Trydint" bubble-gum company claims that 3 out of 10 people prefer their gum to "Eklypse". Test their claim at the 90 confidence level. The null and alternative hypothesis in symbols would be: H0:p≥0.3H0:p≥0.3 H1:p<0.3H1:p<0.3 H0:p=0.3H0:p=0.3 H1:p≠0.3H1:p≠0.3

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Trydint" bubble-gum company claims that 3 out of 10 people prefer their gum to "Eklypse". Test their claim at the 90 confidence level.

The null and alternative hypothesis in symbols would be:

  • H0:p≥0.3H0:p≥0.3
    H1:p<0.3H1:p<0.3
  • H0:p=0.3H0:p=0.3
    H1:p≠0.3H1:p≠0.3
  • H0:μ≥0.3H0:μ≥0.3
    H1:μ<0.3H1:μ<0.3
  • H0:p≤0.3H0:p≤0.3
    H1:p>0.3H1:p>0.3
  • H0:μ≤0.3H0:μ≤0.3
    H1:μ>0.3H1:μ>0.3
  • H0:μ=0.3H0:μ=0.3
    H1:μ≠0.3H1:μ≠0.3





The null hypothesis in words would be:

 

  • The proportion of people in a sample that prefer Trydint gum is not 0.3
  • The proportion of all people that prefer Trydint gum is 0.3
  • The average of people that prefer Trydint gum is not 0.3.
  • The average of people that prefer Trydint gum is 0.3.
  • The proportion of all people that prefer Trydint gum is greater than 0.3.
  • The proportion of all people that prefer Trydint gum is less than 0.3.
  • The proportion of people in a sample that prefers Trydint gum is 0.3.





Based on a sample of 100 people, 25 said they prefer "Trydint" gum to "Eklypse".

The point estimate is:  (to 3 decimals)

The 90 % confidence interval is:  to  (to 3 decimals)

Based on this we:

  • Reject the null hypothesis
  • Fail to reject the null hypothesis
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