# According to a recent​ census,16% 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 402 county​ residents, and found that 49 of those surveyed are of Hispanic origin. What are the appropriate conditions for a hypothesis test?

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According to a recent​ census,16% 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 402 county​ residents, and found that 49 of those surveyed are of Hispanic origin.

What are the appropriate conditions for a hypothesis test?

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Step 1

Hypotheses:

Denote P as the true population proportion of people in United States of Hispanic origin.

Based on the recent census, it is said that 16% of the people in United States are of Hispanic origin. That is, P = 0.16.

In the most recent survey data, looked by the supervisor of a country, it is known that among a random sample of 402 country residents 49 are of Hispanic origin.

The hypothesis to be tested using the sample observations is:

H0 : P = 0.16, that is, the true population proportion of people in United States of Hispanic orig...

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