In a study of self-medication, a simple random sample of 1230 adults completed a survey. The survey reported that 441 of the adults had a cough during the past month.
(a) What hypotheses should be tested to find out whether, in the population from which the sample was drawn, less than half of the adults had a cough during the past month?
(b) Choose an appropriate test, check assumptions, and find the p-value.
(c) Make a decision at the α = .05-level in the context of the problem.
(d) What is the smallest sample size we could have used for this test while still meeting the assumptions it requires?
Please solve by hand and not by a computer program.
In a study of self-medication, a simple random sample of 1230 adults completed a survey. The surv...
In a study of self-medication, a simple random sample of 1230 adults completed a survey. The survey reported that 441 of the adults had a cough during the past month. (a) What hypotheses should be tested to find out whether, in the population from which the sample was drawn, less than half of the adults had a cough during the past month? (b) Choose an appropriate test, check assumptions, and find the p-value. (c) Make a decision at the α...
6.16 Is college worth it? Part I: Among a simple random sample of 331 American adults who do not have a four-year college degree and are not currently enrolled in school, 48% said they decided not to go to college because they could not afford school. (a) A newspaper article states that only a minority of the Americans who decide not to go to college do so because they cannot afford it and uses the point estimate from this survey...
The Civil War. Suppose a national survey conducted among a simple random sample of 1520 American adults, 825 indicate that they think the Civil War is still relevant to American politics and political life. Round all results to four decimal places. 1. What are the correct hypotheses for conducting a hypothesis test to determine if the majority (more than 50%) of Americans think the Civil War is still relevant. A. H0:p=0.5H0:p=0.5, HA:p≠0.5HA:p≠0.5 B. H0:p=0.5H0:p=0.5, HA:p>0.5HA:p>0.5 C. H0:p=0.5H0:p=0.5, HA:p<0.5HA:p<0.5 2. Calculate...
Among a simple random sample of 331 American adults who do not have a four-year college degree and are not currently enrolled in school, 48% said they decided not to go to college because they could not afford school. (a) A newspaper article states that only a minority of the Americans who decide not to go to college do so because they cannot afford it and uses the point estimate from this survey as evidence. Conduct a hypothesis test to...
13. A random sample of 875 students between the ages of 20 and 24 at a large midwestern university completed a survey including questions about their sleep quality, moods, academic performance, physical health and psychoactive drug use. Sleep quality was measured using the Pittsburgh Sleep Quality Index (PSQI), with students scoring less than or equal to five on the index classified as optimal sleepers, those scoring a 6 or 7 classified as borderline, and those scoring over 7 classified as...
Question 6 2.29/4 pts A study is conducted in which a random sample of adults are divided equally into two groups and given a list of words to memorize. During a break, one group takes a minute nap while another group is given a caffeine pill. The response variable of interest is the number of words participants are able to recall following the break. We are testing to see if there is a difference in the average number of words...
1. In an August 2012 Gallup survey of 1,012 randomly selected U.S. adults (age 18 and over), 53% said that they were dissatisfied with the quality of education students receive in kindergarten through grade 12. The bootstrap distribution (based on 5,000 samples) is provided. a). Would it be appropriate to use the normal distribution to construct the confidence interval in this situation? Explain briefly. b). The standard error from the bootstrap distribution is SE = 0.016. Use the normal distribution...
Based on information from a previous study, r = 34 people out of a random sample of n = 101 adult Americans who did not attend college believe in extraterrestrials. However, out of a random sample of n2 = 101 adult Americans who did attend college, '2 = 47 claim that they believe in extraterrestrials. Does this indicate that the proportion of people who attended college and who believe in extraterrestrials is higher than the proportion who did not attend...
A marketing consultant was hired to visit a random sample of five sporting goods stores across the state of California. Each store was part of a large franchise of sporting goods stores. The consultant taught the managers of each store better ways to advertise and display their goods. The net sales for 1 month before and 1 month after the consultant's visit were recorded as follows for each store (in thousands of dollars): Store 1 2 3 4 5 Before...
An organization monitors many aspects of elementary and secondary education nationwide. Their 1995 numbers are often used as a baseline to assess changes. In 1995 31% of students had not been absen rom school even once during the previous month. In he 1999 survey, responses om 45 and mi selected students showed that this figure had slipped to 30%. Officials would, of course, be concerned if student attendance were declining. Do these figures give evidence of a change in student...