The tables below give the ten most popular names given to girls bom in the U.S.

Question

The tables below give the ten most popular names given to girls bom in the U.S. in the years 1974 and 1999 and the percentages of girls given those names. Consider a group of 20 girls bom in 1974, and another group of 20 bom in 1999. Use the data in the tables to do problems 22-25 regarding these groups. The name Jennifer was approximately 3 times as popular in 1974 as Emily was in 1999, despite each being the #1 name in their respective years. Determine by calculation if you are 3 times as likely to have more than one Jennifer in the 1974 group of 20 as you are to have multiple Emilys in the 1999 group of 20.

Explanation / Answer

In 1974, 4.03% people name their girl Jennifer. So number of kids with their name Jennifer from a sample of 20 kids in 1974 = 4.05*20/100 = 0.806 girls

In 1999, 1.36 % people name their girl Emily. So number of kids with their name Emily from a sample of 20 girls in 1999 = 1.36*20/100 = 0.272 girls.

Ratio = 0.806/0.272 = 2.96

Since this ratio is slighly less than 3, therefore, we are likely to have more than one Jennifer in the 1974 group of 20 as we are to have multiple Emilys in the 1999 group of 20.

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