In clinical trials of the allergy medicine Clarinex(5 mg), it was reported that 50 out of1,600

individuals in the Clarinex group and 33 out of1,600 individuals in the placebo group experienced dry mouth as a side effect of their respective treatments. Is the proportion of individuals experiencing dry mouth greater for those taking Clarinex than for those taking a placebo at the = 0.05 level ofsignificance?

a. State the Null and Alternative Hypotheses.

A.

H0:1=2,H1:1>2

B.

H0:=0,H1:>0

C.

H0:p1=p2,H1:p1>p2

D.

H0:1=2,H1:1>2

E.

H0:d=0,H1:d>0

b. Calculate the Test Statistic.

A.

2=67.505

B.

t= 1.891

C.

t= 2.604

D.

z= 2.604

E.

z= 1.891

c. Calculate theP-value.

A.

P= 0.9954

B.

P= 0.0293

C.

P= 0.0094

D.

P= 0.9707

E.

P= 0.0259

d. State the result of the hypothesis test- the Decision.

A.

The researchers should reject the null hypothesis.

B.

The researchers should accept the null hypothesis.

C.

The researchers should reject the alternative hypothesis.

D.

The researchers do not have enough information to make a decision.

E.

The researchers should not reject the null hypothesis.

e. State the Conclusion of the hypothesis test.

A.

The researchers can conclude that the placebo causes dry mouth.

B.

The researchers can conclude that Clarinex causes dry mouth.

C.

The researchers have no idea what this study means.

D.

The researchers can conclude that Clarinex does not cause dry mouth.

E.

The researchers do not have sufficient evidence to draw a conclusion.