A food inspector examined 16 jars of a certain brand of jam to determine the percent of foreign impurities. The following data were recorded:
2.4
2.3
3.1
2.2
1.2
1.0
1.7
1.1
4.2
1.9
3.6
1.6
Using the normal approximation to the binomial distribution, perform a sign test at the 0.05 level of significance to test the null hypothesis that the median percent of impurities in this brand of jam is 2.5% against the alternative that the median percent of impurities is not 2.5%.
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