In order to ensure the public's health and safety, state health inspectors are required to rate the cleanliness and quality of all restaurants in the state. Restaurants that consistently score below a certain level often lose their licenses to operate. From a sample of 10 restaurants, two health inspectors give the ratings shown in the accompanying table, where a score of 10 denotes excellence in cleanliness and quality.

a. Using the sign test, specify the competing hypotheses to determine whether the ratings differ between the two health inspectors.
b. Calculate the value of the test statistic.
c. Calculate the p-value.
d. At the 5% significance level, do the data suggest that the ratings differ?

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Inspector A's Rating 9 Inspector B's Rating 9 Restaurant 10 10