Answer:

And the distribution for the sample proportion is given by;

And we can find the mean and deviation for the sample proportion:
[te]\mu_{\hat p}= 0.36[/tex]

And we can use the z score formula given by:


And we can use the normal distribution table and we got:

Explanation:
For this case we know that the sample size is n =195 and the probability of success is p=0.36.
We want to find the following probability:

And the distribution for the sample proportion is given by;

And we can find the mean and deviation for the sample proportion:


And we can use the z score formula given by:


And we can use the normal distribution table and we got:
