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Question Set 1_F:
We are going to construct a confidence interval to estimate the
population proportion of all Pennsylvanian adults who own an
iPhone.
First, we must determine if the normal approximation assumptions
are met to compute a confidence interval.


Explain if the assumptions are met by filling in the following blanks:
Because and are both greater than or equal to - (type
the number), then the assumptions

Ask by Vaughan Delgado. in the United States
Mar 26,2025

Upstudy AI Solution

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Answer

Because and are both greater than or equal to , the assumptions for the normal approximation are satisfied.

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Mind Expander

Because and are both greater than or equal to 10, then the assumptions are met. This means you can confidently use the normal approximation to create your confidence interval for the population proportion of iPhone owners among Pennsylvanian adults! It’s like making sure your cake has the right ingredients before baking: without checking, you might end up with a flat result!
In statistical terms, the Central Limit Theorem kicks into action here, facilitating our understanding of proportions as sample sizes grow. When using the normal approximation, we capitalize on this theorem, which assures us that the distribution of sample proportions will tend to be normal, as long as certain conditions (like our and ) are satisfied. So, you’re on the right track!

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