In: Math
Use Minitab to construct an 85% confidence interval for the proportion of all residents in the state that favor a pro-nuclear energy policy. Please show me the steps.
EnergyView
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Objective: To construct 85% confidence interval for the proportion of given data
Summary of provided information:
EnergyView |
Count of EnergyView |
NotNuclear |
122 |
Nuclear |
79 |
Grand Total |
201 |
Below are the steps to construct an 85% confidence interval for the proportion of all residents in the state that favour a pro-nuclear energy policy.
Step1. Open Minitab
Step2. Open the 1 Proportion dialog box
Step3. From the drop-down list, select variable name as EnergyView
Step4. Click on Options button, change confidence level = 85% and method = Normal approximation
Step5. Click on OK.
Below are the results:
Test and CI for One Proportion: EnergyView
Method
Event: EnergyView = Nuclear |
p: proportion where EnergyView = Nuclear |
Normal approximation method is used for this analysis. |
Descriptive Statistics
N |
Event |
Sample p |
85% CI for p |
201 |
79 |
0.393035 |
(0.343442, 0.442628) |
Test
Null hypothesis |
H₀: p = 0.5 |
Alternative hypothesis |
H₁: p ≠ 0.5 |
Interpretation of Results:
The null hypothesis states that the proportion of residents that favour a pro-nuclear energy policy equals 0.5.
And the sample proportion = 0.393035
85% CI for proportion = (0.343442, 0.442628)