As you decrease your confidence level: O The probability of a type 1 error goes up O The probability of a type 1 error goes down O The probability of a type 2 error goes up O (a) and (c) are true O None of the above are trueSuppose the null hypothesis is there is no wolf present. Now consider the story of the boy who cried wolf. On several occasions the boy claims there is a wolf in his pasture when there is no wolf present. Each time the boys makes this claim, the town's folk come to help him in the pasture, but there is no wolf. After this has happened several times the town's folks resolve to not come to the boy's aid in the future because he is repeatedly mistaken. One day a wolf shows up and the boys claims there is a wolf, the townsfolk ignore his calls and the boy is eaten by a wolf. Which of the following is a correct characterization of the sequence of errors present in this story? O The boy committed several type 1 errors, then the town's folks committed a type 1 error O The boy committed several type 2 errors, then the town's folks committed a type 2 error O The boy committed several type 1 errors, then the town's folks committed a type 2 error O The boy committed several type 2 errors, then the town's folks committed a type 1 error O None of the above is correctSuppose Zydrunas claims he can typically lift and carry the Husafell stone 78 meters. After watching him train with the Husafell stone 12 times you note that his mean distance is 81 meters with a standard deviation of 8 meters. Test Zydrunas' initial claim at the 95% level. Which of the following is the correct sequence of critical value, test-statistic value, and conclusion? O About 1.96, about 1.3, fail to reject the null hypothesis O About 1.645, about 1.835, fail to reject the null hypothesis O About 2.179, about 1.835 , reject the null hypothesis and accept the alternative hypothesis O About 2.201, about 1.3, reject the null hypothesis and accept the alternative hypothesis O None of the above is correct