Question: Determine if the given statements are sensible

1. The significance level in a hypothesis test is the probability of making a type I error.
2. If it is extremely important not to reject a true null hypothesis wrongly, the test should be conducted with a very small significance level.
3. With a very small significance level, a possible conclusion of a hypothesis test is that the null hypothesis is true?
4. With a very small significant level, a possible conclusion of a hypothesis test is that the alternative hypothesis is supported.

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