Question

I need what to put on the TI-84 calculator and verify that all conditions of the Central Limit Theorem have been met. Answer is next to the question on the bracket.

Note: Before answering the following questions, make sure to verify that all conditions of the Central Limit Theorem have been met.
7.2.3 Fifty-six percent of self-employed workers work at home during the week compared to only 20% of wage and salary workers. Self-employed workers are also more likely to work on weekends than are wage and salary workers, 43% compared to 31%, respectively.

a. If 700 self-employed workers are randomly selected what is the probability less than 54% of them worked at home during the week? (0.1432)
b. If 700 self-employed workers are randomly selected what is the probability less than 45% of them worked at home during the weekend? (0.8574)

Answer 1

a)

Let 'p' denote the proportion of self employed people working at home during the week.

We know that the sample proportion is distributed as:

Required probability =

b)

Let 'p' denote the proportion of self employed people working at home during the weekend.

We know that the sample proportion is distributed as:

Required probability =