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MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question
"Trydint" bubble-gum company claims that 4 out of 10 people prefer their gum to "Eklypse". Test their claim at the 99 confidence level.
The null and alternative hypothesis in symbols would be:
- H0:p≤0.4H0:p≤0.4
H1:p>0.4H1:p>0.4 - H0:μ≤0.4H0:μ≤0.4
H1:μ>0.4H1:μ>0.4 - H0:p≥0.4H0:p≥0.4
H1:p<0.4H1:p<0.4 - H0:p=0.4H0:p=0.4
H1:p≠0.4H1:p≠0.4 - H0:μ≥0.4H0:μ≥0.4
H1:μ<0.4H1:μ<0.4 - H0:μ=0.4H0:μ=0.4
H1:μ≠0.4H1:μ≠0.4
The null hypothesis in words would be:
- The proportion of all people that prefer Trydint gum is 0.4
- The proportion of people in a sample that prefer Trydint gum is not 0.4
- The proportion of people in a sample that prefers Trydint gum is 0.4.
- The proportion of all people that prefer Trydint gum is less than 0.4.
- The average of people that prefer Trydint gum is not 0.4.
- The proportion of all people that prefer Trydint gum is greater than 0.4.
- The average of people that prefer Trydint gum is 0.4.
Based on a sample of 110 people, 19 said they prefer "Trydint" gum to "Eklypse".
The point estimate is: (to 3 decimals)
The 99 % confidence interval is: to (to 3 decimals)
Based on this we:
- Fail to reject the null hypothesis
- Reject the null hypothesis
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