I am having trouble with these specific questions on estimating a population proportion. If I can please receive help, thank you

Chapter 7: Worksheet Section 7.1: Estimating a Population Proportion 1: Definitions: a: Point estimate. b: What are the best point estimate (as a variable/letter) for population proportion, mean, standard deviation or variance? c: Confidence Interval and confidence level. d: Margin of error. 2: In a science fair project, Emily conducted an experiment in which she tested professional touch therapists to see if they could sense her energy field. She flipped a coin to select either her right hand or her left hand and then she asked the therapists to identify the selected hand by placing their hand just under Emily's hand without touching it. Among 287 trials, the touch therapists were correct 129 times. Construct a 95% confidence inter- val estimate of the proportion of correct responses made by touch therapists. Interpreted the confidence interval. 3: In a survey of 3051 adults aged 57 through 85 years, it was found that 81.1% of them used at least one prescription medication. Construct a 90% confidence interval estimate of the percentage of adults aged 57 through 85 years who use at least one prescription medication. Interpreted the confidence interval. 4: A study of 420, 005 cell phone users found that 137 of them developed cancer of the brain or nervous system. Prior to this study of cell phone use, the rate of such cancer was found to be 0.0346% for those not using cell phones. Construct a 95% confidence interval estimate of the proportion of cell phone users who developed cancer of the brain or nervous system. Round your answer to five decimal places as needed. 5: You are the operations manager from an airline and you are considering a higher fare level for passengers in aisle seats. a: How many randomly selected air passengers must you survey? Assume that you want to be 90% confident that the sample percentage is within 5.5% of the true population percentage.b: How many randomly selected air passengers must you survey? Assume that you want to be 90% condent that the sample percentage is within 5.5% of the true population percentage. Also assume that a prior survey suggests that about 37% of air passengers prefer an aisle seat. 6: A programmer plans to develop a new software system. In planning for the operating system that he will use, he needs to estimate the percentage of computers that use a new operating system. a: How many computers must he surveyed in order to be 99% condent that his estimate is in error by no more than three percentage points? b: How many computers must he surveyed in order to be 99% condent that his estimate is in error by no more than three percentage points? Assume that a recent survey suggests that about 94% of computers use a new operating system. Section 7.2: Estimating a Population Mean 7 a. A company that produces white bread is concerned about the distribution of the amount of sodium in its bread. The company takes a simple random sample of 100 slices of bread and computes the sample mean to be 103 milligrams and a sample standard deviation of 10 mg of sodium per slice. Construct a 95% confidence interval for the mean sodium level. 8 A clinical trial was conducted to test the e'ectiveness of a drug for treating insomnia in older subjects. After treatment, 17 subjects had a mean wake time of 94.7 min and a standard deviation of 21.6 min. Assume that the 17 sample values appear to be from a normally distributed population and construct a 99% condence interval estimate of the mean wake time for a population with drug treatments. .. 9 .. Listed below are student evaluation ratings of courses, where a rating of 5 is for \"excellent\". The ratings were obtained at one university in a state. Construct a condence interval using a 99% condence level. 3.6, 2.9, 4.3, 4.8, 2.8, 4.3, 3.7, 4.3, 4.1, 4.1, 4.3, 3.7, 3.4, 3.3, 4.1