It depends. You may end up with more tax liability than expected since there will be no credit for taxes paid for Florida.
From the 2019 Arkansas Tax Booklet:
NONRESIDENTS AND PART YEAR RESIDENTS Complete Column A (and Column B if using Filing Status 4) of the AR1000NR as if you were a full year resident.
List all of your income from all sources for the entire year in these two columns.
List in Column C the total combined income (for both spouses) earned while Arkansas residents and income derived from Arkansas sources.
The total tax must be computed on the income totals in Columns A and B. After all allowable tax credits have been subtracted from the total tax, prorate the remaining balance. See instructions for Lines 38A, 38B, 38C, and 38D on Page 14.
NONRESIDENTS AND PART YEAR RESIDENTS MUST ATTACH A COPY OF YOUR FEDERAL RETURN, OR YOUR ARKANSAS RETURN WILL NOT BE PROCESSED.
From page 14:
NONRESIDENTS AND PART YEAR RESIDENTS ONLY, read the following instructions to determine your correct Arkansas tax liability.
Attach a complete copy of your federal return.
LINE 38A. Enter adjusted gross income from Line 25, Column C.
LINE 38B. Enter total of Columns A and B from Line 25.
LINE 38C. Divide amount on Line 38A by amount on Line 38B to arrive at your Arkansas percentage of income.
Enter percentage as a decimal rounded to six places. Do not exceed 100%.
Example: $2,500/$525,000 = 0.004762 or $10,000/$60,000 = 0.166667
LINE 38D. Multiply amount on Line 38 by decimal on Line 38C for Arkansas apportioned tax liability.
For a general reference:
Filing a Joint Federal and Separate State Returns
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