Are charity contributions from rich families in California different from the national average? The national average ...

  

Are charity contributions from rich families in California different from the national average? The national average of charitable contributions of rich families constitutes 1% of their income. Assume that the charitable contributions are
approximately normal with (sigma) = 0.5%. You decide to use a sample size of n = 625 from California. The sample mean of contributions is 1.5% of income of the sampled families.
 

A) Find the probability of type I error.
B) If we fix the level of significance at 5%, what is the power of the test against μ = 2%?
C) What is the probability of type II error?