MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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"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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