a. Show the sampling distribution of p, the proportion of groceries thrown out by your sample respondents. b. What is the probability that your survey will provide a sample proportion within 6.03 of the population proportion

The corresponding p - value will be  is < 0.00001 which is less than 0.05

Step-by-step explanation:

Suppose p= 0.12 and n= 540 then the standard deviation can be taken out as √p(1-p)/n= √0.12(1-0.12)/540= 0.014

For the probability that the survey will provide a sample proportion within 6.03 of the population proportion

we will find the z statistic

z= p^-p/√p(1-p)/n

But √p(1-p)/n= 0.014 and p^-p= 6.03

Putting the values

z= 6.03/0.014= 430.71

The corresponding p - value will be  is < 0.00001 which is less than 0.05

it's undefined because anything multiplied by 0 is 0. that said, 7 days is 168 hours

system of linear equation

step-by-step explanation:

as given in the data

a= 20 , b= -12

let us suppose that it is a straight line equation

now we know the formula for the system of linear equation

b= ma + c )

here m is slope of a straight line which is equal to formula

m=   (ii)

and here c is a constant

now putting the value of a and b in equation (ii)

m=

m=

putting the value of a,b and m in equation (i) gives us

-12 = + c

-12=-12 + c

adding 12 to both sides

-12 +12 = -12 +12 +c

0 =c

or c=0

as the value of the constant is zero which gives us that it is a linear equation and this order pair satisfies the system of linear equations.