A chance sample of visitors to a National Park was interviewed regarding their impressions of the Park.  Of 200 interviewees, 120 said that they would probably make a return visit within 12 months.

a) The National Park is aiming to attain a target of two-thirds of visitors returning within a year. Perform a test to assess whether the sample results support the view that this target is being arrived at.

b) Within the sample, 100 interviewees had visited the National Park on a weekday and had average expenditure of £10.00 with standard deviation £5.00, whilst 100 had visited on a weekend and had average expenditure of £12.50 with standard deviation £4.00.Test the hypothesis that average expenditure on a weekend is greater than on a weekday, by measuring a relevant P-value, and describe your findings.