Statement I: Sample size determination indicate the number of people in the sample and the procedures used to compute this number.

Statement II: A large sample will provide less accuracy in the inferences made.

In the light of the above statements, choose the correct answer from the options given below:

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Correct option is C

Statement I is true but Statement II is false.

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• Statement I: Sample size determination indicates the number of people in the sample and the procedures used to compute this number.

  • This statement istrue. Sample size determination is a crucial step in research methodology. It involves calculating the appropriate number of participants needed for a study to achieve statistical significance and represent the population accurately. Researchers use various formulas and methods to calculate the sample size, considering factors like the desired level of confidence, margin of error, and population variability.

• Statement II: A large sample will provide less accuracy in the inferences made.

  • This statement isfalse. In general, a larger sample size tends to increase the accuracy and reliability of inferences made from a study. A larger sample provides a more representative picture of the population, reducing the impact of random error and increasing the statistical power of the study. However, it's important to note that a large sample does not guarantee accuracy if the sampling method is biased or if there are other methodological flaws.

Determining the Correct Answer:

Based on the analysis:

• Statement I is true.
• Statement II is false.