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A marketing survey is conducted in which students are to taste two different brands of soft drink. Their task is to correcty identify the brand tasted. A random sample of 180 students is taken. Assume that the students have no ability to distinguish between the two brands. Complete (a) through (d) below. a. what is the probability that the sample will have between 50% and 60% of the identifications correct? 0.4963 (Round to four decimal places as needed.) b The probability is 90% that he sample percentage is contained within what symmetric its of the population percentage den y the mits The lower limit is 0.4386 The upper limit is 0.5614 Round to four decimal places as needed.) There is a 90% probability that the sample percentage will be contained within 6.11% symmetrically around the population percentage. Round to the one decimal place as needed.) c. What is the probability that the sample percentage of correct identifications is greater than 55%? the popula n percentage (Round to four decimal places as needed.)

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