STATISTICS 1. In a survey of 820 Burger Bomb customers who were asked if they liked their Burger Bomb food order, 427 said yes. Let us test the claim that “A majority of Burger Bomb customers liked their order.” Construct the null hypothesis and the alternative hypothesis for this claim, in both symbolic and written form. Will this hypothesis test be left-tailed, right-tailed, or two-tailed? 2. At the 0.05 significance level, test the hypothesis in question 1, using both the P-value method and the critical value method. 3. Draw a diagram showing how the results of using the two methods in question 2 are related. Will these two methods give the same results? 4. Test the claim in question 1 by using the confidence interval method. What is the confidence interval corresponding to the 0.05 significance level? Will the confidence interval method always give the same answer as the P-value method and the critical value method? 5. What would be a type I error for the claim in question 1? What would be a type II error? Which of these errors do you think is worse?
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