Researchers Studied How Many Steps a Day Adult Residents of the City

question 49

Multiple Choice

Researchers studied how many steps a day adult residents of the city make. They determined that the mean number of steps per day for a representative sample of 10 adult residents of the city was 5,139 steps. The original sample data values are: ​ Researchers are interested in deciding if there is evidence that adult residents of the city make more than 5,000 steps per day. Use a randomization test to select the appropriate output for one set of 1,000 simulated sample means and carry out a hypothesis test for a population mean.

• A) ​ ​Since the approximate P-value is less than , we fail to reject H₀ for a significance level of 0.05.So the sample does not provide convincing evidence that adult residents of the city make more than 5,000 steps per day.
• B) ​ ​Since the approximate P-value is greater than , we reject H₀ for a significance level of 0.05.So the sample provide convincing evidence that adult residents of the city make more than 5,000 steps per day.
• C) ​ ​ Since the approximate P-value is greater than , we fail to reject H₀ for a significance level of 0.05.So the sample does not provide convincing evidence that adult residents of the city make more than 5,000 steps per day.
• D) ​ Since the approximate P-value is less than , we reject H₀ for a significance level of 0.05.So the sample provide convincing evidence that adult residents of the city make more than 5,000 steps per day.
• E) ​ ​ Since the approximate P-value is greater than , we fail to reject H₀ for a significance level of 0.05.So the sample does not provide convincing evidence that adult residents of the city make more than 5,000 steps per day.

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Definitions:

Statistical Procedures

Statistical procedures are methodologies utilized in collecting, analyzing, interpreting, and presenting data.

Confidence Level

The probability, expressed as a percentage, that a confidence interval will contain the true population parameter across repeated samples or experiments.

Confidence Interval

A gamut of values, resulting from sample analysis, expected to enfold the value of an undefined population characteristic.