Questions $5$ through $7$: Decide which confidence interval to use. Here is a list of confidence intervals we have studied so far this semester. For each question most appropriate for the given situation. You may use a confidence interval once, more than once, or not at all i identifty the one confidence intervail that is a$.$ One sample z$-$confidence interval b$.$ One sample t$-$confidence interval c$.$ Paired$-$samples t$-$confidence interval d$.$ Independent sample t$-$confidence interval e$.$ Confidence interval for one proportion t$.$ Confidence interval for two proportions $5.$ A bank employs two appraisers. When approving borrowers for montgages, it is imperative that the appraisers value the same types of properties consistently. To make sure this is the case, the bank evaluates six properties that both appraisers have recenty valued. Which confidence interval would be most appropriate for this study? $6.$ In a Wall Street Jounal article on satisfaction with career paths, the percentage of psychology majors reporting they were satisned or very satisfied? with their career path was reported. The same data was also reported for accounting majors. You decide to construct a $95\%$ confidence interval to see if the o bserved d e ence is can which conde e iste a wou t be sta ra aeti k tryt $7.$ DoubleStuf Oreo cookies are supposed to have twice the fling of regular Oreo cookies. You and some f sample of $55$ DoubleStuf Oreo cookies and measure the amount of filing in each one. You need to construct a confidence interval to estimate the true mean compare it to the filling amount found friends decide you want to know if that is a true assertion by the company who makes them. You take a filing amount of DoubleStuf Oreos in arder to in regular Oreos. Which confidence interval would be most appropriate for this study? $8.$ Which one of the following best defines the notion of the significance level of a hypothesis test? a$.$ The probability of rejecting Ho$.$ whether its true or not g a sample statistic more extreme than the one actually obtained, assuming the null hypothesis is true c$.$ The probability of the type I error d$.$ The probability of the type Il error $9.$ Which one of the following best defines the notion of the P$-$value of a hypothesis test? a$.$ The probability of rejecting Ho$.$ whether it's true or not b$.$ The probability of observing a sample statistic more extreme than the one actually obtained, assurning the nul hypothesis is true c$.$ The probability of the type I error d$.$ The probability of the type II error st a $54$ PM $3/2018$ e to search