A certain drug is used to treat asthma. In a clinical trial of the drug, 20 of 297 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. Is the test two-tailed, left-tailed, or right-tailed?Left-tailed testRight tailed testTwo-tailed test What is the test statistic?Z=(Round to two decimal places as needed.) What is the P-value?P-value=(Round to four decimal places as needed).What is the null hypothesis, and what do you conclude about it? Identify the null hypothesisHo: p> 0.09Ho: p= 0.09Ho: p< 0.09Ho: p≠ 0.09 1-PropZTestprop <0.09z= - 1.364567077p= 0.0861945792p= 0.0673400673n = 297

Given n=297x=20p0=9%α=0.01 H0:p0=9%=0.09 H1:p<9%=0.09

Answered: Is the test two-tailed, left-tailed, or…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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A certain drug is used to treat asthma. In a clinical trial of the drug, 20 of 297 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.
1. Is the test two-tailed, left-tailed, or right-tailed?
Left-tailed test

Right tailed test

Two-tailed test
1. What is the test statistic?
Z=

(Round to two decimal places as needed.)
1. What is the P-value?
P-value=

(Round to four decimal places as needed).
1. What is the null hypothesis, and what do you conclude about it?
Identify the null hypothesis
1. Ho: p> 0.09
2. Ho: p= 0.09
3. Ho: p< 0.09
4. Ho: p≠ 0.09

1-PropZTest
prop <0.09
z= - 1.364567077
p= 0.0861945792
p= 0.0673400673
n = 297

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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