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According to a recent census, 17% of the people in the United States are of Hispanic origin. One county supervisor believes her county has a
According to a recent census, 17% of the people in the United States are of Hispanic 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 418 county residents, and found that 48 of those surveyed are of Hispanic origin. Complete parts (a) through (d) below. One-proportion z test O Difference in differences test Two-proportion 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.) O A. The 418 residents were a random sample from the county of interest. The sample size is more than 100. One expects npo = successes and nqo = failures, which are both more than 10. O B. The 418 residents were a random sample from the county of interest. The standard deviation of p is less than 0.5. One expects npo = successes and nqo = failures, which are both more than 20. C. The 418 residents were a random sample from the county of interest. 418 is likely less than 10% of the population of a county. One expects npo = 71.1 successes and nqo = 346.9 failures, which are both more than 10. 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. B. XC. 0.115 D.17 0.12 O P p p 0.080 0.170 0.260 0.025 0.115 0.205 0.025 0.115 0.205 Calculate the test statistic. z= Round to two decimal places as needed.)
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