ccording 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 435 county​ residents, and found that 40 of those surveyed are of Hispanic origin. ​This is a one-proportion z test. Answer the following:     A. ) The 435 residents were a random sample from the county of interest. The sample size is more than 100. One expects np0=(?) successes and nq0=(?) failures, which are both more than 10.     B.) The 435 residents were a random sample from the county of interest. 435 is likely less than​ 10% of the population of a county. One expects np0=(?) successes and nq0=(?) failures, which are both more than 10.     C.) The 435 residents were a random sample from the county of interest. The standard deviation of p is less than 0.5. One expects np0=(?) successes and nq0=(?) ​failures, which are both more than 20.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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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 435 county​ residents, and found that 40 of those surveyed are of Hispanic origin. ​This is a one-proportion z test. Answer the following:

 

 
A. ) The 435 residents were a random sample from the county of interest. The sample size is more than 100. One expects np0=(?) successes and nq0=(?) failures, which are both more than 10.
 
 
B.) The 435 residents were a random sample from the county of interest.
435 is likely less than​ 10% of the population of a county. One expects
np0=(?) successes and nq0=(?) failures, which are both more than 10.
 
 
C.) The 435 residents were a random sample from the county of interest. The standard deviation of p is less than 0.5. One expects np0=(?)
successes and nq0=(?) ​failures, which are both more than 20.
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