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]