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?

Respuesta :

Answer:

[tex]H_0:p=0.56[/tex]

[tex]H_a:p<0.56[/tex]

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 [tex]\mu,\sigma, p[/tex] and so on.

It always contains  [tex]=,\leq,\geq[/tex] 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 [tex]< , > , \neq[/tex] 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 [tex]p=0.56[/tex] or [tex]p<0.56[/tex]'

By using above definition.

Null hypotheses : [tex]H_0:p=0.56[/tex]

Alternative hypothesis : [tex]H_a:p<0.56[/tex]

Hence,  the appropriate hypotheses for this test :

[tex]H_0:p=0.56[/tex]

[tex]H_a:p<0.56[/tex]