A Random Sample of Two Variables,x and Y,produced the Following

question 68

Multiple Choice

A random sample of two variables,x and y,produced the following observations: Test to determine whether the population correlation coefficient is negative.Use a significance level of 0.05 for the hypothesis test.

• A)Because t = -4.152 < -1.9432,reject the null hypothesis.Because the null hypothesis is rejected,the sample data does support the hypothesis that there is a negative linear relationship between x and y.
• B)Because t = -4.152 < -1.9432,do not reject the null hypothesis.Because the null hypothesis is not rejected,the sample data support the hypothesis that there is a negative linear relationship between x and y.
• C)Because t = -9.895 < -1.9432,reject the null hypothesis.Because the null hypothesis is rejected,the sample data does support the hypothesis that there is a negative linear relationship between x and y.
• D)Because t = -9.895 < -1.9432,do not reject the null hypothesis.Because the null hypothesis is not rejected,the sample data support the hypothesis that there is a negative linear relationship between x and y.

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Definitions:

Cotton Industry

The sector of the economy concerned with the production, processing, and distribution of cotton, a key material in the textile industry.

Eli Whitney

An American inventor best known for inventing the cotton gin in 1793, a device that revolutionized the cotton industry by greatly increasing the efficiency of cotton harvesting.

Federal Funding

Financial support provided by the federal government, often allocated to state and local government entities, organizations, or individuals for specific projects or purposes.

Unconstitutional

A term describing actions or laws that go against the principles or explicit provisions of a country's constitution.