N example 5.4 and exercise 5.5, we considered the joint density of y1, the proportion of the capacity of the tank that is stocke
d at the beginning of the week, and y2, the proportion of the capacity sold during the week, given by f(y1,y2)= 3y1, 0≤y2≤y1≤1, 0, elsewhere. a find the marginal density function for y2. b for what values of y2 is the conditional density f ( y1 | y2 ) defined? c what is the probability that more than half a tank is sold given that three-fourths of a tank is stocked?
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Lacking information on the proportion, we will assume the sample proportion is 0.50
thus,
p = 0.50
The margin of error is set at 10 percentage points. This indicates that the error on either side of the population proportion is 5%, so E = 0.05
z = 1.645 (Z value for a confidence level of 90%)
The calculation for the margin of error when estimating population proportions follows:
Consequently, 271 students need to be part of the sample.
thus,
p = 0.50
The margin of error is set at 10 percentage points. This indicates that the error on either side of the population proportion is 5%, so E = 0.05
z = 1.645 (Z value for a confidence level of 90%)
The calculation for the margin of error when estimating population proportions follows:
Consequently, 271 students need to be part of the sample.