In a recent year, 77.8% of recorded music sales were full-length cds, 12.8% digital downloads, 3.8% singles, and the rest a mixture of other formats. a survey of college students and their recent music purchases indicated that out of 200 purchases, 48 were downloads, 135 were full-length cds, 10 were singles, and the rest fit into the "other" category. at the 0.05 level of significance is there sufficient evidence to conclude that at least one of the proportions differs from its original value?

Unaware that 35% of the 10000 voters in his constituency support him, a politician decides to estimate his political strength. a sample of 200 voters shows that 40% support him. a. what is the population? b. what is the parameter of interest? state its value c. what is the statistics of the interest? state its value d. compare your answers in (b) and (c) is it surprising they are different? if the politician were to sample another 200 voters, which of the two numbers would most likely change? explain