A nutrition label for Oriental Spice states that one package of the sauce has 1,190 milligrams of sodium. To determine if the label is accurate, the FDA randomly selects 200 packages of Oriental Spice Sauce and determines the sodium content. The sample has an average of 1,167.34 milligrams of sodium per package with a sample standard deviation of 252.94 mg
a. Find the p-value for the test of hypothesis that the sodium content is different than the nutrition label states.
b. Is the sufficient evidence to reject the null hypothesis at a significance level of 0.01?