5. According to the Census Bureau, 18.1% of the people in the United States are of Hispanic or Latino origin. One county supervisor believes her county has a different proportion of Hispanic people than the nation as a whole. She looks at their most recent survey data, which was a random sample of 452 county residents, and found that 54 of those surveyed are of Hispanic origin. Complete parts (a) through (d) below. a) State the hypotheses. Let the proportion of people in the county that are of Hispanic origin be denoted by p. Choose the correct answer below. A. Ho p=0.181 HA: p<0.181 B. Ho p≥ 0.181 HA: p<0.181 C. Ho p=0.181 HA: p #0.181 D. Ho p<0.181 HA P=0.181 b) Name the model and check appropriate conditions for a hypothesis test. What kind of test is this? Difference in differences te st One-proportion z test Two-proportion t test Proportional t test Check the appropriate conditions for a hypothesis test. Select the correct choice below and fill in the answer boxes within your choice. (Round to one decimal place as needed.) A. The 452 residents were a random sample from the county of interest. The sample size is more than 100. One expects npo successes and nq= failures, which are both more than 10. B. The 452 residents were a random sample from the county of interest. 452 is likely less than 10% of the population of a county. One expects np = 81.8 successes and nqo 370.2 failures, which are both more than 10. OC. The 452 residents were a random sample from the county of interest. The standard deviation of p is less than 0.5. One expects про= successes and nqo = failures, which are both more than 20. Thus, the conditions are met and it is appropriate to use a Normal model and perform the hypothesis test. c) Draw and label a sketch, and then calculate the test statistic and P-value. Choose the correct sketch below. A. B. OC. 0.119 0.181 0.13 A À Ā 0.091 0.181 0.271 0.029 0.119 0.209 0.029 0.119 0.209 Calculate the test statistic. https://tdx.acs. pearsonprd.tech/api/v1/print/highered 1/2 Z= (Round to two decimal places as needed.) Calculate the P-value. P-value = (Round to three decimal places as needed.) d) State the conclusion. Choose the correct answer below. A. Because the P-value is so low, there is evidence that the Hispanic population in this county differs from that of the nation as a whole. B. Because the P-value is so high, there is not sufficient evidence that the Hispanic population in this county differs from that of the nation as a whole. C. Because the P-value is so low, there is not sufficient evidence that the Hispanic population in this county differs from that of the nation as a whole. D. Because the P-value is so high, there is evidence that the Hispanic population in this county differs from that of the nation as a whole. https://tdx.acs.pearsonprd.tech/api/v1/print/highered 2/2