Question

A certain drug can be used to reduce the acid produced by the body and heal damage to the esophagus due to acid reflux. The manufacturer of the drug claims that more than 94​% of patients taking the drug are healed within 8 weeks. In clinical​ trials, 227 of 239 patients suffering from acid reflux disease were healed after 8 weeks. Test the​ manufacturer's claim at the alpha equals α=0.1 level of significance.

Answer 1

Solution :

This is the right tailed test .

The null and alternative hypothesis is

H₀ : p = 0.94

H_a : p > 0.94

= x / n = 227 / 239 = 0.9498

Test statistic = z

= - P₀ / [P_{0 *} (1 - P₀ ) / n]

= 0.9498 - 0.94 / [(0.94 * 0.06) / 239]

= 0.637

P-value = 0.2619

= 0.1

P-value >

Fail to reject the null hypothesis .

There is not sufficient evidence to suggest that the manufacturer of the drug claims that

more than 94​% of patients taking the drug are healed within 8 weeks.