Use the Data Given Below to Answer the Following Question(s)

question 3

Multiple Choice

Use the data given below to answer the following question(s) .
In a lower one-tailed hypothesis test, chosen level of significance = 0.10, sample size = 55, and t- test statistic = -1.76.
-For a two-sample hypothesis which tests for differences in population parameters (1) and (2) , a two-tailed test seeks evidence that population parameter:

• A) seeks evidence that population parameter (2) is larger than parameter (1).
• B) seeks evidence that population parameter (2) is the same as parameter (1).
• C) seeks evidence that population parameter (2) is smaller than parameter (1).
• D) seeks evidence that population parameters (1) and (2) do not belong to the same data.

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Definitions:

Degrees of Freedom

A concept in statistics that represents the number of independent values or quantities that can vary in the calculation of a statistic.

T-statistic

A type of statistic used in hypothesis testing, derived from the t-distribution to compare two means or test a correlation.

Sample Size

The quantity of data points or observations gathered in a sample from a population to conduct statistical analysis.

T-statistic

A type of statistic used in hypothesis testing, calculated as the ratio of the departure of the estimated value of a parameter from its hypothesized value to its standard error.