Given below are two statements : Statement I : t-tests are appropriate only when the dependent variables being measured are continuous. Statement II : Chi-square statistic allows us to test hypotheses using both continuous and ordinal data. In the light of the above statements, choose the most appropriate answer from the options given below :
Statement I is true but Statement II is false.
This question tests the correct application of two statistical tests to different types of data.
Statement I says t-tests are appropriate only when the dependent variables being measured are continuous. This is true. A t-test compares means, and a mean is only meaningful for continuous (interval or ratio) data, such as height, weight, marks or time. So the dependent variable in a t-test must be continuous.
Statement II says the chi-square statistic allows us to test hypotheses using both continuous and ordinal data. This is false. Chi-square is a non-parametric test used with categorical (nominal) data - it works on frequencies/counts in categories, testing goodness-of-fit or association between categorical variables. It is not designed to test hypotheses using continuous data.
Therefore Statement I is true but Statement II is false.
Why the other options are wrong: treating both as true wrongly credits chi-square with handling continuous data, which it does not; treating Statement I as false wrongly denies that t-tests require continuous dependent variables.
Takeaway: t-tests need a continuous dependent variable; chi-square works on categorical/count data, not continuous data.
Correct answer: Statement I is true but Statement II is false.
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code : Given below are two statements:
Statement I: Like correlation, statistical regression examines the association or relationship between variables.
Statement II: The primary purpose of regression is prediction.
In the light of the above statements, choose the most appropriate answer from the options given below:
Which of the following statistical technique will be appropriate for data analysis when the observations are available in the form of frequencies?
