Select the TWO options that are TRUE statements about survey sampling. Select one or more: D If a survey uses stratication, it must not use clustering as well. D Cluster sampling does not always require there to be a complete list of the whole target population before the sampling can begin. D Stratied sampling generally decreases the sampling error compared to a simple random sample of the same size. D In cluster sampling, it is always best to conne the sampling to one cluster. D Within each stratum in stratied sampling, individuals should be as different as possible from one another with respect to the subject under investigation. The following table gives data from the 2011 UK Census, on a simple random sample of 12 parliamentary constituencies drawn from all the constituencies in England and Wales. The data for each constituency are x, the percentage of households in the constituency where all the residents are of age 65 and over, and y, the percentage of the dwellings in the constituency that are detached houses. Constituency X y Birmingham, Northfield 19.6 8.4 Bolton North East 20.6 15.1 Bolton West 20.8 24.1 Chelsea and Fulham 13.9 1.2 Clwyd West 28.6 43.3 Croydon Central 15.8 7.8 North Swindon 18.3 22.0 Nottingham East 12.0 11.9 Pudsey 21.8 16.5 Rochester and Strood 19.0 14.0 South Holland and The Deepings 26.4 55.1 Wycombe 16.8 25.1 For these data Ex2 = 4796.3, Ey? = 7576.43 and Exy = 5402.7. Choose the option that is closest to the slope of the least squares regression line for these data, rounded to 3 significant figures, treating x as the explanatory variable and y as the response variable. Select one: O 643 249 O 0.387 O 2590 O 0.248 O 2.58 O -29.9Data were collected, using a sample survey, on the inhabitants of a British town. Among other things, the respondents were asked their age and their satisfaction with the shopping opportunities in the local high street. These data were used to construct a contingency table, with 3 age categories for its rows, and 5 categories of satisfaction for its columns. The researchers wanted to use this table to test the null hypothesis that satisfaction with the high street opportunities and age are independent. The x2 test statistic turned out to be 10.29. (You may assume that all the expected values are greater than 5.) Choose the one correct option that describes what the researchers should conclude. Select one: O The null hypothesis is rejected at the 1% significance level. Therefore there is little evidence that satisfaction with high street shopping is related to age. The null hypothesis is rejected at the 5% significance level, but cannot be rejected at the 1% significance level. Therefore there is moderate evidence that satisfaction with high street shopping is related to age. The null hypothesis is rejected at the 5% significance level, but cannot be rejected at the 1% significance level. Therefore there is little evidence that satisfaction with high street shopping is related to age. The null hypothesis cannot be rejected at the 5% significance level. Therefore there is strong evidence that satisfaction with high street shopping is related to age. The null hypothesis cannot be rejected at the 5% significance level. Therefore there is little evidence that satisfaction with high street shopping is related to age. The null hypothesis is rejected at the 1% significance level. Therefore there is strong evidence that satisfaction with high street shopping is related to age.The following table gives data from the 2011 UK Census, on a simple random sample of 10 parliamentary constituencies drawn from all the constituencies in England and Wales. The data for each constituency are x, the total number of full-time students living in the constituency (during term time, in thousands) and y, the total numbers of cars and vans available to all households in the constituency (in thousands). Constituency X y Bermondsey and Old Southwark 17.2 23.5 Bexhill and Battle 4.1 62.0 Birmingham, Perry Barr 10.2 36.5 Bolsover 3.9 50.3 Buckingham 5.0 66.0 Chorley 4.0 54.4 Hyndburn 4.8 42.1 Mitcham and Morden 8.5 34.5 Monmouth 3.8 51.3 Stratford-on-Avon 3.6 59.2 For these data Ex = 65.1, Ey = 479.8, >x2 = 595.59, Vy = 24672.94 and Exy = 2677.86. Calculate the correlation coefficient for these two variables, and type the answer, rounded to two decimal places, in the box below