A student wants to determine whether her dog Muffin tends to chase her blue ball more frequently than she chases her red ball. The student rolls both blue ball and red ball at the same time and observes which ball Muffin chooses to chase. Repeating this process total of 196 times, the student finds that Muffin chased the blue ball 102 times and red ball 94 times.
a. Determine the observational units in this study?
b. Determine the variable in this study?
c. Determine the appropriate null and alternative hypotheses, in words and in symbols.
d. Compute the test statistic and p-value.
e. Would you reject the null hypothesis at the .10 significance level? Explain.
f. Write down a one-sentence conclusion to the student, summarizing what the data reveal about whether her dog Muffin tends to chase her blue ball more often than her red ball. Include an explanation of what the p-value means in the context of this study.