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

whole numbers.

step-by-step explanation:

we are given the average monthly rainfall (in millimeters) model r(m) for the years 1900-2009 as a function of the month number m.

as we can see m is taken for the number of months for years 1900-2009.

we know that number of months can't be a negative number or decimal number or a fraction.

so, the number of months could be only positive whole numbers.

therefore, whole numbers is more appropriate for the domain of r.