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Part 1

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

420

county residents, and found that

45

of those surveyed are of Hispanic origin. Complete parts (a) through (d) below.

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Part 1

a) State the hypotheses.

(The proportion of people in the county that are of Hispanic origin is denoted by p.)

A.Upper H 0 : p greater than or equals 0.16 Upper H Subscript Upper A Baseline : p less than 0.16

Upper H 0 : p greater than or equals 0.16

Upper H Subscript Upper A Baseline : p less than 0.16

B.Upper H 0 : p equals 0.16 Upper H Subscript Upper A Baseline : p less than 0.16

Upper H 0 : p equals 0.16

Upper H Subscript Upper A Baseline : p less than 0.16

C.Upper H 0 : p less than 0.16 Upper H Subscript Upper A Baseline : p equals 0.16

Upper H 0 : p less than 0.16

Upper H Subscript Upper A Baseline : p equals 0.16

D.Upper H 0 : p equals 0.16 Upper H Subscript Upper A Baseline : p not equals 0.16

Upper H 0 : p equals 0.16

Upper H Subscript Upper A Baseline : p not equals 0.16

Your answer is correct.

Part 2

b) Name the model and check appropriate conditions for a hypothesis test.

What kind of test is this?

Two-proportion t test

Difference in differences test

Proportional t test

One-proportion z test

Your answer is correct.

Part 3

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

420

residents were a random sample from the county of interest. The standard deviation of p is less than 0.5. One expects

np 0equalsenter your response here

successes and

nq 0equalsenter your response here

failures, which are both more than 20.

B.

The

420

residents were a random sample from the county of interest. The sample size is more than 100. One expects

np 0equalsenter your response here

successes and

nq 0equalsenter your response here

failures, which are both more than 10.

C.

The

420

residents were a random sample from the county of interest.

420

is likely less than 10% of the population of a county. One expects

np 0equals67.2

successes and

nq 0equals352.8

failures, which are both more than 10.

Your answer is correct.

Part 4

Thus, the conditions are

met

and it is

appropriate

to use a Normal model and perform the hypothesis test.

Calculate the test statistic.

zequalsenter your response here

(Round to two decimal places as needed.)