Chapter 8.2, Problem 29E

To determine

To explain whether the conditions for calculating a confidence interval for the population proportion.

Answer to Problem 29E

The 10% sample size condition does not meet.

Explanation of Solution

Given:

  $n=50$

The population is 175 seniors.

The condition of random selection is satisfied because the Latoya selected an SRS of students.

The sample should be less than 10% of the population. Here, 50 is more than 10% of the 175. Hence, this condition does not meet.

The last condition is, $np=14\ge 10andn(1-p)=36\ge 10$ which is met.