According to a recent census, 14.3% of all housing units in acertain country are vacant. A county supervisor wonders if hercounty is different from this. She randomly selects 893 housingunits in her county and finds that 162 of the housing units arevacant. Complete parts a through d below.a) State the hypotheses.Let the proportion of housing units in the county that are vacantbe denoted by p. Choose the correct answer below.OA. Ho: p<0.143HA: P = 0.143O C. Ho: p=0.143HA: P<0.143OB. Ho: p=0.143HA: P = 0.143O D. Ho: p20.143HA: P<0.143b) Name the model and check appropriate conditions for ahypothesis test.What kind of test is this? Choose the correct answer below.Two-proportion t-testDifference in proportions testProportional t-testO One-proportion z-testCheck the appropriate conditions for a hypothesis test. Selectthe correct choice below and fill in the answer boxes within yourchoice.(Round to one decimal place as needed.)successes and nqo =than 10.OA. The 893 housing units were a random sample from thecounty of interest. 893 is likely less than 10% of allhousing units in the county. One expects npo =failures, which are both moreOB. The 893 housing units were a random sample from thecounty of interest. The standard deviation of p is lessthan 0.5. One expects npo =successes and KAccording to a recent census, 14.3% of all housing units in acertain country are vacant. A county supervisor wonders if hercounty is different from this. She randomly selects 893 housingunits in her county and finds that 162 of the housing units arevacant. Complete parts a through d below.Choose the correct sketch below.O A.0.0850.143ANA0.1230.1810.143B.0.18Calculate the test statistic.O C.The test statistic is(Round to two decimal places as needed.)Calculate the P-value.P-value =(Round to three decimal places as needed.)d) State the conclusion.0.1230.1930.181A. Because the P-value is so high, there is not sufficientevidence that the proportion of housing units that arevacant in this county differs from that in the country as awhole.OB. Because the P-value is so low, there is not sufficientevidence that the proportion of housing units that arevacant in this county differs from that in the country as awhole.C. Because the P-value is so low, there is evidence thatthe proportion of housing units that are vacant in thiscounty differs from that in the country as a whole.

Answered: Image /qna-images/answer/d0b4ec87-4fdc-4f01-b602-e6235c620225.jpg

A. 0.085 OB. 0.18 0.143 0.193 A A A 0.143 0.181 0.181 0.123 O C. Calculate the test statistic. The test statistic is (Round to two decimal places as needed.) Calculate the P-value. P-value = (Round to three decimal places as needed.) d) State the conclusion. 0.123 OA. Because the P-value is so high, there is not sufficient evidence that the proportion of housing units that are vacant in this county differs from that in the country as a whole. OB. Because the P-value is so low, there is not sufficient evidence that the proportion of housing units that are vacant in this county differs from that in the country as a whole. OC. Because the P-value is so low, there is evidence that the proportion of housing units that are vacant in this county differs from that in the country as a whole.