Solutiona Set Up Hypothesis Under The Null Hypothesis H0P3

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Solution

a)

Set Up Hypothesis
Under The Null Hypothesis H0:P=.38
Under The Alternate Hypothesis H1: P>0.38
Test Statistic
No. Of Success chances Observed (x)=6
Number of objects in a sample provided(n)=10
No. Of Success Rate ( P )= x/n = 0.6
Success Probability   ( Po )=0.38
Failure Probability ( Qo) = 0.62
we use Test Statistic (Z) for Single Proportion = P-Po/Sqrt(PoQo/n)
Zo=0.6-0.38/(Sqrt(0.2356)/10)
Zo =1.43
| Zo | =1.43
Critical Value
The Value of |Z ?| at LOS 0.05% is 1.64
We got |Zo| =1.433 & | Z ? | =1.64
Make Decision
Hence Value of |Zo | < | Z ? | and Here we Do not Reject Ho
P-Value: Right Tail - Ha : ( P > 1.43329 ) = 0.07589
Hence Value of P0.05 < 0.07589,Here We Do not Reject Ho

No, we dont have enough evidence that proportion rate in iceland is higher