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 letter as their own (Jones, Pelham. Carvallo, & Mirenberg, 2004). The researchers began by looking at marriage records and recording the surname for each 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 that this probability is only 6.5%. Next, a sample of n = 200 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 Initial | Different Initials | l |
19 | 181 | 200 |
Do these data indicate that the number of couples with the some last initial is significantly different than would be expected if couples w ere matched randomly? Test with α = .05.
Given Info:
Calculation:
Given
Same initials | Different initials | |
19 | 181 | 200 |
Step 1: Null hypothesis
Same initials | Different initials | |
50% | 50% | 200 |
Step 2: Use
For critical region the value of freedom is
As
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