State the appropriate null and alternate hypotheses the hy

-State the appropriate null and alternate hypotheses.

_______________

_______________

-the hypothesis test is a _____________tailed test.

-compute the p value. Round the answer to four decimal places. p value = _______________

-Determine whether to reject H0

-State a conclusion

Solution

Z-Test For Proportion
Set Up Hypothesis
Under The Null Hypothesis H0:P=0.56
Alternative, Differ from 56% H1: P!=0.56
Test Statistic
No. Of Success chances Observed (x)=59
Number of objects in a sample provided(n)=82
No. Of Success Rate ( P )= x/n = 0.72
Success Probability ( Po )=0.56
Failure Probability ( Qo) = 0.44
we use Test Statistic (Z) for Single Proportion = P-Po/Sqrt(PoQo/n)
Zo=0.71951-0.56/(Sqrt(0.2464)/82)
Zo =2.91
| Zo | =2.91
Critical Value
The Value of |Z | at LOS 0.01% is 2.58
We got |Zo| =2.91 & | Z | =2.58
Make Decision
Hence Value of | Zo | > | Z | and Here we Reject Ho
P-Value: Two Tailed ( double the one tail ) - Ha : ( P != 2.90992 ) = 0.00362
Hence Value of P0.01 > 0.0036,Here we Reject Ho

We conclude that it is Differ from 56%

State the appropriate null and alternate hypotheses.
H0:P=0.56 , H1:P!=0.56
-the hypothesis test is a ( Z-Test For Proportion )tailed test.
-compute the p value. Round the answer to four decimal places. p value = 0.0036
-State a conclusion, We conclude that it is Differ from 56%