Question

Rating school food Latoya wants to estimate the proportion of the seniors

at her boarding school who like the cafeteria food. She interviews an SRS of $50$of the $175$ seniors and finds that $14$ think the cafeteria food is good.

Short answer

Sample size condition of$10\%$do not meet.

Step-by-step solution

Given Information

The population is $175$.

$n=50$

Explanation

As Latoya selected an SRS of students, condition of random selection is satisfied.

Sample needs to be less than $10\%$of population.

$50$exceeds $10\%$of $175$. Condition do not meet.

Condition which is met is$np=14\ge 10\text{and}n(1-p)=36\ge 10$