In a sample of 200 racquetball players, 120 indicated they prefer Penn racquetballs, 75 favored Ektelon, and 5 were indifferent. We want to use the sign test to determine if there is evidence of a significant difference in the preferences for the two types of racquetballs
a. Provide the hypotheses to be tested.
b. Compute the mean.
c. Compute the standard deviation.
d.. At 95% confidence, test to determine if there is evidence of a significant difference in the preferences for the two types of racquetballs.
a. Ho: P = 0.5
Ha: P ? 0.5
b. 97.5
c. 6.982
d.. Test Statistic Z = 3.22; p-value < 0.05, therefore reject Ho (p-value, using Excel = 0.00127)
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