A market-research firm was hired to determine the percentage of people in a market area who would purchase a client’s magazine if a door-to-door sales campaign were undertaken. The firm stated that 40% would buy if contacted at home. Suppose the marketing company has tried the sales campaign at 300 randomly selected homes. (150–225 words, or 2–3 paragraphs) Assuming the market research was done properly and the 40% is representative, how many sales are expected if the publisher attempts to sell to 5,000 homes? If the market research was accurate, what is the probability that fewer than 100 individuals will buy? Use the normal approximation to the binomial. Suppose that the publisher actually sells the magazine to 70 people out of the 300 contacted. What would you conclude about the market research? About the campaign?

Acell phone company offers two plans to its subscribers. at the time new subscribers sign up, they are asked to provide some demographic information. the mean yearly income for a sample of 40 subscribers to plan a is $45,000 with a standard deviation of $9,200. for a sample of 25 subscribers to plan b, the mean income is $64,300 with a standard deviation of $7,100. at the 0.025 significance level, is it reasonable to conclude the mean income of those selecting plan b is larger? assume unequal population standard deviations. hint: for the calculations, assume the plan a as the first sample. what is the decision rule? (negative amount should be indicated by a minus sign. round your answer to 3 decimal places.) compute the value of the test statistic. (negative amount should be indicated by a minus sign. round your answer to 2 decimal places.) what is your decision regarding h0 ? reject h0 fail to reject h0 compute the p-value. less than 0.01 between 0.01 and 0.025 between 0.025 and 0.05 between 0.05 and 0.10 greater than 0.10