confidence interavls for a population proportion. suppose that a random sample of 1000 mortgage loans that were defaulted within the first year reveals 410 of these loans were approved on hte basis of falsified applications. what is point estiamte of and a 95% confidence interval for p, the proportion of all first year defaults that are approved on the basis of flsified application

The 95% confidence interval is  

Step-by-step explanation:

From the question we are told that

     The sample size is  

      The  number of approved loan is  k =  410

Generally the sample proportion is mathematically represented as

substituting values

Given that the confidence level is  95% then the level of significance is mathematically represented as

Next we obtain the critical value of   from the normal distribution table,the value is  

Generally the margin of error is mathematically represented as

substituting values

The 95% confidence interval for p is mathematically represented  as

substituting values

depends on how many days you are talking about

step-by-step explanation:

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.