Use the z* score to find the 95% confidence interval: (to 3 decimals) Based on this we: O Reject the null hypothesis Fail to reject the null hypothesis to
Use the z* score to find the 95% confidence interval: (to 3 decimals) Based on this we: O Reject the null hypothesis Fail to reject the null hypothesis to
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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Transcribed Image Text:"Trydint" bubble-gum company claims that 4 out of 10 people prefer their gum to "Eklypse". Test their claim
at the 95 confidence level.
The null and alternative hypothesis in symbols would be:
Ο Η : μ 2 0.4
Hy:μ < 0.4
O Ho:p> 0.4
H₁:p < 0.4
O Ho: p = 0.4
H₁:p / 0.4
Ο Ho: μ = 0.4
H: μ + 0.4
O Ho:p ≤ 0.4
H₁ p > 0.4
Ο Ho: μ < 0.4
H : μ > 0.4
The null hypothesis in words would be:
O The average of people that prefer Trydint gum is 0.4.
The proportion of people in a sample that prefers Trydint gum is 0.4.
O The proportion of all people that prefer Trydint gum is less than 0.4.
O The proportion of all people that prefer Trydint gum is 0.4
O The proportion of all people that prefer Trydint gum is greater than 0.4.
O The average of people that prefer Trydint gum is not 0.4.
O The proportion of people in a sample that prefer Trydint gum is not 0.4
Based on a sample of 100 people, 19 said they prefer "Trydint" gum to "Eklypse".
The point estimate (statistic) is:
(to 3 decimals)
Percentage Confidence
z*-Value
80
1.28
90
1.645
95
1.96
98
2.33
99
2.58
p. (1-p)
The Standard Error can be found using SE
=
n
Use the z* score to find the 95% confidence interval:
(to 3 decimals)
Based on this we:
O Reject the null hypothesis
O Fail to reject the null hypothesis
to
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