\"Trydint\" bubble-gum company claims that 5 out of 10 people prefer their gum t
ID: 3065236 • Letter: #
Question
"Trydint" bubble-gum company claims that 5 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:
H0:p0.5H0:p0.5
H1:p<0.5H1:p<0.5
H0:p=0.5H0:p=0.5
H1:p0.5H1:p0.5
H0:0.5H0:0.5
H1:>0.5H1:>0.5
H0:0.5H0:0.5
H1:<0.5H1:<0.5
H0:=0.5H0:=0.5
H1:0.5H1:0.5
H0:p0.5H0:p0.5
H1:p>0.5H1:p>0.5
The null hypothesis in words would be:
The proportion of all people that prefer Trydint gum is greater than 0.5.
The proportion of all people that prefer Trydint gum is 0.5
The proportion of all people that prefer Trydint gum is less than 0.5.
The average of people that prefer Trydint gum is not 0.5.
The average of people that prefer Trydint gum is 0.5.
The proportion of people in a sample that prefers Trydint gum is 0.5.
The proportion of people in a sample that prefer Trydint gum is not 0.5
Based on a sample of 360 people, 161 said they prefer "Trydint" gum to "Eklypse".
The point estimate is: (to 3 decimals)
The 95 % confidence interval is: to (to 3 decimals)
Based on this we:
Reject the null hypothesis
Fail to reject the null hypothesis
Box 1: Select the best answer
Box 2: Select the best answer
Box 3: Enter your answer as an integer or decimal number. Examples: 3, -4, 5.5172
Enter DNE for Does Not Exist, oo for Infinity
Box 4: Enter your answer as an integer or decimal number. Examples: 3, -4, 5.5172
Enter DNE for Does Not Exist, oo for Infinity
Box 5: Enter your answer as an integer or decimal number. Examples: 3, -4, 5.5172
Enter DNE for Does Not Exist, oo for Infinity
Box 6: Select the best answer
Explanation / Answer
The null and alternative hypothesis in symbols would be:
H0:p=0.5
H1:p0.5
The null hypothesis in words would be:
The proportion of all people that prefer Trydint gum is 0.5
The point estimate is ; 161/360 = 0.45
z value at 95% = 1.96
CI = P +/- z * sqrt(p * (1-p)/n)
= 0.45 +/- 1.96 * sqrt(0.45 * 0.55/360)
= (0.40 ,0.50)
Fail to reject the null hypothesis.because 0.45 lie in the confidence interval
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