that 55% of them got married beyond the age of 27. With a sig. level of .01, test the hypothesis that more than 50% of men get married beyond the age of 27.

I have determined that the null hypothesis is more than 50% of men get married beyond the age of 27. I am unsure if I should use U or X and if I need to use the mean of 23.3 years when writing out the test.

Any help provided would be appreciated. Thanks so much!

Sarah