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Why do very small p-values indicate that the evidence against the null hypothesis is strong?

A) Because the p-value is the probability that the null hypothesis is true.

B) Because the small p-value indicates that the data lie within the confidence interval.

C) Because the small p-value indicates that data like ours would be very uncommon if the null hypothesis were true.

D) Because the small p-value indicates that data like ours would be very common of the alternative hypothesis were true.

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