It is reported that the average American eats out at a restaurant 5.9 times per week. A random sample of 40 Americans showed that the average amount of times they ate out at a restaurant per week was...

It is reported that the average American eats out at a restaurant 5.9 times per week. A random sample of 40 Americans showed that the average amount of times they ate out at a restaurant per week was 5.1 times with a standard deviation of 1.7.  Is there enough evidence at the 5% level that the average American eats out less than 5.9 times per week?

Set up the hypothesis test with Ho and Ha:

a) Ho: p = 5.9%. The proportion of amount of times Americans eat out at a restaurant per week is 5.9%. Ha: p < 5.9%.="" the="" proportion="" of="" amount="" of="" times="" americans="" eat="" out="" at="" a="" restaurant="" per="" week="" is="" less="" than="">

b) Ho: u = 5.1. The average amount of times Americans eat out at a restaurant per week is 5.1. Ha: u < 5.1.="" the="" average="" amount="" of="" times="" americans="" eat="" out="" at="" a="" restaurant="" per="" week="" is="" less="" than="">

c) Ho: u = 5.9. The average amount of times Americans eat out at a restaurant per week is 5.9. Ha: u < 5.1.="" the="" average="" amount="" of="" times="" americans="" eat="" out="" at="" a="" restaurant="" per="" week="" is="" less="" than="">

d) Ho: u = 5.9. The average amount of times Americans eat out at a restaurant per week is 5.9. Ha: u < 5.9.="" the="" average="" amount="" of="" times="" americans="" eat="" out="" at="" a="" restaurant="" per="" week="" is="" less="" than="">