According to the 2010 Census, 16% of people in the United States are of Hispanic or Latino origin. One Vigo County supervisor believes her county has a lower proportion of Hispanic people than the nation as a whole and questions the validity of the Census. She looks at the county's most recent survey data, a random sample of 400 county residents, and found that 44 of those surveyed are of Hispanic or Latino origin. a. Identify an appropriate null and alternative hypothesis for a test to be conducted by the county supervisor. b. Would the hypothesis test be one or two tailed? Z or T test? Explain your response. c. Based on a P-Value of 0.005, and a 0.01 level of significance, what conclusion might be made regarding the null hypothesis?
According to the 2010 Census, 16% of people in the United States are of Hispanic or Latino origin. One Vigo County supervisor believes her county has a lower proportion of Hispanic people than the nation as a whole and questions the validity of the Census. She looks at the county's most recent survey data, a random sample of 400 county residents, and found that 44 of those surveyed are of Hispanic or Latino origin.
a. Identify an appropriate null and alternative hypothesis for a test to be conducted by the county supervisor.
b. Would the hypothesis test be one or two tailed? Z or T test? Explain your response.
c. Based on a P-Value of 0.005, and a 0.01 level of significance, what conclusion might be made regarding the null hypothesis?
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