Americans are stressed out! psychologist would like to estimate the proportion of Americans that say "the future of the nation is a significant source of stress for me." To help form an estimate, the psychologist randomly selected 940 Americans and found that 56.2% of the sample agreed with the statement "the future of the nation is a significant source of stress for me." Using a 95% confidence level, determine the margin of error, E, and a confidence interval for the true proportion of all Americans that say the "the future of the nation is a significant source of stress for me." Report the confidence interval using interval notation. Round solutions to four decimal places, if necessary. The margin of error is given by E A 95% confidence interval is given by Use the Student's t-distribution to find the t-value for each of the given scenarios. Round t-values to four decimal places. Find the value of t such that the area in the left tail of the t-distribution is 0.005, if the sample size is 104. t Find the value of t such that the area in the right tail of the t-distribution is 0.1, if the sample size is 70. t Find the value of t such that the area in the right tail of the t-distribution is 0.01, if the sample size is 146. t Find the two values of t such that 98% of the area under the t-distribution is centered around the mean, if the sample size is 34. Enter the solutions using a comma-separated list. t Use the Student's t-distribution to find the t-value for each of the given scenarios. Round t-values to four decimal places. Find the value of t such that the area in the left tail of the t-distribution is 0.005, if the sample size is 40. t Find the value of t such that the area in the right tail of the t-distribution is 0.01, if the sample size is 42. t Find the value of t such that the area in the right tail of the t-distribution is 0.1, if the sample size is 59. t Find the two values of t such that 95% of the area under the t-distribution is centered around the mean, if the sample size is 55. Enter the solutions using a comma-separated list. t