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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. 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
  2. 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
  3. Match the LIST-I with LIST-II
    LIST-ILIST-II
    A. One-Tailed TestI.Null hypothesis is rejected if the sample value is significantly higher or lower than the hypothesized value of the population parameter
    B. Paired difference TestII.A hypothesis test of the difference between the sample means of two independent samples
    C. Two-Tailed TestIII.A sample value significantly above the hypothesized population value will lead to rejection of the null hypothesis
    D. Upper-Tailed TestIV.Concerned only with whether the observed value deviates from the hypothesized value in one direction

    Choose the correct answer from the options given below:
  4. Arrange in correct sequence the steps for testing Statistical Hypothesis :
    I. A random sample is drawn from population.
    II. Specify the level of significance.
    III. Value of the sample statistic is obtained.
    IV. Obtained sample statistic is examined with the random sampling distribution of the statistic under consideration.
    V. Formulate Null Hypothesis about a parameter of the population, along with an alternate hypothesis.
    VI. Retain Null Hypothesis if particular sample outcome is in line with the expected outcomes, otherwise reject it and retain alternate hypothesis.
    Codes :
  5. Which set of stoichiometric coefficient correctly balance the equation ?
    $$a. H_2O_2 + b. KMnO_4 + c. H_2SO_4 \to d. K_2SO_4 + e. MnSO_4 + f. H_2O + g. O_2$$
    Select the correct answer from the codes given below :
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