Optimizing One Sample Z-Interval For Population Proportion: A Guide For Proper Conditions And Accurate Estimation.

One Sample Z-Interval for Population Proportion CONDITIONS

1. Random sample or assignment2. 10% Condition n ≤ 1/10(N)3. p̂(n) ≥ 10 and (1-p̂)(n) ≥ 10

The conditions required for using a One Sample Z-Interval for Population Proportion are as follows:

1) Random Sample: The sample should be selected in a random manner to ensure that it is truly representative and unbiased.

2) Independence: Each member of the sample should be independent of the others.

3) Sample Size: The sample size should be large enough to fulfill the requirement of the normal approximation, which is np >= 10 and n(1-p) >= 10.

4) Normal Population: The population should be normally distributed or if the sample size is really large (i.e. greater than or equal to 30), then the distribution of sample proportions should be approximately normal.

If all of these conditions are met, then a One Sample Z-Interval for Population Proportion can be used to estimate the true population proportion with a certain level of confidence.

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