Although many new moms will nurse their new babies in the beginning, the Pediatrics Association believes that 50% of moms are still nursing their babies by the time the babies are six months old. The La Leche Society believes that this proportion is less than 50% and thus believes more educa- tional information should be given to new moms to encourage the mothers to nurse for the first year of their child's life. A random sample of 425 new moms was obtained and 200 were still nurs- ing their child at six months of age. At the 2.5% significance level, what conclusion can be reached?

In 1990, 58% of Americans 18 years old and older reported they have a great deal of concern regarding air pollution. A recent poll found that 592 of 1004 Americans 18 years old or older stated that they have a great deal of concern regarding the level of air pollution in American. Is there evidence to conclude that the current proportion of Americans having a great deal of concern about the level of air pollution in America is different from the 1990 proportion, with a 10% level of significance?  State the null hypothesis, alternative hypothesis, test statistic, p-value and conclusion.

A question in a poll taken in 2007 asked, "Do you think the penalties for underage drinking should be made more strict, less strict, or remain the same?" The sample proportion that responded "more strict" was 0.61 (61%). This result will be used to estimate the proportion of all adults in the United States who think that penalties for underage drinking should be more strict. The sample consisted of n = 500 randomly selected adults in the United States Calculate a 95% confidence interval that estimates the population proportion who think that penalties for underage drinking should be more strict. (Round your answers to three decimal places.)

From the U.S. Census Bureau’s American Community Survey in 2019 it was found that 33.13%of United States residents over the age of 25 had an educational attainment of a bachelor’sdegree or higher. In the District of Columbia, the percentage of residents over the age of 25 whohad attained a bachelor’s degree or higher was 59.67%. An investigator for the U.S. CensusBureau took a random sample of seven residents from the District of Columbia and asked themtheir highest educational degree they had obtained. a) Verify that the sample from the District of Columbia satisfies the conditions of thebinomial experiment. Write one sentence to check each requirement in context of theinvestigation.b) Assuming the sample from the District of Columbia is a binomial experiment, build theprobability distribution in a single table and include the table in your solutions. You maypresent this table horizontally or vertically and leave the probabilities unrounded. Thereare two possible ways to do this:  To…