# The following 5 questions are based on this information. Census…

Question Answered step-by-step The following 5 questions are based on this information. Census… The following 5 questions are based on this information. Census indicates that the proportion of adult women in the United States is 49% (p=0.49).We plan to take a random sample of 300 U.S. adults.  1)The sampling distribution of  p¯ is2)The standard error (SE) of   p¯  is3)What is the probability that a random sample of 300 U.S. adults will provide a sample proportion (p¯) that is within 0.04 of the population proportion (p)? 4)What is the probability that a random sample of 300 U.S. adults will provide a sample proportion (p¯) that is within 0.07 of the population proportion (p)?5)Say, you took a random sample of 300 U.S. adults, and found out that the sample proportion (p¯) for this sample to be 0.38 (or 38%). In light of the result from the PRECEDING question,  please show step by step, equations .dumbproof it to the best of your abilityplease dont type like this P[ |X(bar)-µ| <25]=P[ |(X(bar)-µ)/(?/sqrt(n))| <25/(132/sqrt(200))]=P [ |Z|<2.678]=P(-2.678