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According to a recent​ census, 18​% of the people in the United States are of Hispanic...

According to a recent​ census, 18​% 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 415 county​ residents, and found that 46 of those surveyed are of Hispanic origin.

Check the appropriate conditions for a hypothesis test:

-The 415 residents were a random sample from the county of interest

a) The sample size is more than 100. One expects np0=__ successes and nq0=__ failures, which are both more than 10.

b) 415 is less likely than 10% of the population of a county. One expects np0=__ successes and nq0=__ failures, which are both more than 10

c) 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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