More than one teacher has given the following advice: choose answer C when blindly guessing among four answers in a multiple choice test, ? since C is more often the correct answer than either A, B, or D. Suppose that we take a random sample of $40 correct answers from multiple-choice tests for introductory college courses and obtain the information summarized by the first row of numbers in the table below. These numbers are the observed frequencies for the categories A, B, C, and D for our sample of s40 correct answers. The second row of numbers contains the frequencies expected for a sample of $40 correct answers if a correct answer is equally likely to be A, B, C, or D. The bottom row of numbers contains the following value for each of the correct answer categories A, B, C, and D. (fo-f) (Observed frequency-Expected frequency) JE Expected frequency Part 1 Fill in the missing values in the table. Round your responses for the expected frequencies to two or more decimal places. Round your responses to three or more decimal places. JE Send data to Excel Observed frequency fo Expected frequency fr A 113 135 156 с 130 D 141 135.00 135 135.00 3.59 3.267 0.185 0.267 Total 540 X Part 2 Answer the following to summarize the test of the hypothesis that each of A, B, C, and D is equally likely to be the correct answer on tests in these introductory college courses. Use the 0.10 level of significance for the test. S (a) Determine the type of test statistic to use. Type of test statistic: Chi-square (b) Find the value of the test statistic. (Round your answer to two or more decimal places.) 7.309 Degrees of freedom: 0 (c) Find the p-value. (Round your answer to three or more decimal places.) 0.0627 (d) Can we reject the hypothesis that A, B, C, and D are equally likely to be the correct answer on tests in these introductory college courses? OYes No

Virginia polled a large sample of individuals to find the percentage of students with known food allergies and the percentage of students without known food allergies. Which of the following could sufficiently display the data if only the two given categories are to be included? Select the correct answer below:   bar graph   pie chart   either a pie chart or a bar graph   neither a pie chart nor a bar graph

A biologist is studying the composition of birds on a lake and counts 61 ducks, 17 geese, 11 cranes, 15 swans, and 6 herons. From previous studies performed around the same time of the year, she expects 50% of the birds to be ducks, 23% to be geese, 12% to be cranes, 10% to be swans, and 5% to be herons. What are the expected and observed counts? Select one. Expected = 55 ducks, 25 geese, 13 cranes, 11 swans, and 6 herons Observed = 61 ducks, 17 geese, 11 cranes, 15 swans, and 6 herons Expected = 61 ducks, 17 geese, 11 cranes, 15 swans, and 6 herons Observed 55 ducks, 25 geese, 13 cranes, 11 swans, and 6 herons %3D Expected = 55 ducks, 25 geese, 13 cranes, 11 swans, and 6 herons Observed = 55 ducks, 25 geese, 13 cranes, 11 swans, and 6 herons %3D %3D Expected = 61 ducks, 17 geese, 11 cranes, 15 swans, and 6 herons Observed = 61 ducks, 17 geese, 11 cranes, 15 swans, and 6 herons

More than one teacher has given the following advice: choose answer C when blindly guessing among four answers in a multiple choice test, since C is more often the correct answer than either A, B, or D. Suppose that we take a random sample of 600 multiple-choice test answers (the correct answers from the instructor's answer sheet) from introductory college courses and obtain the information summarized by the first row of numbers in the table below. These numbers are the observed frequencies for the categories A, B, C, and D for our sample of 600 correct answers. The second row of numbers contains the frequencies expected for a sample of 600 correct answers if a correct answer is equally likely to be A, B, C, or D. The bottom row of numbers contains the following value for each of the correct answer categories A, B, C, and D.   −fOfE2   fE =   −Observed frequencyExpected frequency2   Expected frequency

The table below reveals the relative frequencies of students and how they get to and from school. Why is the lower right cell in this table 100%? is it because every row in this sort of table adds to 100? all of the other numbers in the table add to 100?  it was just a lucky set of numbers that happened to add to 100? or because 100% represents all of the students who were included in the data set?

A sample of 200 college undergraduates was collected and the student’s gender and method of getting to class that day were collected. The data appears below. Gender Drive Bike Walk Total Male 95 10 10 115 Female 65 5 15 85 Total 160 15 25 200 What proportion of the students are both female and ride a bike to class?

People often match their behavior to their social environment. One study of this idea first established that the type of music most preferred by black college students is R&B and that white college students' most preferred music is rock. Will students hosting a small group of other students choose music that matches the makeup of the people attending? Assign 9090 black business students at random to three equal‑sized groups. Do the same for 9696 white students. Each student sees a picture of the people he or she will host. Group 1 sees six blacks, Group 2 sees three whites and three blacks, and Group 3 sees six whites. Ask how likely the host is to play the type of music preferred by the other race. Use ANOVA to compare the three groups to see whether the racial mix of the gathering affects the choice of music.

A statistics teacher asked two different students, Lexie and Jennifer, to go to Wegmans and sample 30 shoppers each.  The population of interest for both people can be defined as, “People who shop at the Johnson City, NY Wegmans store”.  Here is what each person did to collect their sample:                    Lexie: She stood outside at the entrance to the store on 3 different days and times and surveyed every 15th person to walk by her.  She surveyed 10 people each time to get her 30.   Jennifer:  She went to Wegmans after her nursing shift first thing Wednesday morning to buy deodorant since she ran out.  When she was in the pharmacy area she surveyed all the people around her and then, to get up to 30 surveys, she went to the health food section and surveyed everyone she was there.     Identify at least 2 specific reasons why Lexie’s approach is more likely to give a representative sample.  Consider sources of bias, or types of shoppers who might be excluded by Jennifer’s approach.…

Hello, I was told to repost again for the multiple choice question for the Two Way Frequency table. Thank you in advance!

Suppose a community college has 10,000 students (the population). We are interested in the average amount of money a part-time student spends on books in the fall term. Asking all 10,000 students is almost an impossible task. A sample is taken using a list of students who take photography classes, and each of these students is surveyed. Do you think that this sample is representative of the entire 10,000 student population? Why or why not?