In a study of 11,000 car crashes, it was found that 5720 of them occurred within 5 miles of home. use a .05 significance level to test the claim that more than 50% of car crashes occur within 5 miles of home. use our 4-step procedure.

Claim is true

Step-by-step explanation:

n = 11000

x = 5720

Claim : more than 50% of car crashes occur within 5 miles of home.

We will use one sample proportion test  

Formula of test statistic =

                                       =

                                       =4.19

Significance level = 0.05

z at 0.05 = 1.64

Since calculated z > defined z

So, null hypothesis is rejected

Hence the claim is true that 50% of car crashes occur within 5 miles of home.

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: