Q.33 - The Practice of Statistics for AP

Question

Check that the conditions for carrying out a one-sample z test for the population proportion p are met. Lefties Simon reads a newspaper report claiming that 12 % of all adults in the United States are lefthanded. He wonders if 12% of the students at his large public high school are left-handed. Simon chooses an SRS of 100 students and records whether each student is right- or left-handed.

Step-by-Step Solution

Answer

The conditions for carrying out a one-sample z test for the population proportion p are met.

Step 1: Introduction

Population Survey tries to decide the segment attributes and business status of all people of a family who are of working age.

Step 2: Explanation

the sample size is n =$100$

Probability of the adults in the United States that are lefthanded p = $12\%$

population proportion is $12\%=0.12$

The number of successes = n$\times$p

$=100\times 0.12=12$

The number of failures = n($1$-p)

$=100\times (1-0.12)=88$

The success and failures are larger than ten. Hence the normal condition is satisfied.

The conditions for carrying out a one-sample z test for the population proportion p are met.