1. b} [1 [I points} Chronic pain is often dened as pain that occurs constantly and ares up frequently, is not caused by cancer. and is experienced at least once a month for a 1-year period of time. Many articles have been written about the relationship between chronic pain and the age of the patient. In a survey conducted on behalf of the American Chronic Pain Association in 2M4, a random cross section of Ell-El adults who suffer from chronic pain found that 424 of the Elli} participants in the survey were above the age of it}. Using the data in the survey, is there substantial evidence {at = CLUE} that more than half of persons suffering from chronic pain are over 513 years of age? Let it he the proportion of persons suffering from chronic pain that are over it} years of age. [2 points} State the null and alternative hypothesis and specify if this is a onetailed or twotailed hypothesis test. {1 point} Would it be appropriate to use a normal approximation in conducting a statistical test of the research hypothesis that over half of persons suffering from chronic pain are over it} years of age? [2 points} Find Emu-m; m1\". {Eu}, and calculate the 2 score in this setup. [2 points} Make a decision based on the test statistics and explain why. [1 point) Interpret your results. [2 points} Place a 95% condence interval on the proportion [rt] of persons suffering from chronic pain that are over it] years of age+ and comment on the test decision. Table. Common values of the confidence coefficient (1- a) and the corresponding z-value, 2 x/2 Confidence Coefficient Value of Area in Table 1 Corresponding :-Value, (1 - a) 0/2 1 - o/2 Za/2 90 05 95 1.645 95 .025 975 1.96 .98 .01 99 2.33 .99 .005 .995 2.582. (Extra 3 points) An educational researcher designs a study to compare the effectiveness of teaching English to non-English-speaking people by a computer software program and by the traditional classroom system. The researcher randomly assigns 125 students from a class of 300 to instruction using the computer. The remaining 175 students are instructed using the traditional method. At the end of a 6- month instructional period, all 300 students are given an examination with the results reported in Table. Does instruction using the computer software program appear to increase the proportion of students passing the examination in comparison to the pass rate using the traditional method of instruction? Use a = 0.05. Let n, and 72 be the proportion of all students passing the examination using the computer method of instruction and the traditional method of instruction. Exam Result Computer Instruction Traditional Instruction Pass 94 113 Fail 31 62 Total 125 175 a) (1 point) State the null and alternative hypothesis b) (2 points) Place a 95% confidence interval for m, - n2 and make a decision