[2 pts] 2. A grocery store's use of paper coupons resulted in 70% of their customers using the paper coupons. The store has recently started using digital coupons instead of paper coupons in hopes that this will increase coupon-rate usage by its customers. Use this information to address parts (a) and (b) below. |l pt] (a) Using the appropriate symbols, state the null and alternative hypotheses for a hypothesis test whose purpose is to determine if the use of digital coupons instead of paper coupons results in an increased percentage of its customer using coupons than was the case when only paper coupons were used. |1 pt] (b) A statistician working for this grocery store correctly computes the P-value and determines that it equals 0.27. We know that since this is a 'large' P-Value (it is greater than 0.05) that the statistician must fail to reject the null hypothesis. But, what does P-value means in this context? Describe the the specic event in this hypothesis test that has the conditional probability equal to 0.27 of occurring. Be specic, clear, & complete. |s pm 3. In a survey of 390 randomly selected Canadian adults suffering from allergies, 70% said they were taking Zyrtec. Address parts (a) through (e). n pt] (a) Write a sentence carefully describing the population. it pt] 03) A 90% condence interval is created. The margin of error for this survey, rounded to the nearest Whole percent, is 4%. Complete this sentence: We can be 90% condent that the population parameter is between ~ and ~ |r pt] (c) Write a sentence or two careilly describing what is meant by the phrase \"90% condent'. Your answer must include a description of the specic-to-this-survey event that has a probability of occurring equal to 0.90. It pt] ((1) Although the value of the population parameter referred to in the statement in part (b) is unknown (hence the reason for having to estimate it with a confidence interval), it does have a value. Use a complete English sentence to describe what this (unknown) number represents in this survey. That is, please describe the population parameter. p pt] (e) Which of these interpretations of the condence interval in part (b) is correct? Identity all correct statements. In those statements involving \"samples,\" this refers to samples of size 390 that are drawn from the same population as you were asked to describe in part (a). A. 90% of samples would have proportions of Zyrtec-taking allergy sufferers that fall in the interval in part (b). B. 90% of samples would give a 90% condence interval that contains the true population parameter's value. C. 70% of allergy-sufferers take Zyrtec 90% of the time. D. In 90% of all samples, 70% take Zyrtec. E. 90% of samples would give the same condence interval as the one in part (b). F. Either the true parameter is in the interval in part (b), or it is not. Write-Up 5 Write careful, well-organized, neat, complete sentence answers to the questions and complete, well-organized answers/solutions for these problems and submit them according to the instructions provided on the "Directions for Submitting Written Assignments" page (including those in the "Directions for Writing Mathematics" document that is linked to that page). The "Directions for Submitting Written Assignments" page is housed in the "Orientation to Stats Online" module. Your answers to these questions/problems will be graded on correctness and your ability to communicate your answer. In contrast to the MyLab homework, where it is (only) the correctness of the answer you submit that is evaluated, it is your communication of the process, as well as the correctness of the mathematics, that is what is being evaluated on these assignments. Always show your steps and/or explain your thoughts and reasoning clearly. Simply writing the correct answers to computational problems without showing how you arrived at them will earn a very small number of points. Full credit will not be earned, even for correct answers, if the answer is not fully supported and you have followed all directions. Write (or type) neatly. Do not cross out errors. . . erase them. If you find yourself erasing extensively, stop and start again on a fresh page. If you choose to use a pen, do not scribble things out. In applied problems (a.k.a. word problems), you must define every variable you introduce (include the units of measurement where relevant). Answer every applied problem with a complete sentence that answers the question. Clearly indicate your final answers for all problems. FOLLOW ALL DIRECTIONS Use the tools we have learned in this class to address the problems in this assessment. Use technology to compute any values associated with a Normal distribution (this includes z*); include a photo or screenshot or snip of the technology's output and state the name of the technology employed. Values obtained by a Z Table will not receive full credit. [3 pts] 1. A Seattle television station randomly samples 2372 adults who live in King County and asks them about a proposed city ban on handgun ownership; approximately 81% of oppose the ban. The station checked the assumptions necessary for inference; that is, they checked the requisite conditions for creating a confidence interval. All are satisfied. Address parts (a) and (b). 12 pts] (a) Use p+ME = ptz*SE = ptz* Py to construct a 97% confidence interval for the percentage of adults who live in King County who oppose the ban on handgun ownership. Report the confidence interval's values with at least five digits after the decimal point. Remember to include a photo or screenshot or snip of the technology's output for the value of z* (only) and state the name of the technology employed. Values obtained by a Z Table will not receive full credit. [1 pt] (b) Use technology (e.g. StatCrunch, Excel, a TI-84+ calculator, an app, etc.) to create a 97% confidence interval for the percentage of adults who live in King County who oppose the ban on handgun ownership. Report the confidence interval's values with at least five digits after the decimal point. Include a photo or screenshot or snip of the technology's output screen and state the name of the technology employed