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Suppose the P-value for a hypothesis test is 0.0304.  Using a = 0.05, what is the appropriate conclusion?

Question

Suppose the P-value for a hypothesis test is 0.0304.  Using a = 0.05, what is the appropriate conclusion?

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Solution

The P-value of a hypothesis test is the probability of getting a result at least as extreme as the one observed, assuming the null hypothesis is true.

In this case, the P-value is 0.0304. This is less than the significance level (α) of 0.05.

The significance level is the probability of rejecting the null hypothesis when it is true. If the P-value is less than or equal to the significance level, we reject the null hypothesis.

So, since 0.0304 is less than 0.05, we reject the null hypothesis.

In conclusion, there is sufficient evidence to reject the null hypothesis at the 0.05 significance level.

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