Question

Suppose the nationwide high school dropout rate for 2014 was around 13.82%. If you checked the records of 762 students in high school in 2014, what is the probability that between 13.37% and 14.47% of them ended up dropping out?

Question 5 options:

1)

-2.0325

2)

57.7848

3)

0.6610

4)

0.3390

5)

1.0579

Answer 1

P(drop out), p = 0.1382

Sample size, n = 762

P( < A) = P(Z < (A - )/)

= p = 0.1382

=

=

= 0.0125

Probability that between 13.37% and 14.47% of them ended up dropping out = P(0.1337 < < 0.1447)

= P( < 0.1447) - P( < 0.1337)

= P(Z < (0.1447 - 0.1382)/0.0125) - P( < (0.1337 - 0.1382)/0.0125)

= P(Z < 0.52) - P(Z < -0.36)

= 0.6985 - 0.3594

= 0.3391

Ans: 4) 0.3390