Nexium is a drug that can be used to reduce the acid produce

Nexium is a drug that can be used to reduce the acid produced by the body and heal damage to the esophagus due to acid reflux. Suppose the manufacturer of Nexium claims that 95% of patients taking Nexium are healed within 8 weeks. In clinical trials 210 of 224 patients suffering from acid reflux disease were healed after 8 weeks.

(a)Are the criteria for using the normal approximation for testing the proportion of patients healed met? ( np > 10 and n(1-p) > 10)

(a)Test the manufacture’s claim at the level of significance of .02 ( = .02) assume that a sample increased to 400 patients and 370 of these patients were healed within 8 weeks. Is there evidence based on the test statistics that the claims by the company are valid? Set up the hypothesis, and test statistic statements, decision rule and the conclusion

Hypothesis:

Test statistic:

Decision Rule:

(a)Based on the sample of 400 patients and 370 of these patients stated that they were healed, what is the 95% confidence interval for patients being healed within 8 weeks by taking the drug Nexium ?

Solution