A certain drug is used to treat asthma. In a clinical trial of the drug, 22 of 271 treated subjects experienced headaches (based on data from the manufacturer). The accompanying calculator display shows results from a test of the claim that less than 10% of treated subjects experienced headaches. Use the normal distribution as an approximation to the binomial distribution and assume a 0.05 significance level to complete parts (a) through (e) below. 1-PropZTest prop <0.1 z -1.032676457 p-0.1508776673 p-0.0811808118 n- 271 a, Is the test two-tailed, left-tailed, or right-tailed? Two-tailed test O Left-tailed test O Right tailed test b. What is the test statistic? (Round tastwo decimal places as needed) c. What is the P-value? P-value = (Round to four decimal places as needed)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A certain drug is used to treat asthma, In a clinical trial of the drug, 22 of 271 treated subiects experienced headaches (based on data from the manufacturer). The accompanying
calculator display shows results from a test of the claim that less than 10% of treated subjects experienced headaches. Use the normal distribution as an approximation to the
binomial distribution and assume a 0.05 significance level to complete parts (a) through (e) below.
1-PropZTest
prop <0.1
z= -1.032676457
p-0.1508776673
p=0.0811808118
n-271
a. Is the test two-tailed, left-tailed, or right-tailed?
O Two-tailed test
O Left-tailed test
O Right tailed test
b. What is the test statistic?
(Round tastwo decimal places as needed.)
c. What is the P-value?
P-value =
(Round to four decimal places as needed.)
d. What is the null hypothesis, and what do you conclude about it?
the null hypothesis.
O A. Ho p=0.1
IS
O B. Ho p<0.1
O C. Ho p>0.1
O D. Ho p#0.1
Decide whether to reject the null hypothesis. Choose the correct answer below.
O A. Fail to reject the null hypothesis because the P-value is greater than the significance level, a
O B. Reject the null hypothesis because the P-value is less than or equal to the significance level, a
O C. Reject the null hypothesis because the P-value is greater than the significance level, a
O D. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, a
e. What is the final conclusion?
Transcribed Image Text:A certain drug is used to treat asthma, In a clinical trial of the drug, 22 of 271 treated subiects experienced headaches (based on data from the manufacturer). The accompanying calculator display shows results from a test of the claim that less than 10% of treated subjects experienced headaches. Use the normal distribution as an approximation to the binomial distribution and assume a 0.05 significance level to complete parts (a) through (e) below. 1-PropZTest prop <0.1 z= -1.032676457 p-0.1508776673 p=0.0811808118 n-271 a. Is the test two-tailed, left-tailed, or right-tailed? O Two-tailed test O Left-tailed test O Right tailed test b. What is the test statistic? (Round tastwo decimal places as needed.) c. What is the P-value? P-value = (Round to four decimal places as needed.) d. What is the null hypothesis, and what do you conclude about it? the null hypothesis. O A. Ho p=0.1 IS O B. Ho p<0.1 O C. Ho p>0.1 O D. Ho p#0.1 Decide whether to reject the null hypothesis. Choose the correct answer below. O A. Fail to reject the null hypothesis because the P-value is greater than the significance level, a O B. Reject the null hypothesis because the P-value is less than or equal to the significance level, a O C. Reject the null hypothesis because the P-value is greater than the significance level, a O D. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, a e. What is the final conclusion?
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