Question

A local school board wants to determine the proportion of households in the district that would support starting the school year a week earlier. They ask a random sample of 100 households whether they would support starting the school year a week earlier, and 43 households responded that they would. The school board plans to construct a 95% confidence interval for the true proportion of households that would support starting the school year a week earlier. Are the conditions for inference met?

A)Yes, the conditions for inference are met.
B)No, the 10% condition is not met.
C)No, the randomness condition is not met.
D)No, the Large Counts Condition is not met.

Answer 1

The conditions for inference is not met in the question due to the fact that the large count condition is not met.

What is the large count condition in statistics?

This is the condition in statistics that states that the numbers of the successes and the failures have to be greater than 10 for there to be a normal distribution.

Using this formula n(1-p) ≥ 10. The probabilioty is 95%, therefore it would be less than 10

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