18. A certain drug is used to treat asthma. In a clinical trial of the drug, 27 of 282 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 9% of treated subjects experienced headaches. Use the normal distribution as an approximation to the binomial distribution and assume a 0.01 significance level to complete parts (a) through (e) below. a. Is the test two-tailed, left-tailed, or right-tailed? OTwo-tailed test O Right tailed test O Left-tailed test b. What is the test statistic? Z= (Round to two 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? Identify the null hypothesis. OA. Ho: p<0.09 OB. Ho: p>0.09 OC. Ho: p=0.09 O D. Ho: p=0.09 Decide whether to reject the null hypothesis. Choose the correct answer below. O A. Reject the null hypothesis because the P-value is greater than the significance level, a O B. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, c. O C. Fail to reject the null hypothesis because the P-value is greater than the significance level, c. O D. Reject the null hypothesis because the P-value is less than or equal to the significance level, c. e. What is the final conclusion? OA. There is not sufficient evidence to support the claim that less than 9% of treated subjects experienced headaches. O B. There is sufficient evidence to warrant rejection of the claim that less than 9% of treated subjects experienced headaches. O C. There is sufficient evidence to support the claim that less than 9% of treated subjects experienced headaches. OD. There is not sufficient evidence to warrant rejection of the claim that less than 9% of treated subjects experienced headaches. 1-Prop2Test prop <0.09 z=0.337092049 p=0.6319762445 A p=0.0957446809 n=282

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

A certain drug is used to treat asthma. In a clinical trial of the drug, 27 of 282 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 9% of treated subjects experienced headaches. Use the normal distribution as an approximation to the binomial distribution and assume a 0.01 significance level to complete parts (a) through (e) below.

18. A certain drug is used to treat asthma. In a clinical trial of the drug, 27 of 282 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 9% of treated subjects experienced headaches. Use the normal distribution as an approximation to the binomial
distribution and assume a 0.01 significance level to complete parts (a) through (e) below.
a. Is the test two-tailed, left-tailed, or right-tailed?
OTwo-tailed test
O Right tailed test
O Left-tailed test
b. What is the test statistic?
Z=
(Round to two 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?
Identify the null hypothesis.
O A. Ho: p<0.09
O B. Ho:p> 0.09
OC. Ho: p*0.09
O D. Ho: p=0.09
Decide whether to reject the null hypothesis. Choose the correct answer below.
O A. Reject the null hypothesis because the P-value is greater than the significance level, c.
O B.
Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, c.
O C.
Fail to reject the null hypothesis because the P-value is greater than the significance level, c.
O D. Reject the null hypothesis because the P-value is less than or equal to the significance level, c.
e. What is the final conclusion?
O A. There is not sufficient evidence to support the claim that less than 9% of treated subjects experienced headaches.
O B. There is sufficient evidence to warrant rejection of the claim that less than 9% of treated subjects experienced headaches.
O C. There is sufficient evidence to support the claim that less than 9% of treated subjects experienced headaches.
O D. There is not sufficient evidence to warrant rejection of the claim that less than 9% of treated subjects experienced headaches.
1-Prop2Test
prop<0.09
z=0.337092049
p=0.6319762445
p=0.0957446809
n = 282

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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