Math Problem Statement
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 421 county residents, and found that 53 of those surveyed are of Hispanic origin. Complete parts (a) through (d) below. Question content area bottom Part 1 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.Upper H 0 : p greater than or equals 0.181 Upper H Subscript Upper A Baseline : p less than 0.181 Upper H 0 : p greater than or equals 0.181 Upper H Subscript Upper A Baseline : p less than 0.181 B.Upper H 0 : p less than 0.181 Upper H Subscript Upper A Baseline : p equals 0.181 Upper H 0 : p less than 0.181 Upper H Subscript Upper A Baseline : p equals 0.181 C.Upper H 0 : p equals 0.181 Upper H Subscript Upper A Baseline : p not equals 0.181 Upper H 0 : p equals 0.181 Upper H Subscript Upper A Baseline : p not equals 0.181 Your answer is correct.D.Upper H 0 : p equals 0.181 Upper H Subscript Upper A Baseline : p less than 0.181 Upper H 0 : p equals 0.181 Upper H Subscript Upper A Baseline : p less than 0.181 Part 2 b) Name the model and check appropriate conditions for a hypothesis test. What kind of test is this? Difference in differences test Two-proportion t test One-proportion z test Your answer is correct. Proportional t test Part 3 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 421 residents were a random sample from the county of interest. 421 is likely less than 10% of the population of a county. One expects np 0equals enter your response here successes and nq 0equals enter your response here failures, which are both more than 10. B. The 421 residents were a random sample from the county of interest. The sample size is more than 100. One expects np 0equals enter your response here successes and nq 0equals enter your response here failures, which are both more than 10. C. The 421 residents were a random sample from the county of interest. The standard deviation of p is less than 0.5. One expects np 0equals enter your response here successes and nq 0equals enter your response here failures, which are both more than 20.
Solution
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Math Problem Analysis
Mathematical Concepts
Hypothesis Testing
Proportions
One-Proportion Z-Test
Formulas
Z-test formula for proportion: z = (p̂ - p0) / √(p0 * (1 - p0) / n)
Theorems
Central Limit Theorem
Suitable Grade Level
College Level (Statistics Course)
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