8.17Guitar Hero and Rock Band.An electronic survey of 7,061 players of Guitar Hero andRock Band reported that 67% of those who do not currently play a musical instrument said thatthey are likely to begin playing a real musical instrument in the next two years. The reportsdescribing the survey do not give the number of respondents who do not currently play a musicalinstrument.(a)Explain why it is important to know the number of respondents who do not currently playa musical instrument.(b)Assume that half of the respondents do not currently play a musical instrument. Find thecount of players who said that they are likely to begin playing a real musical instrument inthe next two years.(c)Give a 99% confidence interval for the population proportion who would say that they arelikely to begin playing a real musical instrument in the next two years.(d)The survey collected data from two separate consumer panels. There were 3300respondents from the LightSpeed consumer panel and the others were from Guitar Centersproprietary consumer panel. Comment on the sampling procedure used for this survey andhow it would influence your interpretation of the findings.