Hi, I need help with the following stats questions. Your help will be greatly appreciated and I'll leave a thumbs up!

References:

Appendix: https://www.webassign.net/aswsbe13/appendix-b.pdf

Distribution Tables: https://www.webassign.net/tparise/beta/stats/distributionIndex.html

One of the questions on a survey asked adults a series of questions on attitudes toward automation. The results showed that 2,978 out of 4,135 respondents are worried about a future in which robots and computers can do many human jobs; 2,772 are worried about the development of algorithms that can evaluate and hire job candidates; and 2,238 are worried about the development of driverless vehicles. (Round your answers to four decimal places.) (3) Develop a point estimate of the proportion of respondents who are worried about a future in which robots and computer can do many human jobs. (b) Develop a point estimate of the proportion of respondents who are worried that the development ofalgorithms that can evaluate and hire job candidates. (c) Develop a point estimate of the proportion of respondents who are worried about the development of driverless vehicles. E Suppose a random sample of size 30 is selected from a population with o = 10. Find the value of the standard error of the mean in each of the following cases. (Use the finite population correction factor if appropriate. Round your answers to two decimal places.) (a) The population size is infinite. (b) The population size is N = 30,000. (c) The population size is / = 3,000. (d) The population size is N = 300.You may need to use the appropriate appendix table or technology to answer this question. The Wall Street Journal reports that 33% of taxpayers with adjusted gross incomes between $30,000 and $60,000 itemized deductions on their federal income tax return. The mean amount of deductions for this population of taxpayers was $16,642. Assume the standard deviation is (I = $2,400. (a) What is the probability that a sample of taxpayers from this income group who have itemized deductions will show a sample mean within $200 of the population mean for each of the following sample sizes: 30, 50, 100, and 500? (Round your answers to four decimal places.) sample size n : 30 \\:| sample size n : 50 \\:| sample size n : 100 \\:| sample size n : 500 \\:| (b) What is the advantage of a larger sample size when attempting to estimate the population mean? 0 A larger sample lowers the population standard deviation. O A larger sample increases the probability that the sample mean will be a specied distance away from the population mean. 0 A larger sample has a standard error that is closer to the population standard deviation. 0 A larger sample increases the probability that the sample mean will be within a specied distance of the population mean. You mayr need to use the appropriate appendix table or technology to answer this question. A population proportion is 0.30. A sample of size 300 will be taken and the sample proportion Ewill be used to estimate the population proportion. (Round your answers to four decimal places.) (a) What is the probability that the sample proportion will be within i0.03 of the population proportion? |:| (b) What is the probability that the sample proportion will be within i0.05 of the population proportion? |:|