Please help me find the % . A marketing survey is conducted in which students ar

Question

Please help me find the % .

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 55% of the identifications correct? 0.4162 (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 D% symmetrically around the population percentage (Round to the one decimal place as needed.)

Explanation / Answer

a)

z(0.5)=0

z(0.55)=(0.55-0.5)/SQRT(0.5*(1-0.5)/190)=1.38

P(0<z<1.38)=P(z<1.38)-P(z<0)=0.9162-0.5=0.4162

b)

lower limit=0.5-1.645*sqrt(0.5*(1-0.5)/190)=0.4403

upper limit=0.5+1.645*sqrt(0.5*(1-0.5)/190)=0.5597

There is 90% probability that the sample percentage will be contained within (44.0%, 56.0%) symmetrically around the population percentage.

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