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​A local baseball team is considering changing its logo.

A large survey of $5,000$ randomly selected subjects found that the majority of respondents preferred the new logo $(p = 0.02)$ to the old one.

Why might the team consider NOT changing their logo?


The survey most likely contained high amounts of bias.


With large surveys, even a small difference can be considered statistically significant and give low p-values.


The $p$-value is too high to give any strong evidence of a preference.


There is no information to indicate that the distribution is approximately normal.


None of the solutions listed are correct; the team should change its logo.

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