Question

# Suppose 203 subjects are treated with a drug that is used to treat pain and 55...

Suppose 203 subjects are treated with a drug that is used to treat pain and 55 of them developed nausea. Use a 0.05 significance level to test the claim that more than 20% of users develop nausea. Identify the null and alternative hypotheses for this test. Choose the correct answer below. O A. Ho: p=0.20 H:p<0.20 OB. Ho:p>0.20 H: p= 0.20 © C. Ho: p = 0.20 H:p*0.20 OD. Ho: p=0.20 H:p>0.20 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is (Round to two decimal places as needed.)
Identify the P-value for this hypothesis test. The P-value for this hypothesis test is (Round to three decimal places as needed.) Identify the conclusion for this hypothesis test. O A. Fail to reject Ho. There is not sufficient evidence to warrant support of the claim that more than 20% of users develop nausea. O B. Reject Ho. There is sufficient evidence to warrant support of the claim that more than 20% of users develop nausea. O C. Reject Ho. There is not sufficient evidence to warrant support of the claim that more than 20% of users develop nausea. O D. Fail to reject Ho. There is sufficient evidence to warrant support of the claim that more than 20% of users develop nausea.
The test statistic of z = 2.69 is obtained when testing the claim that p#0.402. a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. Find the P-value. c. Using a significance level of a = 0.05, should we reject He or should we fail to reject He? Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. a. This is a test. b. P-value = (Round to three decimal places as needed.) c. Choose the correct conclusion below. O A. Reject Ho. There is sufficient evidence to support the claim that p*0.402. O B. Fail to reject Ho. There is sufficient evidence to support the claim that p#0.402. OC. Fail to reject Ho. There is not sufficient evidence to support the claim that p*0.402. OD. Reject Ho. There is not sufficient evidence to support the claim that p=0.402.

Solution :

Given that ,

n = 203

x = 55

The null and alternative hypothesis is

H0 : p = 0.20

Ha : p >  0.20

This is the right tailed test .

= x / n = 55 / 203 = 0.2709

P0 = 20% = 0.20

1 - P0 = 1 - 0.20 = 0.8

Test statistic = z

= - P0 / [P0 * (1 - P0 ) / n]

= 0.2709 - 0.20 / [0.20 (1 - 0.20) / 203 ]

= 2.527

The test statistic for the hypothesis = 2.53

P-value = 0.0057

The P-value for the hypothesis = 0.006

= 0.05

0.006 < 0.05

P-value <

Reject the null hypothesis .

Conclusion : - B. Reject Ho.There is sufficient evidence to warrant support of the claim that more than 20% of users devers nausea.

Given that ,

The null and alternative hypothesis is

H0 : p = 0.402

Ha : p 0.402

This is the two tailed test .

Test statistic = z = 2.69

P-value = 0.0072

The P-value = 0.007

= 0.05

0.007 < 0.05

P-value <

Reject the null hypothesis .

Conclusion : - Reject Ho.There is sufficient evidence to support the claim that p 0.402

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