I would like to know if I did this entry correctly, could someone let me know?

Your employees are paid a total of $5,000 per day. The month ends on Wednesday, payday is Friday. The work week runs Monday to Friday. What entry is needed on month end.

Debit Salaries and Wages Expense $ 15,000
Credit Accrued Payroll Expense $ 15,000

To accrue three days of wages for employees

Your Credit should be to: Salaries and Wages Payable

So if my credit is to salaries and wages payable then
My debit would be the accrued payroll expense for $15,000?

Your Debit will be: Salaries and Wages Expense

"Accrued payroll" is what it is - not an account name. Remember that the expense account is going to show up on the income statement. It will just be called Salaries and Wages Expense as you first did -- the portion that was accrued and not yet paid is not separated out from the rest of the payroll for the rest of the year. The expense was incurred and it therefore goes into the same expense account as everything else. Expenses which are accrued are not "special" in any way - they're still always just debited to the regular old expense account.