Towork as a flight attendant for United Airlines, you must be between 5'2" and 6' tall. (source: www.ual.com). The height of 20-to 29-year-old maleshasa mean of 70.4" and a standard deviation of 3". The height of 20-to 29-year-old femaleshasa mean of 65.1" and a standard deviation of 2.6". A random sample of 500 20-to 29-year-old people from the Midwest and 350 20-to 29-year-old people from the Northeast found that 82 from the Midwest and 65 from the Northeast did not meet the height requirement to work as a flight attendant.

How large, if any, is the difference between the proportion of people from the Midwest States and those in the Northeastern states who are eligible to work as United Airlines flight attendants.

1) Determine the p-value

I know using excel the p-value is 0.4100 going out to 4 places. I have to show my work and don't understand the steps to reach this value. Please include calculations.

6.28 Prenatal vitamins and Autism. Researchers studying the link between prenatal vitamin use andautism surveyed the mothers of a random sample of children aged 24 - 60 months with autism and conductedanother separate random sample for children with typical development. The table below shows the number ofmothers in each group who did and did not use prenatal vitamins during the three months before pregnancy(Periconceptional period).29

6.28 Prenatal vitamins and Autism. Researchers studying the link between prenatal vitamin use and autism surveyed the mothers of a random sample of children aged 24 - 60 months with autism and conducted another separate random sample for children with typical development. The table below shows the number of mothers in each group who did and did not use prenatal vitamins during the three months before pregnancy (periconceptional period).29 Autism Autism Typical development Total Periconceptional No vitamin 111 70 181 prenatal vitamin Vitamin 143 159 302 Total 254 229 483