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In baseball, hits can be one of four types: singles, doubles, triples, or home runs. In the last baseball season, 64% of the hits were

In baseball, hits can be one of four types: singles, doubles, triples, or home runs. In the last baseball season, 64% of the hits were singles, 20% were doubles, 2% were triples, and 14% were home runs.

Spring training games are played in March before the regular season to help the players get in shape. A sports writer thinks that perhaps the distribution of types of hits is different in these games. The sportswriter gathers a random sample of 251 hits from spring training games. Here is the distribution of types of hits for these games:

Singles

Doubles

Triples

Home Runs

153

59

5

34

At the 0.05 level of significance, use the chi-squared test to write and test the hypothesis that the proportions of the different types of hits in the spring is the same as for last year's season.

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