Most difficult question on my practice test. Please help :( I keep getting the wrong answers

9. The following equation was estimated using ordinary least squares with 30 annual observations of UK aggregate data, where: - shoes, is the log of consumer expenditure on shoes at 2020 prices - dis, is the log of aggregate disposable income at 2020 prices - shoecons, is the log of the price of shoes relative to all consumer prices - clothcons, is the log of the price of clothing relative to all consumer prices. estimated model is: shoe = -3.242 + 1.051 dist - 0.247 shoecons, - 0.452clothconst. (1.419) (0.137) (0.130) (0.164) Standard errors are given in parentheses. R2 = 0.876. Note that P(T > 1.706) = 0.05 and P(T > 2.056) = 0.025, where T ~ t26- (a) Test the hypothesis that the coefficient of dist is 1, against a suitable alternative hypothesis, at the 5% significance level. Provide a practical interpretation of your test result. (5 marks) (b) Construct a 95% confidence interval for the coefficient of shoecons, and interpret the interval. Also, comment on whether a 90% confidence interval would be preferable, justifying your view. (5 marks) (c) Write down any assumptions which your results in parts (a) and (b) require. Would you expect these assumptions to hold in practice? Justify your view. (5 marks) (d) What information does this estimated model provide about the demand for shoes in the UK