A manufacturer is trying to determine whether a new method for constructing skateboards is faster than the old method. The hypotheses are Ho: H1- 42 and H,: H1< H2, where u, is mean time it takes to construct a skateboard using the new method and u2 is the mean time it takes to construct a skateboard using the old method. The analysis shows a p-value of .02. Which of the following must be true? If Ha is true there is a 2% chance of observing a difference in sample means at least as extreme as the difference in mean times observed in the sample. A 95% confidence interval would include O The power of the test is 98%. Ho would be rejected at the 1% significance level but not at the 5% level. O If Ho is true there is a 2% chance of observing a difference in sample means at least as extreme as the difference in mean times observed in the sample.

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