According to a recent census, 16% of the people in the United States are of the

Question

According to a recent census, 16% of the people in the United States are of the Hispanic origin One country supervisor believes her country 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 450 country residences, and found that 47 of those surveyed are of Hispanic origin. Complete parts (a) through (d) below. (Round to two decimal places as needed.) Calculate the P-value. P-value = 0.000 (Round to two decimal places as needed.) State the conclusion. Because the P-value is so low, there is not sufficient evidence that the Hispanic population this county differs from, that of the nation as a whole. Because the P-value is so low, there is evidence that the Hispanic population in this county differs from that of the nation as a whole. Because the P-value is so high, there is evidence that the Hispanic population in this county differs from that of the nation as a whole. Because the P-value is so high, there is not sufficient evidence that the Hispanic population in this county differs from that of the nation as a whole.

Explanation / Answer

c) P-value : 0.0007

since

Sample proportion: 0.1021739
Test Statistic, z: -3.3830
Critical z: ±1.9600
P-Value: 0.0007

d) Correct Answer: Option (B) Because the p-value is so low, there is evidece that the Hispanic population in this country differs from that of the nation as a whole

Since P-value is low so we reject H0.

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