Q.1 - The Practice of Statistics for AP

Question

Simon reads a newspaper report claiming that 12% of all adults in the United States are left-handed. 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

Population for the left-handed students is equal to$0.12$according to null hypothesis and not equal to$0.12$according to alternative hypothesis.

Step 1: introduction

Given,

sample size =$100$

left-handed adults in the United States = $12\%$= $0.12$

Whether each student is right- or left-handed is calculated.

Step 2: explanation

The population =$12\%$as per the null hypothesis.

$\Rightarrow H_0:p=0.12$

The population is not equal to$12\%$as per the alternative hypothesis.

$\Rightarrow H_a:p\ne 0.12$

Hence, The population of left-handed students is $0.12$ as per the null hypothesis and the population is not equal to$0.12$as per the alternative hypothesis.