Question

A medical trial is conducted to test whether or not a new medicine reduces cholesterol by$25\%$.State the null and alternative hypotheses.

Short answer

Null hypothesis is$\mathrm{p}\le 0.25$

Alternative hypothesis is$\mathrm{p}>0.25$.

Step-by-step solution

Introduction

The null hypothesis states that there is no difference between a proportion and the proportion of the population.

The alternative hypothesis is a population claim that is in conflict with null hypotheses.

Explanation

The reduced cholesterol level is not more than$25\%$ meansthat is null hypotheses.

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

So,

${\mathrm{H}}_0:\mathrm{p}\le 0.25.$

Opposition to the null hypotheses is alternative hypotheses.

That is denoted by${\mathrm{H}}_1$.

So,

Reduces cholesterol is more than$25\%$is ,

${\mathrm{H}}_1:\mathrm{p}>0.25$