Question

Don't argue! A Gallup poll report revealed that $72\%$of teens said they seldom or never argue with their friends. $3$Yvonne wonders whether this result holds true in her large high school, so she surveys a random sample of $150$students at her school.

state appropriate hypotheses for performing a significance test. Be sure to define the parameter of interest

Short answer

$H_0:p=72\%=0.72$

$H_0:p=72\%=0.72$

Step-by-step solution

Step 1:Given information

Don't argue! A Gallup poll report revealed that $72\%$of teens said they seldom or never argue with their friends. $3$ Yvonne wonders whether this result holds true in her large high school, so she surveys a random sample of $150$ students at her school.

Step 2:Explaination

$\text{Claim is proportion is}72\%\text{.}$

The null hypothesis statement is that the population value is equal to the value given in the claim:

$H_0:p=72\%=0.72$

The claim is either the null hypothesis or the alternative hypothesis. The null hypothesis statement is that the population proportion is equal to the value given in the claim. If the null hypothesis is the claim, then the alternative hypothesis statement would be the opposite of the null hypothesis.

$H_a:p\ne 0.72$