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for her final project, stacy plans on surveying a random sample of 50 students on whether they plan to go to florida for spring break. from past years, she guesses that about 10% of the class goes. is it reasonable for her to use a normal model for the sampling distribution of the sample proportion? why or why not?



Answer :

It is not reasonable to use a normal model for the sampling distribution of the sample because the data doesn't meet the success or failure consideration.

How to illustrate the information?

The sample has a size of 50 students. The probability that she guesses that about 10% of the class goes is 10%

This will be illustrated as:

1 - p = 1 - 10% = 1 - 0.10 = 0.90

np = 50 × 0.1 = 5. This implies the number of successes.

In this case, the number of successes is less than 10. This is because 5 is less than 10. Therefore, the data doesn't meet the condition.

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