Mathematics, 21.10.2020 17:01 mangustaylor

An analysis of several polls suggests that 60% of all Florida voters plan to vote for Anderson. A poll of 250 randomly selected Florida voters shows that 144 plan to vote for Anderson. Required:
a. What is the probability of this result (i. e. 144 voters or less out of 250) happening by chance, assuming the aggregate poll model proportion of 60% is correct?
b. Does your result from part I indicate that the number of voters who plan to vote for Anderson has decreased? In other words, is this outcome unusual?

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Answer from: abbz13

Complete Question

An analysis of several polls suggests that 60% of all Florida voters plan to vote for Anderson. A poll of 250 randomly selected Florida voters shows that 144 plan to vote for Anderson.

Required:

a. What is the probability of this result (i.e. 144 voters or less out of 250) happening by chance, assuming the aggregate poll model proportion of 60% is correct?

b. Does your result from part I indicate that the number of voters who plan to vote for Anderson has decreased? In other words, is this outcome unusual?(Recall that an unusual event has a probability of 0.05 or less of occurring )

$P(p < \^p) = 0.2206$

It is not an unusual event

Step-by-step explanation:

From the question we are told that

The population proportion is p = 0.60

The sample size is n = 250

The number that plans to vote for Anderson is k = 144

Generally the mean of the sampling distribution is

$\mu _{x} = p = 0.60$

Generally the standard deviation is

$\sigma = \sqrt{ \frac{p(1 - p )}{n} }$

=> $\sigma = \sqrt{ \frac{0.60(1 - 0.60 )}{250} }$

=> $\sigma = 0.0310$

Generally the sample proportion is mathematically represented as

$\^{p} = \frac{k}{n}$

=> $\^{p} = \frac{144}{250}$

=> $\^{p} = 0.576$

Gnerally the probability of this result (i.e. 144 voters or less out of 250) happening by chance, assuming the aggregate poll model proportion of 60% is correct is mathematically represented as

$P(p < \^p) = P(\frac{ p - \mu_{x}}{ \sigma } < \frac{ \^ p - \mu_{x}}{ \sigma } )$

=> $P(p < \^p) = P(Z < \frac{ 0.576 - 0,60}{ 0.0310} )$

=> $P(p < \^p) = P(Z < -0.77 )$

From the z-table the probability of (Z < -0.77) is

P(Z < -0.77 ) = 0.2206

$P(p < \^p) = 0.2206$

Since

0.2206 0.05 it implies that it is not an unusual event

Answer from: Quest

Look i don’t know the answer to this but someone else will so just wait a little bit longer

Answer from: Quest

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall is needed to match the record of 40 inches is given by

$40-37.6\\\\=2.4\ inches$

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.

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An analysis of several polls suggests that 60% of all Florida voters plan to vote for Anderson. A po...