A restaurant owner wants to determine the effectiveness of his servers. The owner conducted a survey by asking 30 customers about the servers' effectiveness, on a day when the restaurant had 450 customers. The owner found that 65% of those surveyed were satisfied with the service offered. Assuming a 95% confidence level, which statement holds true? A. As the sample size is too small, the margin of error is 0.203.
B. As the sample size is appropriately large, the margin of error is 0.203.
C. As the sample size is appropriately large, the margin of error is 0.171.

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step-by-step explanation:

answer:

step-by-step explanation:

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.