A certain drug is used to treat asthma. In a clinical trial of the drug, 27 of 281 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 11% 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<0.11 z=−0.745473572 p=0.2279927409 p=0.0960854093 n=281 a. Is the test two-tailed, left-tailed, or right-tailed? Two-tailed test Left-tailed test Right tailed test b. What is the test statistic? z=nothing (Round to two decimal places as needed.) c. What is the P-value? P-value=nothing (Round to four decimal places as needed.) d. What is the null hypothesis, and what do you conclude about it? Identify the null hypothesis. A. H0: p>0.11 B. H0: p<0.11 C. H0: p≠0.11 D. H0: p=0.11 Decide whether to reject the null hypothesis. Choose the correct answer below. A. Reject the null hypothesis because the P-value is greater than the significance level, α. B. Fail to reject the null hypothesis because the P-value is greater than the significance level, α. C. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, α. D. Reject the null hypothesis because the P-value is less than or equal to the significance level, α. e. What is the final conclusion? A. There is not sufficient evidence to warrant rejection of the claim that less than 11% of treated subjects experienced headaches. B. There is sufficient evidence to support the claim that less than 11% of treated subjects experienced headaches. C. There is sufficient evidence to warrant rejection of the claim that less than 11% of treated subjects experienced headaches. D. There is not sufficient evidence to support the claim that less than 11% of treated subjects experienced headaches.

A certain drug is used to treat asthma. In a clinical trial of the drug, 27 of 281 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 11% 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<0.11 z=−0.745473572 p=0.2279927409 p=0.0960854093 n=281 a. Is the test two-tailed, left-tailed, or right-tailed? Two-tailed test Left-tailed test Right tailed test b. What is the test statistic? z=nothing (Round to two decimal places as needed.) c. What is the P-value? P-value=nothing (Round to four decimal places as needed.) d. What is the null hypothesis, and what do you conclude about it? Identify the null hypothesis. A. H0: p>0.11 B. H0: p<0.11 C. H0: p≠0.11 D. H0: p=0.11 Decide whether to reject the null hypothesis. Choose the correct answer below. A. Reject the null hypothesis because the P-value is greater than the significance level, α. B. Fail to reject the null hypothesis because the P-value is greater than the significance level, α. C. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, α. D. Reject the null hypothesis because the P-value is less than or equal to the significance level, α. e. What is the final conclusion? A. There is not sufficient evidence to warrant rejection of the claim that less than 11% of treated subjects experienced headaches. B. There is sufficient evidence to support the claim that less than 11% of treated subjects experienced headaches. C. There is sufficient evidence to warrant rejection of the claim that less than 11% of treated subjects experienced headaches. D. There is not sufficient evidence to support the claim that less than 11% of treated subjects experienced headaches.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

A certain drug is used to treat asthma. In a clinical trial of the drug,

281

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

11%

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<0.11
	z=−0.745473572
	p=0.2279927409
	p=0.0960854093
	n=281

a. Is the test two-tailed, left-tailed, or right-tailed?

Two-tailed test

Left-tailed test

Right tailed test

b. What is the test statistic?

z=nothing

(Round to two decimal places as needed.)

c. What is the P-value?

P-value=nothing

(Round to four decimal places as needed.)

d. What is the null hypothesis, and what do you conclude about it?

Identify the null hypothesis.

H0: p>0.11

H0: p<0.11

H0: p≠0.11

H0: p=0.11

Decide whether to reject the null hypothesis. Choose the correct answer below.

Reject

the null hypothesis because the P-value is

greater than

the significance level,

α.

Fail to reject

the null hypothesis because the P-value is

greater than

the significance level,

α.

Fail to reject

the null hypothesis because the P-value is

less than or equal to

the significance level,

α.

Reject

the null hypothesis because the P-value is

less than or equal to

the significance level,

α.

e. What is the final conclusion?

There

is not

sufficient evidence to warrant rejection of the claim that less than

11%

of treated subjects experienced headaches.

There

sufficient evidence to support the claim that less than

11%

of treated subjects experienced headaches.

There

sufficient evidence to warrant rejection of the claim that less than

11%

of treated subjects experienced headaches.

There

is not

sufficient evidence to support the claim that less than

11%

of treated subjects experienced headaches.

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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