A recent survey showed that a majority of Americans plan on doing their holiday shopping online because they don’t want to spend money on gas driving from store to store (SOASTA website, October 24, 2012). Suppose we have a group of 10 shoppers; 7 prefer to do their holiday shopping online and 3 prefer to do their holiday shopping in stores. A random sample of 3 of these 10 shoppers is selected for a more in-depth study of how the economy has impacted their shopping behavior. a. what is the probability that exactly 2 prefer shopping online? b. what is the probability that the majority (either 2 or 3) prefer shopping online?

Swearing is a common, almost reflexive, response to pain. Whether you knock your shin into the edge of a coffee table or smash your thumb with a hammer, most of us respond with a streak of obscenities. One question, however, is whether swearing has any effect on the amount of pain that you feel. To address this issue, Stephens, Atkins, and Kingston (2009) conducted an experiment comparing swearing with other responses to pain. In the study, participants were asked to place one hand in icy cold water for as long as they could bear the pain. Half of the participants were told to repeat their favorite swear word over and over for as long as their hands were in the water. The other half repeated a neutral word. The researchers recorded how long each participant was able to tolerate the ice water. After a brief rest, the two groups switched words and repeated the ice water plunge. Thus, all the participants experienced both conditions (swearing and neutral) with half swearing on their first…

A report described teens' attitudes about traditional media, such as TV, movies, and newspapers. In a representative sample of American teenage girls, 42% said newspapers were boring. In a representative sample of American teenage boys, 45% said newspapers were boring. Sample sizes were not given in the report. (a) Suppose that the percentages reported had been based on a sample of 50 girls and 40 boys. Is there convincing evidence that the proportion of those who think that newspapers are boring is different for teenage girls and boys? Carry out a hypothesis test using a = 0.05. (Use Pgirls - Pboys.) Find the test statistic. (Round your answer to two decimal places.) Z = USE SALT Find the P-value. (Round your answer to four decimal places.) P-value = State your conclusion. O Reject Ho. We do not have convincing evidence that the proportion of girls who say that newspapers are boring is different from the proportion of boys who say that newspapers are boring. O Fail to reject H. We…

A Pew Research study conducted in 2017 found that approximately 75% of Americans believe that robots and computers might one day do many of the jobs currently done by people.† Suppose we have the following data collected from nurses, tax auditors, and fast-food workers in which a higher score means the person feels his or her job is more likely to be automated. Nurse TaxAuditor Fast-FoodWorker 3 4 5 4 5 8 6 4 6 2 4 8 3 6 5 3 3 6 4 5 6 5 3 4 (a) Use ? = 0.05 to test for differences in the belief that a person's job is likely to be automated for the three professions. State the null and alternative hypotheses. H0: μNurse = μTax auditor = μFast-food worker     Ha: μNurse ≠ μTax auditor ≠ μFast-food worker H0: At least two of the population means are equal.     Ha: At least two of the population means are different.     H0: Not all the population means are equal.     Ha: μNurse = μTax auditor = μFast-food worker H0: μNurse = μTax auditor = μFast-food worker     Ha:…