A town is organizing its annual festival. Last year it invited the local band Jim & Kim and it was a huge success. The mayor is wondering whether to invite the band again, or whether the audience may prefer a new band. Realizing that the adults and the kids may have different preferences, she surveys them separately, asking them, “Should we invite Jim & Kim this year?” She finds that: Group  Number of respondents   Number of “yes” Adults.       321                              246 Kids           430                              385 Construct a 95% confidence interval for the difference between proportions of “yes” for the two groups of people.

600 students at Drew High School were surveyed. 269 of them were males. 455 of the students' wear jewelry, and 300 of the students that wear jewelry are females.

The principal at Tahoe Elementary School randomly selected three of the school's twelve classes of students to participate in an option poll. All of the children in each of the three randomly selected classes were asked the question, "What is your favorite fruit to eat?". The following results were obtained. Apples, Grapes, Apple, Apple, Banana, Apple, Apple, Grapes, Orange, Apple, Apple, Banana, Strawberries, Apple, Apple, Grapes, Apple, Orange, Apple, Apple, Apple, Apple, Grapes, Grapes, Apple, Orange, Apple, Apple, Banana, Apple, Apple, Apple, Strawberries, Apple, Orange, Grapes, Grapes, Apple, Grapes, Grapes, Grapes, Banana, Grapes, Banana, Apple, Banana, Grapes, Apple, Banana, Strawberries, Banana, Apple, Orange, Grapes, Orange, Grapes, Apple, Orange. Use the results of this opinion poll to estimate, with 95% confidence, the actual percentage of children attending Tahoe Elementary School whose favorite fruit to eat is Grapes. Express the estimate both symbolically and verbally.

A poll was taken of 100 students at a commuter campus to find out how they got to campus. The results were as follows: 31   said they drove alone. 32   rode in a carpool. 28   rode public transportation. 4   used both carpools and public transportation. 5   used both a carpool and sometimes their own cars. 3   used buses as well as their own cars. 1   used all three methods. How many used none of the above-mentioned means of transportation?students

Does the location of your seat in a classroom play a role in attendance or grade? 1600 students in a physics course were randomly assigned to one of four groups. The 400 students in group 1 sat 0 to 4 meters from the front of the class, the 400 students in group 2 sat 4 to 6.5 meters from the front, the 400 students in group 3 sat 6.5 to 9 meters from the front, and the 400 students in group 4 sat 9 to 12 meters from the front. Complete parts (a) through (c). Click the icon to view the chi-square table of critical values. (a) For the first half of the semester, the attendance for the whole class averaged 83%. So, if there is no effect due to seat location, we would expect 83% of students in each group to attend. The data show the attendance history for each group. How many students in each group attended, on average? Is there a significant difference among the groups in attendance patterns? 3 4 Group Attendance 1 0.84 0.84 0.84 0.80 The number of students who attended in the first…

Suppose that in a survey of five-year-olds, 45% liked the letter A, 54% liked the letter B, and 50% liked the letter of C. 29% liked A and B, 28% liked A and C, 29% liked B and C, and 15% liked all of them. What percentage liked A and B but not the letter C?

600 students at Drew High School were surveyed. 269 of them were males. 455 of the students' wear jewelry, and 300 of the students that wear jewelry are females.

The manager of a theater that is open to residents of two towns, A and B, wants to know if the proportion of households from A that use the library is smaller  than the proportion of households from B. In order to test this, the  manager asks 45 households in A and 49 households in B whether anyone in their household had used the theater last summer. 23 of the households surveyed in A responded "yes", and 35 of the households in B responded "yes". Find the p-value that would be used to make a conclusion for this hypothesis test.

Example 1: The owner of a local restaurant chain in town was trying to determine the best location to open her next restaurant and she had narrowed it down to two locations. She wanted to make her decision based on how interested residents in each area were in her restaurant. So she hired an independent company to survey residents from each neighborhood to gauge their interest. In the first neighborhood, 120 residents were surveyed and 84 of them expressed interest in the new restaurant. In the second neighborhood, 200 residents were surveyed and 110 of them expressed interest in the new restaurant. Carry out an appropriate hypothesis test at the a = 0.02 level to determine if there is sufficient evidence to suggest that one neighborhood is more interested in the new restaurant than the other.

Suppose you are the manager of two beachfront hotels : The Palms and Golden Sands. You'd like to know if there is a difference in guest satisfaction between the two hotels. To investigate this, you conduct a survey and ask guests upon departure if they are likely to return to the hotel in the future. For The Palms, 163 out of 227 guests who were surveyed responded " yes ". For Golden Sands, 154 out of 262 guests responded "yes ". Answer the following questions. Round any numbers in your final answers to 2 decimals. 1) Calculate a 95 % confidence interval for the difference in satisfaction rates between The Palms and Golden Sands (Show work) 2) Use the critical value approach to test, at a 1% significance level, whether or not the guest satisfaction rates are different between the two hotels. What do you conclude ? (In your answer, show the steps involved with testing) 3) What is the p-value of your test in part 2?