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 lower proportion of Hispanic people than the nation as a whole (p < 0.15). She looks at their most recent survey data, which was a random sample of 485 county residents, and found that 43 of those surveyed are of Hispanic origin. Test statistic Z is found to be -3.78, calculate p-value.

The P-value of the given test is 0.00008.

Step-by-step explanation:

We are given that according to a recent census, 15% of the people in the United States are of Hispanic origin.

She looks at their most recent survey data, which was a random sample of 485 county residents, and found that 43 of those surveyed are of Hispanic origin.

Let p = proportion of Hispanic people than the nation as a whole.

So, Null Hypothesis, : p = 0.15      {means that county has a 15% proportion of Hispanic people than the nation as a whole}

Alternate Hypothesis, : p < 0.15     {means that county has a lower proportion of Hispanic people than the nation as a whole}

The test statistics that would be used here One-sample z-test for proportions;

                              T.S. =    ~ N(0,1)

where, = sample proportion of Hispanic origin people = = 0.09

           n = sample of county residents = 485

So, the test statistics  =  

                                     =  -3.78

The value of z test statistic is -3.78.

Now, P-value of the test statistics is given by the following formula;

            P-value = P(Z < -3.78) = 1 - P(Z 3.78)

                          = 1 - 0.99992 = 0.00008

the central idea is that:

individuals should refuse to cooperate with institutions they believe unjust.

thoreau felt  that governments were more often agents of corruption than justice, even democracies, and that just because the majority feels a certain way does not make it just or correct in absolute terms. he uses the fact that slavery exists in our democracy to support this idea.

he goes on to say that, as a result, people should live true to their own internal laws regarding right and wrong, as a product of reflection and a moral life, rather than following every law that society imposes. 

step-by-step explanation:

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step-by-step explanation: