Activity #5:(10 Points) Side Effects: In clinical trials of the allergy medicine Clarinex (5 mg), 3307 allergy sufferers were randomly assigned to either a Clarinex group or a placebo group.It was reported that 50 out of 1655 individuals in the Clarinex group and 31 out of 1653 individuals in the placebo group experienced dry mouth as a side effect of their respective treatments.Does the sample evidence suggest that the proportion of individuals experiencing dry mouth is greater for those taking Clarinex than for those taking a placebo at the 0.05 level of significance?

Perform a hypothesis test and calculate a confidence interval including each of the following steps:

STEP 1:Type of Test and Requirements (2 points):

State the type of test that is appropriate for the problem and why.

Explain how each of the Requirements are met for this problem.

STEP 2:Hypotheses (2 points):

State the question you are investigating

Write the Null and Alternative hypothesis in symbols (use correct symbols - these are in the equation editor in Word) and in words.

STEP 3:Mechanics (2 points):Use the Calculator or other technology

Include in your answer the type of test and values you entered

Include your results (test statistic, p-value)

STEP 4:Conclusion (2 points):State your conclusion

Include reject or fail to reject the null hypothesis

Write your conclusion in terms of the problem context (and the p-value).

STEP 5:Confidence Interval (2 points):

Find the appropriate confidence interval that matches the test and significance level for each problem.One-tailed test confidence level is 1-2(significance level) and two-tailed test confidence level is 1 - significance level.

Explain how the results of the confidence interval support your hypothesis test conclusion in STEP 4.(Does the interval contain the null hypothesis?)

NOTE:In Chapters 10 and 11, we have performed hypothesis tests of the following type:

One Proportion Test

Two Proportion Test

One Mean Test

Two Independent Means Test

Matched Pairs (or Dependent Means) Test