Question

9. Nex is a medicine that can be used to reduce the acid produced by the body and heals damage to the esophagus due to acid reflux. The manufacturer of Nex claims that over 94% of patients taking Nex are cured in 8 weeks. In clinical trials, 214 of 225 patients suffering from acid reflux disease were cured after 8 weeks. Test the manufacturer's claim at the significance level α = 0.05.

Answer the following:

Hypothesis test: Ho: p = Answer versus H1: p Answer Answer

Using the p-value method: The test statistic (to two decimal places) is Answer.

The value - p (to four decimal places) is: Answer

The decision is: Answer

Conclusion: Answer

Answer 1

solution:

the given information as follows:

sample size = n = 225

number of patients cured = 214

so sample proportion = = 214/225 = 0.9511

we have to test the claim that the proportion of cures is greater than 94% = 0.94

so null and alternative hypothesis:

significance level =

test statistics:

p value = 1 - value of z to the left of 0.70 = 1 - 0.7580 = 0.242

since p value = 0.242 > ,

decision : so do not rejecting null hypothesis

conclusion:

there is not sufficient evidence to support the claim that the proportion of cure is greater than 94%.