Questions: According to the proposed by psychologists Hill and Lynch, behavioral and psychological differences between boys and girls become more distinct as adolescence progresses because of increasing socialization pressures to adhere to culturally prescribed gender roles.

The answer is: gender intensification hypothesis.

Explanation for each option:

1. Gender intensification hypothesis: This is the correct answer. The gender intensification hypothesis, proposed by psychologists Hill and Lynch, suggests that behavioral and psychological differences between boys and girls become more pronounced during adolescence due to increased socialization pressures to conform to culturally prescribed gender roles.

2. Pubertal intensification hypothesis: This option is incorrect. There is no widely recognized theory specifically called the "pubertal intensification hypothesis." While puberty does bring about significant changes, this term does not specifically address the socialization pressures related to gender roles.

3. Stereotype intensification hypothesis: This option is incorrect. Although stereotypes can become more pronounced during adolescence, this term is not specifically associated with the work of Hill and Lynch or the concept of gender role socialization.

4. Sex intensification hypothesis: This option is incorrect. While it might sound similar, this term is not commonly used in psychological literature to describe the process of increasing socialization pressures related to gender roles during adolescence.