A local men's clothing store is being sold.  From a previous inventory analysis, the current owners determined that 42% of the merchandise was outdated. The buyers would like a more current estimate of the proportion of items that are outdated. They will choose a random sample from the 100,000 items in the store's inventory in order to determine the proportion of merchandise that is outdated.  What size sample do the buyers need in order to be 99% confident that the margin of error of their estimate is about 0.05?

Hurricane Andrew swept through southern Florida causing billions of dollars of damage. Because of the severity of the storm and the type of residential construction used in this semitropical area, there was some concern that the average claim size would be greater than the historical average hurricane claim of $25,500. Several insurance companies collaborated in a data gathering experiment. They randomly selected 26 homes and sent adjusters to settle the claims. In the sample of 26 homes, the average claim was $28,000 with a population standard deviation of $6300. Is there sufficient evidence at a 0.01 significance level to support the claim that the home damage is greater than the historical average? Assume the population of insurance claims is approximately normally distributed. Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. Ho 25,500 Ha H. 25,500

A drug company is testing a new pain relief. They select 100 arthritics. Patient and conduct a double blind test of the drug to see if there are any unwanted side effects.  23% Report that they experienced unwanted side effects. Need any sample statistics

There are 435 seats in a​ nation's House of Representatives. The number of representatives per state is calculated using a statistical formula determined by​ law, but allocation is roughly proportionate to population. In​ 2010, the​ nation's population was estimated to be 309.1 million. The​ state's population was estimated at 26.1 million. How many representatives would you expect to be assigned to the​ state? Suppose the state actually has 34 representatives. Compare this with the expected number of representatives from the state.

A community college professor is interested in determining the relationship between the number of posts students make on Schoology and their respective grades. He planned to correlate the results from a sample from all his classes, however, due to time constraints, he decided to sample only from students with high grades. As his statistical consultant, state whether or not you support his plans and why.