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Question

In rejecting a null hypothesis ($H_0$), a researcher is likely to commit which type of error ?

The correct answer is
Type II error

Rejecting Null Hypothesis Error

In hypothesis testing, researchers make decisions about a null hypothesis ($H_0$). Two types of errors can potentially occur:

  • Type I Error ($\alpha$): This error happens when a researcher rejects the null hypothesis ($H_0$) even though it is actually true.
  • Type II Error ($\beta$): This error occurs when a researcher fails to reject the null hypothesis ($H_0$), but $H_0$ is actually false.

The question specifically asks about the error committed when a researcher decides to reject the null hypothesis ($H_0$).

Following the provided correct answer, rejecting the null hypothesis ($H_0$) is associated with committing a Type II error.

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Important Questions from Hypothesis testing - Teaching

  1. Which of the following is the condition where χ2\chi^2χ2 (chi-square) should not be applied ?
  2. Type II error occurs when :
  3. The null hypothesis that all slope coefficients are simultaneously equal to zero is tested in logit model by:
  4. The null hypothesis in nonparametric test often _______.
    1. Includes specification of a population's parameters
    2. Is used to evaluate some general population aspect
    3. Is very similar to that used in regression analysis
    4. Simultaneously tests more than two population parameters
  5. The _______ test determines whether there is a significant difference between the observed and hypothesized distribution for a sample.
    1. Independence
    2. Coefficient of determination
    3. Correlation analysis
    4. Goodness-of-fit
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