Due Thursday Respond to the following in a minimum of 175 words: This week we examine how to solve for an unknown quantity. Some situations may be easily modeled by single variable equations and others might be more difficult. Reflect on your professional or personal world. What is an example of a situation that you might be able to use an equation with a single unknown to help understand? What is an example of a situation that you might not be able to use an equation with a single unknown to understand? What makes an equation with a single unknown helpful in one of your examples but not the other? What patterns exist in your two examples that might be helpful in determining when to use a simple equation?

Two types of medication for hives are being tested. The manufacturer claims that the new medication A is more effective than the standard medication B and undertakes a comparison to determine if medication A produces relief for a higher proportion of adult patients within a 40-minute time window. In a random sample of 40 adults given medication A, 34 were symptom-free after 40 minutes. In a random sample of 34 adults given medication B, 28 were symptom-free after 40 minutes. The hypothesis test is to be carried out at a 1% level of significance.1. State the null and alternative hypotheses in words and in statistical symbols.2. What statistical test is appropriate to use? Explain the rationale for your answer.3. Would the test be right-tailed, left-tailed or two-tailed? Explain the rationale for your answer.4. Describe an outcome that would result in a Type II error. Explain the rationale for your answer.5. Describe an outcome that would result in a Type I error. Explain the rationale for your answer.

Test Content An upper-level sociology class has 120 registered students: 34 seniors, 57 juniors, 22 sophomores, and 7 freshmen. Imagine that you choose one random student from the classroom (perhaps by using a random number table). Question 1 2.5 Points What is the probability that the student will be a junior? 0.475 0.57 0.183 0.283 Question 2 2.5 Points What is the probability that the student will be a freshman? 0.475 0.058 0.283 0.183 Question 3 2.5 Points If you are asked to select a proportionate stratified sample of size 30 from the classroom, stratified by class level (senior, junior, etc.), how many students from each group will there be in the sample? About 1 Freshmen, about 4 Sophomores, about 13 Juniors, about 9 Seniors About 3 Freshmen, about 7 Sophomores, about 15 Juniors, about 8 Seniors About 2 Freshmen, about 5 Sophomores, about 14 Juniors, about 8 Seniors About 3 Freshmen, about 7 Sophomores, about 15 Juniors, about 10 Seniors Question 4 2.5 Points If you select a disproportionate sample of size 20 from the classroom, with equal numbers of students from each class level in the sample, how many freshmen will be in the sample? 5 7 9 6 Question 5 2.5 Points When taking a random sample from a very large population, how does the standard error of the mean change when the sample size is increased from 100 to 1,600? Smaller by a factor of 2 Larger by a factor of 2 Smaller by a factor of 4 Larger by a factor of 4 Question 6 2.5 Points When taking a random sample from a very large population, how does the standard error of the mean change when the sample size is decreased from 300 to 150? Decreases by 1.41 Increases by 1.41 Decreases by 0.71 Increases by 0.71 Question 7 2.5 Points When taking a random sample from a very large population, how does the standard error of the mean change when the sample size is multiplied by 4? Decreases by a factor of 4 Increases by a factor of 4 Decreases by a factor of 2 Increases by a factor of 2 The following information presents the number of parolees (per 100,000 people) for 12 of the most populous states as of July 2015.State, Parolees (per 100,000 People)California, 292Texas, 556New York, 288Florida, 28Illinois, 299Pennsylvania, 1,035Ohio, 193Georgia, 334Michigan, 239North Carolina, 130New Jersey, 214Virginia, 27Source: National Institute of Corrections, Correction Statistics by State, 2016 Question 8 2.5 Points Assume that σ = 226.83 for the entire population of 50 states. Calculate and interpret the standard error. (Consider the formula for the standard error. Since we provided the population standard deviation, calculating the standard error requires only minor calculations.) What is the standard error? 68.45 62.35 64.58 65.48