What+is+the+smallest+sample+size+that+guarantees+that+the+margin+of+error+is+less+than+1%+when+constructing+a+96%+confidence+interval+for+a+population+proportion?

Respuesta :

The smallest sample size is 6765.

Sample size willpower is the act of choosing the wide variety of observations or replicates to consist of in a statistical sample. The sample length is a vital characteristic of any empirical study in which the intention is to make inferences about a populace from a pattern.

Pattern size is a term utilized in market research for outlining the number of subjects covered in a sample length. By sample size, we recognize a group of topics that might be decided on by the overall populace and is considered a consultant of the real population for that precise examination.

We want to construct a 30% confidence interval for P with a margin of error is less than 1%.

We use, P == 0.50 for a conservative estimate,

Because there is no estimate of the Proportion Given.

Finding the critical value:

For 90% confidence interval, α = 1-[90] =1-0·3 = 0·1, 0·50, 9/2 = 0.12 = 0.05 and 70.05

valve is 2c = 1.645,

Now, we have, p = 0.5, E = 0.01, Ze 1.645

n = [P. (1 - p)] [ 2a12]"

= [0.5 (1-0.5)] [1.6950.0 01}

= [0.25] [27060-25]

= 6765.0625

≈ 6765

Therefore, The minimum sample size, n=6765

Learn more about the sample size here: https://brainly.com/question/25574075

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