Question

We want to test if it takes fewer than $45$minutes to teach a lesson plan. State the null and alternative hypotheses. Fill in the correct symbol $(=,\ne ,\ge ,\le ,\le ,>)$for the null and alternative hypotheses.

a.${\mathrm{H}}_0:{\mathrm{\mu }}_{-}45$

b.${\mathrm{H}}_{\mathrm{a}}:\mathrm{\mu }-45$

Short answer

a. Null hypotheses is greater than or equal to$45$.

b. Alternative hypotheses is less than$45$.

Step-by-step solution

Introduction

According to the null hypothesis, there is no difference between a proportion and the population's proportion.

The opposition of null hypotheses is stated by the alternative hypothesis

Explanation (part a) 

A lesson plan requires at least$45$minutes to teach is known as null hypotheses.

It is denoted by ${\mathrm{H}}_0$.

So,

${\mathrm{H}}_0:\mathrm{\mu }\ge 45$

Explanation (part b) 

A lesson plan fewer than $45$is known as alternative hypotheses.

It is denoted by ${\mathrm{H}}_{\mathrm{a}}$.

So,

${\mathrm{H}}_{\mathrm{a}}:\mathrm{\mu }<45$