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According to a recent census, 15% 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 heir most recent survey data, which was a random sample of 483 county residents, and found that 42 of those surveyed are of Hispanic origin. Complete parts (a) through (d) below.

According to a recent census, 15% 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 heir most recent survey data, which was a random sample of 483 county residents, and found that 42 of those surveyed are of Hispanic origin. Complete parts (a) through (d) below.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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According to a recent census, 15% 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 483 county residents, and found that 42 of those surveyed are of Hispanic origin. Complete parts (a) through (d) below. ... What kind of test is this? Y One-proportion z test O Two-proportion t test O Difference in differences test O 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 483 residents were a random sample from the county of interest. 483 is likely less than 10% of the population of a county. One expects npo = 72.5 successes and ng, = 410.6 failures, which are both more than 10. B. The 483 residents were a random sample from the county of interest. The sample size is more than 100. One expects np, = successes and ngo = failures, which are both more than 10. O C. The 483 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. 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. VA. O B. В. C. Q 0.087 0.10 0.15 0.070 0.150 0.230 0.007 0.087 0.167 0.007 0.087 0.167 Calculate the test statistic. (Round to two decimal places as needed.)
Transcribed Image Text:According to a recent census, 15% 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 483 county residents, and found that 42 of those surveyed are of Hispanic origin. Complete parts (a) through (d) below. ... What kind of test is this? Y One-proportion z test O Two-proportion t test O Difference in differences test O 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 483 residents were a random sample from the county of interest. 483 is likely less than 10% of the population of a county. One expects npo = 72.5 successes and ng, = 410.6 failures, which are both more than 10. B. The 483 residents were a random sample from the county of interest. The sample size is more than 100. One expects np, = successes and ngo = failures, which are both more than 10. O C. The 483 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. 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. VA. O B. В. C. Q 0.087 0.10 0.15 0.070 0.150 0.230 0.007 0.087 0.167 0.007 0.087 0.167 Calculate the test statistic. (Round to two decimal places as needed.)
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