A local health center noted that in a sample of 500 patients, 150 were reffered to them by the local hospital.

A local health center noted that in a sample of 500 patients, 150 were referred to them by the local hospital. a. The local health center believes more than 40% of its patients are referred from the local hospital. Formulate the null and alternative hypothesis (10 pts). b. Test the hypothesis using rejection point approach. (15 pts) c. Test the hypothesis using p-value approach. (15 pts) Hint: if a significance level is not given in the problem, it means, you need to decide the significance level you would like to test again. Typically, we test the hypothesis at 5% significance level and 1% significance level. If we reject the null hypothesis at 5% significance level, it means we have found strong evidence against the null hypothesis; if we can also reject the null hypothesis at 1%, it means we have found very strong evidence