Please answer Question 1, complete.

QUESTION 1. House prices [15 marks] a) A random sample of 150 residents in one residential area was asked to indicate their preference for one of three different types of houses: 1) detached, 2) semi-detached and 3) bungalow. The results obtained are shown in the table below. Test the null hy- pothesis their preferences are evenly distributed over the three types of houses. Use the appropriate non-parametric test stat- istic and explain in detail your answer and calculations. As part of your answer, clearly explain what your null and altern- ative hypotheses are using the information given here) and the significance level you will use to reject the null. Can we say the preferences for these types of houses are uniform across residents? [5 marks) Table A: Preferences for Types of Houses Detached Semi-Detached Bungalow No. of residents 54 35 61 b) A random sample of 12 housing experts who have more than 10 years of experience have shared their valuation of a one- bedroom flat in a residential area in London. Another ran- dom sample of 10 housing experts with no more than 5 years of experience have shared their valuation of the same flat. We provide you with the valuations of each expert below. A county council would like to know if the median price estimated by the less experienced valuators is lower than the median price estim- ated by the more experienced valuators. Use the appropriate non-parametric test statistic and explain in detail your answer and calculations. As part of your answer, clearly explain what your null and alternative hypotheses are and the significance level you will use to reject the null. Did less experienced valu- ators valuate the flat at a lower price? The table below shows the housing prices estimated by each expert (10 marks]: Table B: Experts with more than 10 years 262,000 293,000 313.000 287,000 274.000 251.000 260,000 272,000 275.000 298,000 326.000 346.000 Table C: Experts with less than 5 years 253,000 282,000 292.000 271.000 268.000 265,000 307,000 313.000 263.000 249.000 Note: No Stata programming is needed for Question 1. QUESTION 2 Crime and Police in the UK [25 marks] On 25 July 2021, The Guardian published an article on UK minis- ters being accused of "hypocrisy" after Boris Johnson said he would be increasing the number of police on the streets. Here you can read the first paragraph of the article: Ministers have been accused of "hypocrisy that knows no bounds'' after Boris Johnson said he would increase efforts to get more police on the street despite having cut the number of frontline officers. The prime minister said the government would redouble our efforts, to continue to put more police out on the street, and to back them all the way!'. He announced that the government would seek to give every victim of crime "a named officer to call ? someone who is immediately on your side. Does it make sense to put more officers on the streets to fight crime? Imagine you are working as a research assistant of the board of ad- visors of the UK Minister of Justice. Your boss asks you to analyse the causal effect of the number of police officers on the streets on the level of crime. Your results will be used to decide if the Ministry QUESTION 1. House prices [15 marks] a) A random sample of 150 residents in one residential area was asked to indicate their preference for one of three different types of houses: 1) detached, 2) semi-detached and 3) bungalow. The results obtained are shown in the table below. Test the null hy- pothesis their preferences are evenly distributed over the three types of houses. Use the appropriate non-parametric test stat- istic and explain in detail your answer and calculations. As part of your answer, clearly explain what your null and altern- ative hypotheses are using the information given here) and the significance level you will use to reject the null. Can we say the preferences for these types of houses are uniform across residents? [5 marks) Table A: Preferences for Types of Houses Detached Semi-Detached Bungalow No. of residents 54 35 61 b) A random sample of 12 housing experts who have more than 10 years of experience have shared their valuation of a one- bedroom flat in a residential area in London. Another ran- dom sample of 10 housing experts with no more than 5 years of experience have shared their valuation of the same flat. We provide you with the valuations of each expert below. A county council would like to know if the median price estimated by the less experienced valuators is lower than the median price estim- ated by the more experienced valuators. Use the appropriate non-parametric test statistic and explain in detail your answer and calculations. As part of your answer, clearly explain what your null and alternative hypotheses are and the significance level you will use to reject the null. Did less experienced valu- ators valuate the flat at a lower price? The table below shows the housing prices estimated by each expert (10 marks]: Table B: Experts with more than 10 years 262,000 293,000 313.000 287,000 274.000 251.000 260,000 272,000 275.000 298,000 326.000 346.000 Table C: Experts with less than 5 years 253,000 282,000 292.000 271.000 268.000 265,000 307,000 313.000 263.000 249.000 Note: No Stata programming is needed for Question 1. QUESTION 2 Crime and Police in the UK [25 marks] On 25 July 2021, The Guardian published an article on UK minis- ters being accused of "hypocrisy" after Boris Johnson said he would be increasing the number of police on the streets. Here you can read the first paragraph of the article: Ministers have been accused of "hypocrisy that knows no bounds'' after Boris Johnson said he would increase efforts to get more police on the street despite having cut the number of frontline officers. The prime minister said the government would redouble our efforts, to continue to put more police out on the street, and to back them all the way!'. He announced that the government would seek to give every victim of crime "a named officer to call ? someone who is immediately on your side. Does it make sense to put more officers on the streets to fight crime? Imagine you are working as a research assistant of the board of ad- visors of the UK Minister of Justice. Your boss asks you to analyse the causal effect of the number of police officers on the streets on the level of crime. Your results will be used to decide if the Ministry