Math  /  Data & Statistics

QuestionWe poll 450 people and find that 40%40 \% favor Candidate S. In order to estimate with 90%90 \% confidence the percent of ALL voters would vote for Candidate S, we should use: 2-SampZInt 2-PropZInt TInterval 1-PropZInt 2-SampTInt ZInterval

Studdy Solution

STEP 1

1. We are estimating the proportion of a population based on a sample.
2. The sample size is 450 people.
3. The sample proportion is 40%40\% or 0.400.40.
4. We want a confidence interval for a single population proportion.

STEP 2

1. Identify the correct statistical method for estimating a population proportion.
2. Justify the choice based on the problem's requirements.

STEP 3

Identify the correct statistical method for estimating a population proportion.
For estimating the proportion of a single population, the appropriate method is the "1-PropZInt" (One-Proportion Z-Interval). This method is used to construct a confidence interval for a population proportion based on a sample proportion.

STEP 4

Justify the choice based on the problem's requirements.
Since we are dealing with a single sample proportion (40% of 450 people favor Candidate S) and want to estimate the proportion of all voters with a 90% confidence level, the "1-PropZInt" is the correct choice. Other options such as "2-SampZInt", "2-PropZInt", "TInterval", "2-SampTInt", and "ZInterval" are used for different types of data or comparisons.
The correct method to use is:
1-PropZInt \boxed{\text{1-PropZInt}}

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