Asked by Kibre Dubiso on May 01, 2024

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Verified

P-values for the sign test for matched pairs are calculated using which distribution? (Note: n is the number of trials where the difference is not zero. )

A) t(n)
B) N(0,1)
C) B(n,1/2)
D) None of the above

P-values

An indication of the strength of the evidence against the null hypothesis, represented as a probability that measures the likelihood of the observed outcomes under the assumption that the null hypothesis is valid.

Matched Pairs

A study design where subjects are paired based on certain characteristics, and one from each pair is assigned to the treatment group and the other to the control.

Distribution

The way in which something is shared out among a group or spread over an area.

  • Comprehend the fundamental principles of the sign test for matched pairs.
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Verified Answer

AB
Alyssa BrooksMay 04, 2024
Final Answer :
C
Explanation :
The sign test for matched pairs compares the number of positive differences and negative differences. These differences can be seen as successes and failures in a Bernoulli trial, where the probability of success is 1/2. Therefore, the p-values for the sign test are calculated using the binomial distribution with n trials and probability of success equal to 1/2. Therefore, the correct choice is C (B(n,1/2)). The other options are not applicable for this scenario.