Q.2 - The Practice of Statistics for AP

Question

A Gallup Poll report on a national survey of 1028 teenagers revealed that 72% of teens said they seldom or never argue with their friends. Yvonne wonders whether this national result would be true in her large high school. So she surveys a

a random sample of 150 students at her school.

Step-by-Step Solution

Answer

The total population of teens is $0.72$ for null hypothesis and the population is not equal to $0.72$ for alternative hypothesis.

Step 1: introduction

Given,

Teens that said they seldom or never argue with their friends is$72\%$

Sample size is $150$$150$

Using null and alternative hypotheses we calculate.

Step 2: explanation

Population value is$72\%$as per the null hypothesis

$\Rightarrow H_0:p=0.72$

Population value is not $72\%$as per the alternative hypothesis

$\Rightarrow H_a:p\ne 0.72$ 

The total population of teens is $0.72$ for null hypothesis and the population is not equal to $0.72$ for alternative hypothesis.