Question

Reddit Since the article reported that 56% of business students admitted to cheating at some time during their academic career, you want to establish a hypothesis test to determine if the students at Bayview cheat at a rate less than 56%. What are the appropriate hypotheses for this test?

Answer 1

Answer:

$H_0:p=0.56$

$H_a:p$

Step-by-step explanation:

There are two kinds of hypotheses for statistical test :

1) Null hypotheses : It is a statement regarding the objective of the study  using population parameters such as $\mu,\sigma, p$ and so on.

It always contains  $=,\leq,\geq$ signs.

2) Alternative hypothesis : It is also an statement regarding the objective of the study using population parameter but against the null hypothesis.

It contains $< , > , \neq$ signs.

Let p be the proportion of  business students admitted to cheating at some time during their academic career.

Then, according to the given , we have two statements :

Either $p=0.56$ or $p$'

By using above definition.

Null hypotheses : $H_0:p=0.56$

Alternative hypothesis : $H_a:p$

Hence,  the appropriate hypotheses for this test :

$H_0:p=0.56$

$H_a:p$