and ˆpp^ (p-hat) =0.52, find the margin of error at a 99% confidence level Give your answer to three deci

Slove the Following: #1. If n=490 and ˆpp^ (p-hat) =0.46, find the margin of error at a 99% confidence level. Give your answer to three decimals #2.  In a recent poll, 340 people were asked if they liked dogs, and 31% said they did. Find the margin of error of this poll, at the 95% confidence level. Give your answer to three decimals   #3. If n = 540 and ˆpp^ (p-hat) = 0.7, construct a 99% confidence interval.Give your answers to three decimals.   #4. Out of 300 people sampled, 279 had kids. Based on this, construct a 90% confidence interval for the true population proportion of people with kids. Give your answers as decimals, to three places.   #5. A political candidate has asked you to conduct a poll to determine what percentage of people support her.If the candidate only wants a 4% margin of error at a 95% confidence level, what size of sample is needed? Give your answer in whole people.   #6.  Assume that a sample is used to estimate a population proportion p. Find the 90%…

If n=570 and ˆpp^ (p-hat) =0.89, find the margin of error at a 95% confidence levelGive your answer to three decimals

Suppose the scores of students on an exam are normally distributed with a mean of 376 and a standard deviation of 30. Then approximately 95% of the exam scores lie between the integers _ & _ such that the mean is half way between these two integers. I know the answers are 316 and 436. But I don't know how they got them. I cannot use excel and so I need help to solve this by hand. Thanks so much in advance!