The Massachusetts Department of Public Health has found that approximately 24.3% of Americans have experienced shellfish-based food allergies. Legal Seafood restaurant in Boston surveys 68 diners, of whom 18 have experienced such allergies. Is the prevalence of shellfish-based food allergies among those dining at Legal Seafood different than what the Massachusetts Department of Public Health claims? Run the appropriate test at the 5% level of significance.
Step 1. Set up hypotheses and determine level of significance
Step 2. Select the appropriate test statistic
Step 3. Set up decision rule
Step 4. Compute the test statistic
Step 5. Conclusion