I am needing help with this homework please for Sta 210

Read each question carefully. Write answers in the blanks provided. As needed, round to three decimal places. Constructing a Confidence Interval A researcher randomly sampled 400 nurses and found that 38 of them are male. Suppose the researcher wants to estimate the percent of all nurses that are male. Use this information to answer questions 1-3. 1) Find the point estimate (sample percentage). 2) Calculate the Margin of Error (error tolerance) for a 99% confidence interval. 3) Construct a 99% confidence interval. A biologist is testing a new fertilizer for the growth of a certain plant. The measurement of interest is the height of the plants after 8 weeks of feeding the fertilizer. A random sample of 80 plants yields a sample mean of 21.7 inches. Assume the population standard deviation is 5.1 inches. Use this information to answer questions 4-5. 4) Calculate the margin of error (error tolerance) for a 95% confidence interval. 5) Construct a 95% confidence interval. Interpreting a Confidence Interval 6) Interpret the 99% confidence interval created in question 3. 7) Interpret the 95% confidence interval created in question 5. 8) Based on you answer to question 5, is there enough evidence to conclude the population mean height is greater than 20 inches? Explain