The correct answer to the question is option 1, Edmund Cartwright. He invented the power loom, which revolutionized the cotton textile industry.
Option 2, Samuel Crompton, is not the correct answer in this case. Crompton is known for inventing the spinning mule, which combined the features of the spinning jenny and the water frame. Although his invention played a significant role in the cotton textile industry, it was not the power loom.
Option 3, Richard Arkwright, is also not the correct answer in this case. Arkwright is widely credited with inventing the water frame, which was a spinning machine driven by waterpower. However, the power loom was not his invention.
Option 4, James Hargreaves, is also not the correct answer in this case. Hargreaves invented the spinning jenny, which was a multi-spindle spinning frame. While his invention was important for the textile industry, it was not the power loom that revolutionized the cotton textile industry.
In summary, option 1, Edmund Cartwright, is the correct answer as he is the inventor of the power loom that revolutionized the cotton textile industry.