Identify the correct statements about hypothesis testing.

(A) A null hypothesis assumes that no relationship between variables or different groups exists.

(B) An alternative hypothesis assumes that no relationship between variable or different group exists.

(C) A hypothesis must be acceptable or falsifiable.

(D) The null hypothesis is always true.

Choose the correct answer from the options given below:

  1. (A) and (C) Only
  2. (A), (B) and (C) Only
  3. (B) and (C) Only
  4. (A) and (D) Only

Answer (Detailed Solution Below)

Option 1 : (A) and (C) Only

Detailed Solution

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The correct answer is - (A) and (C) Only

Key Points

  • (A) A null hypothesis assumes that no relationship between variables or different groups exists.
    • The null hypothesis is a statement that there is no effect or no difference, and it serves as the starting point for statistical testing.
  • (C) A hypothesis must be acceptable or falsifiable.
    • For a hypothesis to be scientifically valid, it must be possible to test it empirically and potentially prove it false (falsifiability).

Additional Information

  • Alternative Hypothesis
    • The alternative hypothesis proposes that there is a statistically significant effect or relationship between variables.
    • It is the opposite of the null hypothesis and is what researchers typically aim to support.
  • Testing Hypotheses
    • Statistical tests are used to determine whether the evidence in a sample of data supports the null hypothesis or the alternative hypothesis.
    • If the null hypothesis is rejected, it suggests that there is evidence to support the alternative hypothesis.
  • False Statements
    • (B) An alternative hypothesis does not assume no relationship; it assumes that there is a relationship or effect.
    • (D) The null hypothesis is not always true; it is a testable assumption that can be accepted or rejected based on statistical evidence.
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