"Trydint" bubble-gum company claims that 5 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:
H
0
:
μ
≥
0.5
H0:μ≥0.5
H
1
:
μ
<
0.5
H1:μ<0.5
H
0
:
p
≥
0.5
H0:p≥0.5
H
1
:
p
<
0.5
H1:p<0.5
H
0
:
μ
≤
0.5
H0:μ≤0.5
H
1
:
μ
>
0.5
H1:μ>0.5
H
0
:
p
=
0.5
H0:p=0.5
H
1
:
p
≠
0.5
H1:p≠0.5
H
0
:
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≤
0.5
H0:p≤0.5
H
1
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>
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H1:p>0.5
H
0
:
μ
=
0.5
H0:μ=0.5
H
1
:
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≠
0.5
H1:μ≠0.5
The null hypothesis in words would be:
The proportion of all people that prefer Trydint gum is 0.5
The proportion of all people that prefer Trydint gum is greater than 0.5.
The proportion of all people that prefer Trydint gum is less than 0.5.
The proportion of people in a sample that prefer Trydint gum is not 0.5
The average of people that prefer Trydint gum is 0.5.
The average of people that prefer Trydint gum is not 0.5.
The proportion of people in a sample that prefers Trydint gum is 0.5.
Based on a sample of 290 people, 121 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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