<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2014-01-27</periodOfReport>

    <notSubjectToSection16>1</notSubjectToSection16>

    <issuer>
        <issuerCik>0000792985</issuerCik>
        <issuerName>HEALTH MANAGEMENT ASSOCIATES, INC</issuerName>
        <issuerTradingSymbol>HMA</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001138995</rptOwnerCik>
            <rptOwnerName>GLENVIEW CAPITAL MANAGEMENT, LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>767 FIFTH AVENUE</rptOwnerStreet1>
            <rptOwnerStreet2>44TH FLOOR</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10153</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle></officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001228603</rptOwnerCik>
            <rptOwnerName>ROBBINS LAWRENCE M</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>767 FIFTH AVENUE</rptOwnerStreet1>
            <rptOwnerStreet2>44TH FLOOR</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10153</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle></officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Class A Common Stock, par value $0.01 per share</value>
            </securityTitle>
            <transactionDate>
                <value>2014-01-27</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>D</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>37757583</value>
                    <footnoteId id="F1"/>
                    <footnoteId id="F3"/>
                </transactionShares>
                <transactionPricePerShare>
                    <footnoteId id="F3"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                    <footnoteId id="F1"/>
                    <footnoteId id="F2"/>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See footnotes</value>
                    <footnoteId id="F1"/>
                    <footnoteId id="F2"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <derivativeTable></derivativeTable>

    <footnotes>
        <footnote id="F1">These shares of the Issuer's Class A Common Stock, par value $0.01 per share (the &quot;Shares&quot;) were sold for the accounts of Glenview Capital Partners, L.P., Glenview Capital Master Fund, Ltd., Glenview Institutional Partners, L.P., Glenview Offshore Opportunity Master Fund, Ltd. and Glenview Capital Opportunity Fund, L.P.  Glenview Capital Management, LLC serves as investment manager to each of Glenview Capital Partners, L.P., Glenview Capital Master Fund, Ltd., Glenview Institutional Partners, L.P., Glenview Offshore Opportunity Master Fund, Ltd. and Glenview Capital Opportunity Fund, L.P. Mr. Robbins is the Chief Executive Officer of Glenview Capital Management, LLC.</footnote>
        <footnote id="F2">Each Reporting Person disclaims beneficial ownership of the Shares except to the extent of his or its pecuniary interest therein, and this report shall not be deemed an admission that such Reporting Person is the beneficial owner of the Shares for purposes of Section 16 of the Securities Exchange Act of 1934, or for any other purpose.</footnote>
        <footnote id="F3">Pursuant to the Agreement and Plan of Merger between the Issuer and Community Health Systems, Inc. (&quot;CYH&quot;), these Shares were exchanged for, among other consideration, 2,621,125 shares of CYH common stock on January 27, 2014, the effective date of the merger.</footnote>
    </footnotes>

    <remarks>Exhibit List: The Power of Attorney filed as Exhibit B to the Schedule 13D/A filed by the Reporting Persons on January 29, 2014 is incorporated herein by reference.</remarks>

    <ownerSignature>
        <signatureName>/s/ Mark J. Horowitz, President of Glenview Capital Management, LLC and attorney-in-fact for Lawrence M. Robbins</signatureName>
        <signatureDate>2014-01-29</signatureDate>
    </ownerSignature>
</ownershipDocument>
