Question

A popular travel website wants to know the proportion of visitors that prefer warm over cold vacation climates. Viewers are asked to answer "sun" or "snow" to a provided number. Eighty-two percent of the 2,000 people that responded texted "sun." Which condition for inference has NOT been met? (3 points) Group of answer choices N > 10n np ≥ 10 and n(1 - p) ≥ 10 All conditions appear to be met. Inference about a proportion is the objective. The sample is an SRS of the population.

Answer 1

The condition that has NOT been met is "np ≥ 10 and n(1 - p) ≥ 10."

To check the conditions for inference about a proportion, you typically want to ensure that the sample size is sufficiently large. The conditions are:

Random Sampling (SRS): This condition is not explicitly mentioned in the given options, so it's assumed to be met.

Normality of the Sampling Distribution (Approximately Normal): This is usually satisfied when both np and n(1−p) are greater than or equal to 10.

Therefore, the correct answer is: "np ≥ 10 and n(1 - p) ≥ 10"