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The results of a survey show that the percent of adults in a certain town who want to change the name of the town is in the interval [0.38,0.41].

(a) what is the point estimate for the percent who want to change the town's name?

(b) What is the poll's margin error?

(c) Do you think the town is most likely to change its name? Which statistic influenced your answer the most? Explain.

Respuesta :

Hailey011001
a) about 39.5%
b) +/ - 1.5%
c) I'd say no. It is very unlikely because less than the majority wanted it changed

Answer:

Step-by-step explanation:

Given that

The results of a survey show that the percent of adults in a certain town who want to change the name of the town is in the interval [0.38,0.41].

The interval has length as 0.03 and average or middle value is

0.395

a) POint estimate for the percent who want to change the town's name=

averge of the interval in percent = 39.5

b) Margin of error = 0.41-0.395 = 0.015

c) The town is not most likely to change its name.  Since the highest percent expected is only 41% which is very much below 50%

Hence the statistic t = (0.395-0.5)/sq rt 0.395(0.605)

influences this decision

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