Question 1 (1 point) Pet Ownership The 2006 Statistical Abstract of the United States reports on a survey that asked a national sample of 80,000 American households about pet ownership. Suppose (for now) that one-third of all American households own a pet cat. a. Is this number (one-third) a parameter or a statistic? What symbol is used to represent the number? 9:45 PM 21 47 F O 4/13/2022 Cloudy DELL F12 PrtScr Insert Delete F7 F8 F9 F10 F11 F4 F5 F6 ESC F1 F2 F3 K4The number 1/3 is a parameter; the symbol used to represent it is IT O The number 1/3 is a parameter; the symbol used to represent it is The number 1/3 is a parameter; the symbol used to represent it is p The number 1/3 is a statistic; the symbol used to represent it is fu 47 F O 9:46 PM 4/13/2022 21 Cloudy DELL F10 PriSer Delet F8 FO Insert F7 F11The number 1/3 is a statistic; the symbol used to represent it is a O The number 1/3 is a parameter; the symbol used to represent it is / O The number 1/3 is a statistic; the symbol used to represent it is p The number 1/3 is a statistic; the symbol used to represent it is 9:46 PM 47 F O KO 4/13/2022 Cloudy DELL F10 F11 F12 PriScr Insert Delb. What does the Central Limit I neorem say about now the sample proportion of households who own a pet cat could vary under repeated random sampling? Comment on shape, center, and spread of the distribution. Round your answers to six decimal places, if required. The CLT says this sampling distribution will be approximately normal, centered at _ _ __ with a standard deviation of Blank # 1 A Blank # 2 9:47 PM 27 47.F 4/13/2022 Cloudy F10 F11 F12 Prtser Insert Delete F9 F5 F7 F1 F2 F3 F4 F6 F8 ESC 144 DIIc. Still supposing that one-third of all American households own a pet cat, between what two values do you expect 95% of all sample proportions to fall? Answer from smallest to largest and round your answers to FOUR decimal places, if necessary. 95% of all sample proportions will fall between __ and Blank # 1 Blank # 2 9:47 PM 47 F 4/13/2022 21 Cloudy DELL F12 PrtSer Insert Delete F11 F2 F3 F4 F5 F6 F7 F8 FO F10 ESC F1 Od. Explain why the interval in part c turns out to be so narrow. The above interval is so narrow because the sample size is small O The above interval is so narrow because proportions are always between 0 and 1 The above interval is so narrow because it is always narrow for 95% of the data The above interval is so narrow because the sample size is extremely large. 47 F 9:47 PM Cloudy 4/13/2022 21 DELL F7 F8 F9 F10 F11 F12 PrtSer Insert DeleteQuestion S (1 point) e. This survey found that 32.8% of the households sampled owned a pet cat. Is this number a parameter or a statistic? What symbol is used to represent the value? O The number 0.328 is a statistic; the symbol used to represent this is p The number 0.328 is a parameter; the symbol used to represent this is / The number 0.328 is a parameter; the symbol used to represent this is IT 9:48 PM 47OF O 4/13/2022 21 Cloudy DELL Delete F9 F10 F12 Insert F11 PrtScr F3 F4 F5 F6 F7 F8 FO: ESC F1 F2 144C The number 0.328 is a statistic; the symbol used to represent this is _ The number 0.328 is a statistic; the symbol used to represent this is / The number 0.328 is a statistic; the symbol used to represent this is IT O The number 0.328 is a parameter; the symbol used to represent this is a O The number 0.328 is a parameter; the symbol used to represent this is p 47OF 9:48 PM 21 Cloudy O BADOOON 4/13/2022 DELL F12 PriScr Insert Delef. Calculate the Z-score of this sample proportion (0.328). Round your answer to two decimal places. KO 47 F Cloudy DELL F10 F11 F12 Priser insert F3 F5 F6 F7 F8 FO ESC F2 F4 F1 4 X & K a # $ % A 9 O 4 6 7 2 3 5g. Use the CLT to approximate the probability of obtaining a sample proportion as far or farther from one-third as the one obtained in this sample. Round your answer to FOUR decimal places. The probability of obtaining a sample proportion as small as 0.328 or smaller is 9:49 PM 47OF O 4/13/2022 21 Cloudy DELL F10 F11 Prtser F4 F5 F6 F7 F8 FO F12 Insert Delete F3 ESC F2 O 144 X % Backs ah. Do the sample data provide evidence that the population proportion of households who own a pet cat is not one-third? Yes, because our probability is not close to 1/3 we have strong evidence that the true proportion is not 1/3 Yes, because the probability of obtaining a proportion as small as 32.8% or smaller is rather large, we have strong evidence that the true proportion is not 1/3 ahabilityof obtaining. arcmallar 20 00/ orsmallaria . 47 F O 9:50 PM 4/13/2022 21 Cloudy DELLYes, because the probability of obtaining a proportion as small as 32.8% or smaller is very low, so we have very strong evidence that the true proportion is not 1/3 O No, we need a larger sample size in order to determine whether the true proportion is 1/3 O No, because our probability is not close to 1/3 we do not have evidence that the true proportion is not 1/3 9:50 PM O 21 47OF 4/13/2022 Cloudy DELL F12 Insert F3 F5 F8 F10 F4 F6 FO PrtSer Delete F11 F7 ESC F1 F2 DII