Consider a scenario where two vaccines have been developed and their effectiveness was tested by comparing the mean outcome for a vaccinated group to the mean for a control (placebo) group. Both of the vaccine studies set the significance (a) level for the test at .05, two-tailed, and both found statistically significant differences (i.e., the p-value was very small and Họ was rejected). The results were as follows: Study Effect size (d) t-statistic Vaccine 1 0.7 4.8 Vaccine 2 0.2 4.8 (a) Based on the above information, can we know whether one study involved a larger sample size then the othor? Tf so which ono2 Exnloin

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Consider a scenario where two vaccines have been developed and their effectiveness was tested by
comparing the mean outcome for a vaccinated group to the mean for a control (placebo) group. Both of
the vaccine studies set the significance (a) level for the test at .05, two-tailed, and both found statistically
significant differences (i.e., the p-value was very small and Họ was rejected). The results were as follows:
Study
Effect size (d)
t-statistic
Vaccine 1
0.7
4.8
Vaccine 2
0.2
4.8
(a) Based on the above information, can we know whether one study involved a larger sample size
than the other? If so, which one? Explain.
Transcribed Image Text:Consider a scenario where two vaccines have been developed and their effectiveness was tested by comparing the mean outcome for a vaccinated group to the mean for a control (placebo) group. Both of the vaccine studies set the significance (a) level for the test at .05, two-tailed, and both found statistically significant differences (i.e., the p-value was very small and Họ was rejected). The results were as follows: Study Effect size (d) t-statistic Vaccine 1 0.7 4.8 Vaccine 2 0.2 4.8 (a) Based on the above information, can we know whether one study involved a larger sample size than the other? If so, which one? Explain.
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