Question 11 Is it ever appropriate to reach a causal conclusion from data collected in a scientific study that showed a statistically significant effect? Yes but only if the P-value is very, very small. Yes if the study is a randomized experiment, but not if it is an observational study. We can never conclude about causation from just one study, even if the findings are statistically significant. Yes as long as the study uses some form of randomness to avoid bias.
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Is it ever appropriate to reach a causal conclusion from data collected in a scientific study that showed a statistically significant association? Yes, if the study is a randomized experiment but not an observational study. We can never conclude about causation from just one study, even if the association is statistically significant. Yes, as long as the study uses proper methodology and controls to avoid bias. Yes, but only if the variables are carefully controlled and the study is well-designed.
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As we have noted in previous chapters, even a very small effect can be significant if the sample is large enough. Suppose, for example, that a researcher obtains a correlation of 0.60 for a sample of 10 participants. a) Is this sample sufficient to conclude that a significant correlation exists in the population? Use a two-tailed test with Ě‘. b) If the sample had 25 participants, is the correlation significant? Again, use a two-tailed test with Ě‘.
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True or False. An observational study, if carefully done, can usually establish causation. Justify your answer.
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