he 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

Among college students, the proportion p who say they're interested in their congressional district's election results has traditionally been 75%. After a series of debates on campuses, a political scientist claims that the proportion of college students who say they're interested in their district's election results is more than 75%. A poll is commissioned, and 212 out of a random sample of 275 college students say they're interested in their district's election results. Is there enough evidence to support the political scientist's claim at the 0.10 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H₁. HO H₁ :0 (b) Determine the type of test statistic to use. (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 (d) Find the critical…

There are two main fishing spots in a certain video game, a river and a lake. In the river, out of the 57 fish that were caught, 31 of them were trout. In the lake, out of the 64 fish that were caught, 24 of them were trout. Use a significance level of a = 0.02 to test the claim that the proportion of trout in the river is greater than the proportion of trout in the lake. Let the river represent population 1, and the lake represent population 2. a.) State the null and alternative hypothesis using correct symbolic form. Ho: P1 P2 H1: P1 + P2 b.) What is the critical value? (round to two decimal places)

Suppose a survey conducted in 2012 asked a group of adults from a certain country whether they drink seltzer water. Of the 3,062 people who responded, 22.8% said they drink seltzer water. Complete parts a through d. a. Identify the sample. What is the sample? A. The group of adults in the particular country who did not respond to the survey B. The 22.8% who reported they drink seltzer water C. The 3,062 people who responded D. All adults in the particular country b. Identify the population. What is the population? A. All of the adults in the world B. The 22.8% of respondents in the survey who reported they drink seltzer water C. All of the adults in the particular country D. The 3,062 people who responded to the survey

For the three-part question that follows, provide your answer to each question in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C.Use the information below for Part A, Part B, and Part C. Every person at the park received a ticket. Of those tickets, only 45 were winning tickets. In a random sample of 25 people, 2 people had winning tickets.Part A: Write a ratio to represent the number of winning tickets to all tickets in the sample population.Part B: Make a reasonable claim or prediction about the population at the park.Part C: Justify your answer to Part B by showing your work.

The owner of a popular coffee shop wants to determine if there is a difference between the proportion of customers who use their own cups when they purchase a coffee beverage, and the proportion of customers who use their own cups when they purchase an espresso beverage. Customers using their own cups get a 5% discount, which is displayed on the receipt. The owner randomly selects 50 receipts from all coffee purchases and 50 receipts from all espresso purchases. For coffee purchases, 24 receipts showed that the customer used their own cup. For espresso purchases, 18 receipts showed that the customer used their own cup. Assuming the conditions for inference have been met, what is the 99% confidence interval for the difference in proportion of customers who use their own cups? Find the z-table here. O (0.48 - 0.36) ±2.58/ 0.48(1–0.48) , 0.36(1–0.36) 50 50 0.48(1-0.48) 0.36(1-0.36) (0.48 - 0.36) ±2.33/ 50 50 O (0.52 - 0.64)±2.58 0.52(1-0.52) 0.64(1-0.64) + 100 100 0.52(1-0.52) ,…

A consumer agency wants to determine which of two laundry detergents, A or B, cleans clothes better. Fifty pieces of fabric are subjected to the same kinds of stains (grass, mud, coffee). Then 25 pieces are randomly assigned to be cleaned with detergent A and the remaining 25 pieces are cleaned with detergent B. After being laundered, the pieces of fabric are rated on a scale from 1–10, with 1 being the least clean to 10 being the most clean. The difference in mean ratings (A – B) was determined to be 1.5. Assuming there is no difference in the two detergents, 200 simulated differences in sample mean ratings are displayed in the dotplot.   Using the dotplot and the difference in mean ratings from the samples, is there convincing evidence that the one detergent is better than the other? Yes, because a difference in mean rating of 1.5 or more occurred only 23 out of 200 times, meaning the difference is statistically significant and there is convincing evidence that A is more effective…

The Consumer Reports Restaurant Customer Satisfaction Survey is based upon 148,599 visits to full-service restaurant chains.t One of the variables in the study is meal price, the average amount paid per person for dinner and drinks, minus the tip. Suppose a reporter for the Sun Coast times thought that it would be of interest to her readers to conduct a similar study for restaurants located on the Grand Strand section in Myrtle Beach, South Carolina. The reporter selected a sample of 8 seafood restaurants, 8 Italian restaurants, and 8 steakhouses. The following data show the meal prices ($) obtained for the 24 restaurants sampled. Italian Seafood Steakhouse $12 $16 $24 13 18 19 15 17 23 17 26 25 18 23 21 20 15 22 17 19 27 24 18 31 Use a = 0.05 to test whether there is a significant difference among the mean meal price for the three types of restaurants. State the null and alternative hypotheses. O Ho: ralian * lseafood * lsteakhouse H: talian = lSeafood = ASteakhouse O Ho: Not all the…

Among college students, the proportion p who say they're interested in their congressional district's election results has traditionally been 75%. After a series of debates on campuses, a political scientist claims that the proportion of college students who say they're interested in their district's election results is more than 75%. A poll is commissioned, and 217 out of a random sample of 265 college students say they're interested in their district's election results. Is there enough evidence to support the political scientist's claim at the 0.05 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H and the alternative hypothesis H₁. H₁ :0 H₁ :0 (b) Determine the type of test statistic to use. (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the critical…

After once again losing a hockey game to the Michigan Tech,the alumini association of NMU conducted a survey to see if alumini were in favour of firing the coach.A simple random sample of 100 alumini from the population of all living alumini was taken .Sixty-four of the alumini in the sample were in favour   of firing the coach.Let p represent the proportion of all living alumini who favor firing the coach. what is a 99% confidence interval for p?