The Ohio Department of Agriculture Tested 203 Fuel Samples Across $\left[ \begin{array} { l l } .045 & .221\end{array} ] \right.$

question 111

Multiple Choice

The Ohio Department of Agriculture tested 203 fuel samples across the state in 1999 for accuracy of the reported octane level.For premium grade,14 out of 105 samples failed.(They didn't meet ASTM specification and the FTC octane posting rule. ) Find a 99 percent confidence interval for the true population proportion of premium grade fuel-quality failures.

• A) \(\left[ \begin{array} { l l }
• .045 & .221
• \end{array} ] \right.\)
• B) \(\left[ \begin{array} { l l }
• .068 & .198
• \end{array} \right]\)
• C) \([ .023 \quad .115 ]\)
• D) \([ .048 \quad .219 ]\)
• E) \([ .100 \quad .276 ]\)

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Definitions:

Standard Error

A measure of the accuracy with which a sample distribution represents a population by quantifying the variability of the sampling distribution.

Coefficient Of Determination

A measure that represents the proportion of the variance in the dependent variable that is predictable from the independent variable(s).

Test Statistic

A value calculated from sample data during hypothesis testing, used to determine whether to reject the null hypothesis.

Coefficient Of Determination

A statistical measure represented by \(R^2\), indicating the proportion of the variance in the dependent variable that is predictable from the independent variable(s).