In a cooking competition called Heaven's Kitchen, two teams compete against each other to serve a restaurant full of customers. The competitors cook dishes and send them to an executive chef, where it is either approved and sent to the customer, or is deemed unacceptable and sent back to the kitchen. The competition has run for the past 19 years. During the 9th annual Heaven's Kitchen competition, the Ruby team cooked a total of 131 dishes, of which 70 were sent back to the kitchen by the executive chef. In the same period, the competing Sapphire team cooked a total of 170 dishes and had 85 return. Construct a confidence interval to estimate the difference in the proportion of dishes sent back to the Ruby team and the proportion of dishes sent back to the Round each answer to 4 decimal places. Do not round from one part to the next when performing the calculations, though. a. Find the confidence interval. < P - P2 < b. Which of the following does your interval contain? O only positive values O only negative values O both positive and negative values What does this mean in terms of the population proportions?

A teacher decided to buy breakfast for her students while welcoming them during the first day of class. From these students , 22 of them want to have cereal for breakfast, 11 want bread, and 5 want both. How many students want either cereal or bread?

A movie production company is releasing a movie with the hopes that many viewers will return to see the movie in the theater for a second time. Their target is to have 30 million viewers, and they want more than 30% of the viewers to want to see the movie again. They show the movie to a test audience of 210 people, and after the movie they asked them if they would see the movie in theaters again. Of the test audience, 71 people said they would see the movie again. a. Specify the competing hypotheses to test if more than 30% of the viewers will return to see the movie again. Ho: b-1. Calculate the value of the test statistic. Note: Round final answer to 2 decimal places. Test statistic b-2. Find the p-value. O p-value < 0.01 O 0.01 < p-value < 0.025 O 0.025 s p-value < 0.05 O 0.05 s p-value < 0.10 O p-value 20.10 0.3; versus HA c. At the 5% significance level, what is the conclusion? O Reject , the population proportion is greater than 0.30. O Reject #0, the population proportion is not…

You have four pairs of socks, one pair each of red, blue, white, and green. Each morning, you reach into the drawer and pick out two random socks. How many days could go by before you picked exactly the same two colors of socks again?