A health journal found that 56.5% of college students who lived in coed dormitories consumed alcohol weekly (compared with 26.5% who lived in single-sex dormitories). A random sample of 180 students who live in coed dormitories was selected. Complete parts a through d below. a. What is the probability that more than 50% of the students in the sample consume alcohol weekly? The probability is . (Round to four decimal places as needed.)

A vaccine to prevent a severe virus was given to children within the first year of life as part of a drug study. The study reported that of the 3456bchildren randomly assigned the​ vaccine, 58 got the virus. Of the 1606 children randomly assigned the​ placebo, 46 got the virus. a. Find the sample percentage of children who caught the virus in each group. Is the sample percentage lower for the vaccine​ group, as investigators​ hoped? b. Determine whether the vaccine is effective in reducing the chance of catching the​ virus, using a significance level of 0.01.The first few steps of the​ hypothesis-testing procedure are given. Complete the procedure.

Explain if there was a statistically significant difference between the group means. did you arrive at your conclusion?

According the the U.S. Census bureau, the percentage of Santa Ana residents with a bachelor's degree or higher is 14% and the percentage of Irvine residents with a bachelor's degree or higher is 68.5%. Suppose that the sample sizes were 1000 for the Santa Ana group and 1000 for the irvine group. Is there enough evidence to conclude that people who live in Irvine have a higher level of education compared to people living in Santa Ana?

2. A study for adverse reactions assigned adults at random to one of two common pain relievers (ibuprofen and acetaminophen). It was found that out of 733 adults who were administered ibuprofen, 103 of them experienced an adverse reaction, and out of 732 adults who were administered acetaminophen, 85 of them experienced an adverse reaction. Let p1 denote the proportion of adults who experience an adverse reaction when taking ibuprofen and let p2 denote the proportion of adults who experience an adverse reaction when taking acetaminophen. Suppose we want to answer the following questions. i) Test, at the 3% level of significance, whether the proportion of adults who experience an adverse reaction when taking ibuprofen is greater than the proportion of adults who experience an adverse reaction when taking acetaminophen. ii) Calculate the 97% confidence interval for p1 - P2. The table below provides the information needed to perform the hypothesis test: Value x1 103.0000 85.0000 733.0000…

2. A study for adverse reactions assigned adults at random to one of two common pain relievers (ibuprofen and acetaminophen). It was found that out of 733 adults who were administered ibuprofen, 103 of them experienced an adverse reaction, and out of 732 adults who were administered acetaminophen, 85 of them experienced an adverse reaction. Let p1 denote the proportion of adults who experience an adverse reaction when taking ibuprofen and let p2 denote the proportion of adults who experience an adverse reaction when taking acetaminophen. Suppose we want to answer the following questions. i) Test, at the 3% level of significance, whether the proportion of adults who experience an adverse reaction when taking ibuprofen is greater than the proportion of adults who experience an adverse reaction when taking acetaminophen. ii) Calculate the 97% confidence interval for p1 - P2. The table below provides the information needed to perform the hypothesis test: Value x1 103.0000 85.0000 733.0000…

A real-estate appraiser wants to verify the market value for homes on the east side of the city that are very similar to size and style. The appraiser wants to test the popular belief that the average sales price is $37.80 per square foot for such homes. Suppose that a random sample of six sales were selected. The sampled sales prices per square foot are $35.00, $38.10, $37.20, $29.80, $30.30, and $35.40. Assuming a normal distribution is a good model for sales, test the claim that the mean sales price per square foot differs from $37.80 at the 1% significance level.

According to the National Center for Education Statistics, 43% of the college students work full time. A survey of 900 randomly selected college students is to be conducted. For such groups of 900, would it be unusual to get 735 college students who work fulltime?

2. A study for adverse reactions assigned adults at random to one of two common pain relievers (ibuprofen and acetaminophen). It was found that out of 733 adults who were administered ibuprofen, 103 of them experienced an adverse reaction, and out of 732 adults who were administered acetaminophen, 85 of them experienced an adverse reaction. Let p1 denote the proportion of adults who experience an adverse reaction when taking ibuprofen and let p2 denote the proportion of adults who experience an adverse reaction when taking acetaminophen. Suppose we want to answer the following questions. i) Test, at the 3% level of significance, whether the proportion of adults who experience an adverse reaction when taking ibuprofen is greater than the proportion of adults who experience an adverse reaction when taking acetaminophen. ii) Calculate the 97% confidence interval for p1 - P2. The table below provides the information needed to perform the hypothesis test: Value x1 103.0000 85.0000 733.0000…