For a lower tail [left side or ‘negative’ side] test, the p-value is the probability of obtaining a value for the test statistic… …as low or lower than the test statistic measured in the sample …as high or higher than the test statistic measured in the sample …within the confidence interval …equal to the level of significance

An animal rescue agent wanted to estimate the true proportion of all animals in shelters that are adopted each month. To do so, she selects a random sample of 100 animals and determines that the 95% confidence interval for the true proportion of animals adopted each month is between 0.12 and 0.24. Which of these statements is a correct interpretation of the confidence level? O Approximately 95% of all animals in the shelter were adopted. O There is a 95% probability that the true proportion of all animals in the shelter that were adopted last month is between 0.12 and 0.24. O If many random samples of size 100 are selected from all records of animals in shelters, approximately 95% of the intervals would capture the true proportion that were adopted. O Approximately 95% of the sample proportions, based on random samples of size 100 from the population of all records of animals in shelters, will fall between 0.12 and 0.24.

Suppose that in a recent poll, 550 of the 915 randomly selected U.S. adults agreed with the statement “social media sites like Facebook and Twitter do more to divide the country” (as opposed to unite the country, or neither). a. Use this information to construct a 90% confidence interval.

A survey of 1025 teens found that 20% of students aged14 to 18 plan to borrow no money to pay for college.What’s the margin of error for a 90% confidence intervalfor the proportion of all students aged 14 to 18 who planto borrow no money to pay for college?A) {1.25% B) {1.60% C) {2.06%D) {2.45% E) {21.1%