Rhode Island Gov. Gina Raimondo has proposed a new tax on large employers who don’t offer insurance to all their employees in the state’s $9.9 billion state budget.

An estimated $16 million generated by the employers’ tax in the 2020 fiscal year would go toward shoring up the state’s Medicaid program and funding several new initiatives, like increasing the number of pre-kindergarten seats and extending a plan that offers tuition-free enrollment for Rhode Island residents in the state’s community colleges....