Is college worth it? Part I. Among a simple random sample of 331 American adults who do not have a four- year college degree and are not currently enrolled in school, 48% said they decided not to go to college because they could not afford school. A newspaper article states that only a minority of the Americans who decide not to go to college do so because they cannot afford it and uses the point estimate from this survey as evidence. Conduct a hypothesis test to determine if these data provide strong evidence supporting this statement. Write the hypotheses for this test. Ho:p ? HA:P ? What is the p-value? (Round to four decimal places, if necessary. If '<0.0001 enter 0.)

A researcher wants to see if police officers’ enthusiasm for their jobs changes after having endured a horrific event (such as killing someone or being shot).  She tests a group of officers who have endured such an event and another group that has not on a measure of job satisfaction. What test should she run?  Is it one-tailed or two-tailed test?

David McCandless, Lee Byron, and their team scanned more than 10,000 Facebook status updates and set out to learn more about the timing of relationship breakups. They found that there was a peak in breakups on Valentine’s Day and Mondays with a dip on Christmas Day. [Source: McCandless, D. (July 2010). The beauty of data visualization. TEDGlobal talks.] Suppose you are a researcher. You conduct a hypothesis test to determine whether the mean number of breakups on Sundays is lower than the mean number of daily breakups. Assume that the mean number of daily breakups is 10.3 breakups (the population mean). You obtain a sample of 10,000 Facebook status updates, which yields a sample mean of M = 11.4 breakups. Let μ denote the mean number of breakups on Sundays. Formulate your null and alternative hypotheses by selecting the appropriate values in the blue dropdown menus that follow. H₀:    blank, blank, blank          H₁:                blank, blank, blank     the test you…

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.)