A marketing survey is conducted in which students are to taste two different brands of soft drink. Their task is to correctly identify the brand tasted. A random sample of 190 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? 0.4971 (Round to four decimal places as needed.) b. The probability is 90% that the sample percentage is contained within what symmetrical limits of the population percentage? Identify the limits of the population percentage. The lower limit is 0.4403 The upper limit is 0.5597 (Round to four decimal places as needed.) There is a 90% probability that the sample percentage will be contained within 6 % 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 65%? (Round to four decimal places as needed.)
A marketing survey is conducted in which students are to taste two different brands of soft drink. Their task is to correctly identify the brand tasted. A random sample of 190 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? 0.4971 (Round to four decimal places as needed.) b. The probability is 90% that the sample percentage is contained within what symmetrical limits of the population percentage? Identify the limits of the population percentage. The lower limit is 0.4403 The upper limit is 0.5597 (Round to four decimal places as needed.) There is a 90% probability that the sample percentage will be contained within 6 % 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 65%? (Round to four decimal places as needed.)
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 41CT: On a game show, a contestant is given the digits 3, 4, and 5 to arrange in the proper order to form...
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Transcribed Image Text:A marketing survey is conducted in which students are to taste two different brands of soft drink. Their task is to correctly
identify the brand tasted. A random sample of 190 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?
0.4971 (Round to four decimal places as needed.)
b. The probability is 90% that the sample percentage is contained within what symmetrical limits of the population
percentage? Identify the limits of the population percentage.
The lower limit is 0.4403
The upper limit is 0.5597
(Round to four decimal places as needed.)
There is a 90% probability that the sample percentage will be contained within 6% 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 65%?
(Round to four decimal places as needed.)
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