In Testing the Hypotheses: H₀ $\beta$ ₁ = 0 Vs $\beta$ ₁ $\neq$

question 205

Multiple Choice

In testing the hypotheses: H₀: $\beta$ ₁ = 0 vs.H₀: $\beta$ ₁ $\neq$ 0,the following statistics are available: $n = 10$ , $b _ { 0 } = - 1.8$ , $b _ { 1 } = 2.45$ , $s _ { ? _ { 1 } } = 1.20$
,and $\hat { y } = 6$ .The value of the test statistic is:

• A) 2.042
• B) 0.306
• C) -1.50
• D)-0.300

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Definitions:

Binomial Random Variable

A type of discrete random variable that arises in situations where an experiment or process is repeated a fixed number of times, with each trial having two possible outcomes (success or failure) and a constant probability of success.

Binomial Probability Distribution

A probability distribution that summarizes the likelihood that a variable will take one of two independent values under a given set of parameters or conditions.

Binomial Problem

A statistical question or experiment that has exactly two possible outcomes, 'success' or 'failure', and where the probability of success is the same each time the experiment is conducted.

Standard Deviation

Standard deviation is a measure of the amount of variation or dispersion in a set of values, indicating how much the values in a dataset deviate from the mean.