I can't get "b"
a and c are correct
Three separate random samples of students (one sample selected from each of three different colleges) were selected in order to estimate the population percentage of students at each college who are sophomores.
Sample 1: 110 students were selected from among all those attending college number 1 and 30 of them were found to be sophomores.
Sample 2: 65 students were selected from among all those attending college number 2 and 10 of them were found to be sophomores.
Sample 3: The sample from college number 3 showed that 30% of students were sophomores with a margin of error of (plus or minus) 10%.
(NOTE: You should only enter numbers in the blanks provided. For example, to enter "20%" you would type "20" in the blank.)
(a) If sample 1 is used to estimate the population percentage of students at college number 1 who are sophomores, what is the margin of error?
Enter the margin of error as a percentage rounded to one decimal place: percent.
(b) If sample 2 is used to estimate the population percentage of students at college number 2 who are sophomores, what is the margin of error?
Enter margin of error as a percentage rounded to one decimal place: percent.
(c) If sample 3 is used to estimate the population percentage of students at college number 3 who are sophomores, then an interval that "almost certainly" contains the true population percentage is: percent to percent. (Enter lower-bound in first blank and upper-bound in second blank.)
In the test of hypothesis, the margin of error is a central concept . It is used to measure the confidence interval at a specific level of significance. The formula for computing the margin of error is
Trending nowThis is a popular solution!
Step by stepSolved in 2 steps
That is what I got but the platform we are using says the answer is incorrect. Thank you so much though!!
That is what I got but the platform we are using says the answer is incorrect. Thank you so much though!!
- Consider the patient data in the table below.Suppose that patients are randomly selected withreplacement from the total for hospital 4.What is the smallest sample size needed so that theprobability is at least 90% that at least one patient isLWBS?arrow_forwardThe question is in the attachmentarrow_forwardAn article about the California lattery gave the following information on the age distribution of adults in California: 35% are between 18 and 34 years old, 51% are between 35 and 64 years old, and 14% are 65 years old or older. The artide also gave Information on the age distribution of those who purchase lottery tickets. The following table is consistent with the values given in the article. Suppose that the data resulted from a random sample of 200 lattery ticket purchasers. Based on these sample data, is it reasonable to condude that ane or more af these three age groups buys a disproportionate share of lottery tickets? Use a chi-square goodness-of-fit test with a- 0.05. (Round your answer to two decimal places.) Age of Purchaser Frequency 18-34 45 35-64 100 65 and over 55 P-value interval Oparrow_forwardJulius has conducted a very small study of the amount of sleep his dorm mates get each night. He believes that those who are on one of the school’s sports teams will get more sleep (measured in hours per night) than those who are not. Julius surveyed 12 people. Of these, 6 played on a sports team and 6 did not. The descriptive statistics from his survey are given below. PLAYS SPORTS (Sample 1) DOES NOT PLAY SPORTS (Sample 2) 8 6 9 6 8 5 7 7 8 7 7 6 What is the critical value for this test? what is the t-obtain value for this t-test? Based on your t-obtained value, what should you conclude about the null hypothesis for this test?arrow_forwardASAParrow_forwardThe following table shows the ethnic origins of two random samples of students from a Canadian university, one from 2012 and the other from 2022: European 2012 2022 African Asian 308 58 52 364 100 58 Note: Canadian born students are classified according to their ancestry. (a) What would be an appropriate test to check if there has been an overall change in the distribution of ethnic origins among the student population of that university between 2012 and 2022? Justify your answer. ] Other 22 38 (b) Based on your answer in (a) above, test whether there has been an overall change in the distribution of ethnic origins among the student population of that university between 2012 and 2022. Use a 5% significance level and show your detailed manual calculations and all the steps of your hypothesis test (hypotheses, significance level, expected cell frequencies (rounded to 1 decimal), test statistic, decision criteria, critical value and p-value, conclusion with justification). (Manual…arrow_forwardApproximately 8% of males experience red-green color blindness. Suppose a random sample of 200 men is chosen.arrow_forwardThese questions are togetherarrow_forwardOne cable company advertises that it has excellent customer service. In fact, the company advertises that a technician will be there within 30 minutes of when a service call is placed. One frustrated customer believes this is not the truth, claiming that it takes over 30 minutes for the cable repairman to arrive. The customer asks 15 of his neighbors how long it has taken for the cable repairman to arrive when they have called for him. The sample mean for this group is 32.2 minutes with a sample standard deviation of 3.6 minutes. Test the customer’s claim at the 0.02 level of significance. (a) State the null and alternative hypotheses (b) Find the value of your test statistic. Draw a picture and label its location on the normal curve. Also shade the area where you will find the p-value. (c) Calculate the p-value from the sample data. Compare it to the significance level. Label it’s value and location on your bell curve (d) Write a full…arrow_forwardTwelve HSS students have been randomly assigned to one of three different statistics classes: one is taught by Professor Lavigne, another is taught by a monkey, and the last group has no professor and requires that students learn on their own. Here are the data: Final grade in class: Prof Lavigne: 67,74,82,55 Monkey: 43,66,52,10 No professor: 97,87,86,78 We now want to figure out if the average final grade in each class is different from one another. What kind of analysis does this require? One-way ANOVA A series of two-sample t-tests A series of one-sample t-tests None of the above What degrees of freedom are needed to answer the following question: Are average final grades statistically different in each group? 10 11 2 and 9 3 and 12 No degrees of freedom can be usedarrow_forwardTo evaluate the current status of physical activity in university students at BU, a student in Business surveyed students from their class by randomly selecting 12 rows and collecting data one 2 people from each of the selected rows. The question asked: "How many hours per week do you exercise?" What is the sample? O Students in Business at BU. O The 24 surveyed students. O Students at BU Everyone at BU. ONone of the above.arrow_forwardarrow_back_iosarrow_forward_ios
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
- Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman