Question

Research has demonstrated that people tend to be attracted to others who are similar to themselves. One study demonstrated that individuals are disproportionately more likely to marry those with surnames that begin with the same last letter as their own. The researchers began by looking at marriage records and recording the surname of reach groom and the maiden name of each bride. From these records it is possible to calculate the probability of randomly matching a bride and a groom whose last names begin with the same letter. Suppose this probability is 6.5%. Next, a sample of n = 196 married couples is selected and the number who shared the same last initial at the time they were married is counted. The resulting observed frequencies are as follows. Same Different Initial Initials 18 178 196 Do these data indicate that the number of couples with the same last initial is significantly different than would be expected if couples were matched randomly? Test with α = 0.05. (Round your answers to two decimal places.)

χ2-critical = 3.84

χ2 =

Conclusion=

Answer 1