The North Valley Real Estate data reports information on homes on the market.

a. Determine the proportion of homes that have an attached garage. At the .05 significance level, can we conclude that more than 60% of the homes have an attached garage? What is the p-value?

b. Determine the proportion of homes that have a pool. At the .05 significance level, can we conclude that more than 60% of the homes have a pool? What is the p value?

c. Develop a contingency table that shows whether a home has a pool and the township in which the house is located. Is there an association between the variables pool and township? Use the .05 significance level.

d. Develop a contingency table that shows whether a home has an attached garage and the township in which the home is located. Is there an association between the variables attached garage and township? Use the .05 significance level.

Data From North Valley Real Estate:

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Pool Garage (Yes is 1) Mortgage Default (Yes is 1) Record Agent Price Size Bedrooms Baths (Yes is 1) Days Township type Years FICO 1820 346150 3010 372360 3210 Peterson 310622 3330 496100 206424 Marty Rose 2 1.5 33 Foxed 2 824 36 Fixed 820 Carter 4 21 2 Fixed 18 819 25 26 3 Fixed 17 817 5 Carter 4510 4.5 13 4 Fixed 17 816 Peterson 294086 3440 228810 4 3 1 31 4 Fixed 19 813 Carter 2630 4 2.5 39 4 Adjustable 10 813 4470 4040 4380 5280 Peterson 388960 4420 335610 2970 276000 2300 2970 453913 3660 376146 3290 Peterson 694430 5900 251269 2050 547596 4920 214910 8 Isaacs 384420 3.5 26 2 Fixed 812 Peterson 416120 3.5 26 4 Fixed 810 10 Isaacs 487494 4 1 32 3 Fixed 6 808 11 Rose 448800 4 35 4 Fixed Adjustable Adjustable Fixxed Adjustable Fixed 806 12 3 50 9. 805 13 Marty Rose Rose Isaacs Carter 25 25 801 2 1.5 34 20 798 795 792 14 15 346421 4 1 17 10 16 4 1 12 18 17 5 3.5 28 2 Adjustable Adjustable 9. 792 1. 18 3.5 36 3 10 788 19 Rose 1 38 Fixed 16 786 20 Rose 4.5 37 Fixed Fixed 2 785 1950 1950 4680 2540 393557 3180 478675 4660 384020 4220 21 Marty 1.5 20 4 6. 784 22 Rose 188799 2 1.5 1 52 Fored Fixed Fixed Foxed Adjustable Adjustable Fixed 10 782 23 Carter Isaacs 459950 4 31 781 780 4 24 264160 2.5 40 18 25 Carter 4 1 54 1 20 776 26 Isaacs 3.5 26 6. 773 27 Carter Marty Isaacs 5 3.5 1 23 4 772 1 3600 274482 2990 167962 28 313200 4 31 19 772 29 3 2 1 37 3 Fixed 769 30 Marty 1920 2 1.5 31 Foxed 6. 769 34S 67