Question

1. In a clinical​ trial, 22 out of 855 patients taking a prescription drug daily complained of flulike symptoms. Suppose that it is known that 2.2​% of patients taking competing drugs complain of flulike symptoms. Is there sufficient evidence to conclude that more than 2.2​% of this​ drug's users experience flulike symptoms as a side effect at the a= 0.01level of​ significance?

a. Because np0(1-p0) = BLANK (<,>,=,≠) 10, the sample size is (less than, grater than) 5% of the population​ size, and the sample (is given to not be random,is given to be random,cannot be reasonably assumed to be random, can be reasonably assumed to be random) the requirements for testing the hypothesis (are, are not) satisfied.

b. What are the null and alternative​ hypotheses?

H0:(μ,p,o) (<,>,=,≠) BLANK versus H1: (μ,p,o) (<,>,=,≠) BLANK

c. Find the test​ statistic, Z0.

Z0=

d. Find the​ P-value.

e. Choose the correct conclusion below.

A. Since ​P-value <a​, reject the null hypothesis and conclude that there is sufficient evidence that more than 2.2​%

of the users experience flulike symptoms.

B. Since ​P-value>a​, reject the null hypothesis and conclude that there is not sufficient evidence that more than 2.2​%

of the users experience flulike symptoms.

C. Since

​P-value>a​, do not reject the null hypothesis and conclude that there is not sufficient evidence that more than 2.2​% of the users experience flulike symptoms.

D. Since ​P-valuel< a​, do not reject the null hypothesis and conclude that there is sufficient evidence that more than 2.2% of the users experience flulike symptoms.

2. To test H0:o=1.7 versus H1:>1.7, a random sample of size n=16 is obtained from a population that is known to be normally distributed.

(a) If the sample standard deviation is determined to be s=1.8​, compute the test statistic.

​(b) If the researcher decides to test this hypothesis at the a=0.05 level of​ significance, use technology to determine the P-value.

​(c) Will the researcher reject the null​ hypothesis?

a. The test statistic is

b. The​ P-value is

c.) Since the​ P-value is (less, greater) than the level of​ significance, the researcher (will not, will) reject the null hypothesis H0:o=1.7.

Answer 1