Question

Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the claim, the null and alternative hypotheses, test statistic, critical value(s), P-value and compare to alpha, and state the final conclusion that addresses the original claim.
INCLUDE A DRAWING OF THE NORMAL CURVE THAT SHOWS THE LOCATION OF THE CRITICAL AREAS AND THE LOCATION OF THE TEST STATISTIC. DO THIS FOR PROBLEMS 1 – 5.

1. (40 points) A certain drug can be used to reduce the acid produced by the body and heal damage caused to the esophagus due to acid reflux. The manufacturer of the drug claims that 94% of patients taking the drug are healed within 8 weeks. In clinical trials, 212 of 235 patients suffering from acid reflux disease were healed after 8 weeks. Test the manufacturer’s claim at α = 0.02 level of significance.

Steps Included in Hypothesis Testing

Statement of the claim.

___________________________________________________________________________________________

H0: ______________________________

H1: ______________________________
Determine the distribution that will be used: normal z distribution, or the student t distribution.

_________________________________________________________________________________________
Draw the graph of the distribution and identify the critical values based on the confidence level. Shade critical region.

Calculate the test statistic and locate it on the graph drawn in step above.

Use your calculator to determine the P-Value. Compare the P-Value to α
Based on the results of the above two steps: reject the null hypothesis or fail to reject the null hypothesis

MOST IMPORTANT: State in simple nontechnical terms a final conclusion that addresses the original claim.

____________________________________________________________________________________________ ____________________________________________________________________________________________

Answer 1

The shaded are is the critical region

Also, the statistic value and the critical values are on the following graph:

(The second decision rule is based on the critical value).