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?

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 )

a

b

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  

Generally the standard deviation is  

=>    

=>    

Generally the sample proportion is mathematically represented as  

=>      

=>    

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

=>    

=>      

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

So

Since

  it implies that it is not an unusual  event

b

2

−

b

b

3

+

7

b

2

+

14

b

+

6

%

−

3

b

3

+

7

b

2

+

14

b

+

6

%

step-by-step explanation:

26

step-by-step explanation: