Question

Check whether each of the conditions is met for calculating a confidence interval for the population proportion

Salty chips A quality control inspector takes a random sample of $25$ bags of potato chips from the thousands of bags filled in an hour. Of the bags selected, $3$ had too much salt.

Short answer

The condition which is not met is that of normality.

Step-by-step solution

Given Information

It is given that $n=25$

Population is thousand of bags of potato.

Explanation

• Condition of Random Selection: As sample is SRS, this condition is satisfied.
• Less than $10\%$ of population: role="math" localid="1654278677916" $25$is less than $10\%$of population (thousand of population bags)
• Number of success and failure should be $\ge 10$: No of success are $3<10$and failure is $25-3=22\ge 10$. This condition is not met.

All conditions are not met.