He students were interested in the proportion of rental apartments in these suburbs that were leased as furnished apartments, and whether this varied with the number of bedrooms in these apartments. To investigate further whether the proportions of furnished apartments differ be- tween apartments with different numbers of bedrooms, it is useful to test formally whether the number of bedrooms in an apartment and whether it is furnished or not are independent
(a) State the null hypothesis, the relevant form of the test statistic and the approximate distıi bution of the test statistic for carrying out this text

per.week Bedrooms sqm Furnished
265 2 59 No
305 2 70 No
300 1 72 No
320 3 66 No
340 2 113 Yes
330 2 58 Yes
355 2 63 No
345 2 57 Yes
355 2 61 No
360 2 114 Yes
355 2 75 Yes
360 2 68 No
365 2 64 No
370 1 69 No
390 2 73 Yes
380 2 85 Yes
390 2 56 Yes
370 2 56 Yes
385 2 59 Yes
380 2 65 Yes
385 2 62 Yes
400 2 65 No
415 2 69 Yes
400 3 63 No
405 3 70 No
420 2 77 No
435 2 84 Yes
435 2 83 Yes
455 2 73 Yes
450 2 72 Yes
485 2 68 No
500 2 76 Yes
535 2 97 No
290 1 60 No
305 1 63 Yes
330 2 65 No
310 2 70 No
335 2 64 No
330 2 62 No
345 2 79 No
355 1 81 No
340 2 66 No
345 1 60 No
345 2 64 No
355 2 73 No
385 2 61 No
380 2 78 No
405 2 81 No
410 2 76 Yes
430 2 80 No
440 2 61 No
450 3 86 No
485 3 91 No
500 1 87 No
545 1 97 Yes
345 3 86 No
400 2 72 No
400 2 74 No
480 2 73 Yes
755 3 87 No
760 3 77 No
770 3 113 No
824 2 109 No
860 3 104 No
295 1 70 No
290 1 54 No
295 1 61 No
325 1 61 No
340 2 56 No
355 2 61 No
365 2 95 No
420 1 75 No
420 2 66 No
440 2 74 No
480 3 72 No
465 3 87 No
470 1 87 Yes
490 1 81 Yes
495 2 76 No
505 2 97 No
530 2 77 No
545 2 97 No
560 2 79 No
550 2 78 No
560 3 75 No
565 1 96 Yes
580 2 85 Yes
605 3 84 No
605 2 93 Yes
610 2 78 Yes
620 2 87 No
665 2 88 No
700 2 80 No
750 3 97 Yes
740 3 124 No
805 3 101 No
860 3 98 No
960 3 123 Yes
990 3 102 Yes
1195 3 133 No
1190 3 137 No
1405 3 148 Yes
1490 3 154 No

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