The following descriptions of the English colonies in North America are accurate:
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The men on the Mayflower signed an agreement to write fair laws for the good of the colony. - This refers to the Mayflower Compact, which was an agreement made by the Pilgrims to establish a form of self-governance.
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Only about 1 in 5, or 20 percent, of early colonists in Virginia survived. - This is accurate, as the early years of the Jamestown settlement were marked by high mortality rates due to disease, starvation, and conflict with Indigenous peoples.
The other statements are not accurate:
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Jamestown was established on good ground near clean water in a healthy environment. - This is incorrect. Jamestown was located in a marshy area with brackish water, which led to many health issues for the settlers.
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Virginia planters paid English laborers good wages to come work on their plantations. - This is inaccurate for the early years of the colony; most labor was provided by indentured servants or enslaved individuals, and conditions for laborers were often poor.
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The king granted a lot of self-government to Massachusetts and other colonies in the hope they would send back raw materials and would start paying taxes. - While colonies did have some degree of self-governance, it was limited and often contentious; the king's granting of self-government was not largely motivated by a desire for raw materials and taxes at the time.
Therefore, the correct and accurate statements are the first and the last one listed.