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- The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level. Step 1 of 2: Suppose a sample of 292 tenth graders is drawn. Of the students sampled, 240 read above the eighth grade level. Using the data, estimate the proportion of tenth graders reading at or below the eighth grade level. Enter your answer as a fraction or a decimal number rounded to three decimal places.#3 CI proportions 107 students at a college were asked whether they had completed their required English 101 course, and 57 students said "yes". Find the best point estimate for the proportion of students at the college who have completed their required English 101 course. _____________Round to four decimal places.The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level. Step 1 of 2: Suppose a sample of 333 tenth graders is drawn. Of the students sampled, 260 read above the eighth grade level. Using the data, estimate the proportion of tenth graders reading at or below the eighth grade level. Enter your answer as a fraction or a decimal number rounded to three decimal places. Step 2 of 2: Suppose a sample of 333 tenth graders is drawn. Of the students sampled, 260 read above the eighth grade level. Using the data, construct the 80% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level. Round your answers to three decimal places.
- Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well as on the accuracy and completeness of your results and explanations. At a financial institution, a fraud detection system identifies suspicious transactions and sends them to a specialist for review. The specialist reviews the transaction, the customer profile, and past history. If there is sufficient evidence of fraud, the transaction is blocked. Based on past history, the specialist blocks 40 percent of the suspicious transactions. Assume a suspicious transaction is independent of other suspicious transactions. (a) Suppose the specialist will review 136 suspicious transactions in one day. What is the expected number of blocked transactions by the specialist? Show your work. (b) Suppose the specialist wants to know the number of suspicious transactions that will need to be reviewed until reaching the first transaction that will be…One question in the General Social Survey asks, “Do you think that it should be government’s responsibility to reduce income differences between the rich and the poor?” Those answering yes in a recent survey included 90 of the 142 respondents who called themselves “strong Democrat” in political party identification and 26 of the 102 who called themselves “strong Republican.” Question: Find the point estimate (n) of the proportion answering yes for each group. What is the point estimate for strong Democrat and strong RepublicansDoritos chips are one of the most popular chips in the year 2020. Frito-Lay produces snack-sized bags of Doritos with 1.75-ounce bags. Unfortunately, Frito-Lay has received many complaints that the bags of chips lack the promised amount of chips. PepsiCo, the owner of Frito-Lay, decide to run an internal investigation of their Doritos chip production. They sample around 500 bags of chips to discover that they found an average of 1.59 ounces with a standard deviation of .12 ounces. Conduct a hypothesis test with an alpha-level of .05. Should they change their production of Doritos chips to match the 1.75 ounces on the bag?
- The National Council of Small Businesses is interested in the proportion of small businesses that declared Chapter 11 bankruptcy last year. Since there are so many small businesses, the National Council intends to estimate the proportion from a random sample. Let p be the proportion of small businesses that declared Chapter 11 bankruptcy last year. (a) If no preliminary sample is taken to estimate p, how large a sample is necessary to be 99% sure that a point estimate p̂ will be within a distance of 0.080 from p? (b) In a preliminary random sample of 30 small businesses, it was found that fourteen had declared Chapter 11 bankruptcy. How many more small businesses should then be included in a sample to be 99% sure that a point estimate p̂ will be within a distance of 0.080 from p?The university administrator wants a quick estimate of the average course size, i.e. how many students are enrolled in one course on average. However, since he does not want the faculty to find out about his interest, he has decided to use the students as his help. He has decided to randomly select 100 students to find out and report to him the number or numbers of students in his course or courses. Thus, his estimate of the average course size is the average of the numbers reported by the students.(a) Does such a procedure serve his purpose?(b) If you answered yes to the previous question, explain why. If you answered no to the previous question, present a more efficient way.Compute the point estimate for the difference between the means. Report the standard error of the difference between the sample means. Round the three decimals. Report the margin of error. Round to three decimals.
- Second loan Exercise 23 describes the loan score methoda bank uses to decide which applicants it will lend money.Only if the total points awarded for various aspects of anapplicant’s financial condition fail to add up to a minimumcutoff score set by the bank will the loan be denied.a) In this context, what is meant by the power of the test?b) What could the bank do to increase the power?c) What’s the disadvantage of doing that?Every 5 years a city conducts a survey of residents to collect data on various political, economic, an health indicators. With a new survey coming this year the mayor is especially concerned with jobs and the economy. In the last survey only 41% of people in the city said they felt very secure in their job. The mayor wants to be able to estimate that proportion for this year to within a margin of error of +/- 2%. How large of a sample will be needed.Prof. Leen wants to estimate the more than 92% percent of adults living in a large city have cell phones. Prof. Leen randomly selects 160 adult residents to determine whether they have cell phones. Of the 160 people sampled, 155 own cell phones. Find the p-value for the test. (Round the answer to three decimal places.)
