In: Statistics and Probability
a) H1__________ b) __________ c) __________ d) _______________________________
We frame the null hypothesis
To test the ; we use the Z - Statistic
Where P = Population Propotion = 80% = 0.8
p = Sample Proportion
we know that
Since
Since : So, we Accept at 7% Level of Significant.
Therefore we conclude that
NOTE: To See the Critical Values of Z; we use the Standard Normal area tabulated values which i posted below.
How to see?
If alpha = 7% the confidence interval = 93%
Divide the value 93 with 100. you will get 0.93 and after that divide the value 0.93 with 2; you will get 0.465. Now Search this 0.465 in side the table ( repeating again see inside the table). You will find this at the intersection 6f (1.8, 0,01) which is Zcri value i.e 1.81.
Like this you can find the Zcri for any alpha values.