Stats - probability of Type II error

[Guest]

Calculate the probability of a Type II error for the following test of hypothesis, given that
u = 415
H0: u = 400
H1: u > 400
α (significance level) = .01
σ (standard deviation) = 50
n = 75

the answer is .1711 but how did they calculate that ?

 

[tkhunny]

Start by writing out the definition of Type II Error. Is that rejecting when true or accepting when false. Get these concepts clear in your mind.

 

[Guest]

Start by writing out the definition of Type II Error. Is that rejecting when true or accepting when false. Get these concepts clear in your mind.

Type II error is when accepting a null hypothesis when false
also:
1)chance of making a Type II error in a hypothesis test can be ↓ by ↑ sample size.
2)A ↓ in significance level (makes less likely to reject null hypothesis) of a hypothesis test = ↑ in probability of a Type II error

that's all I got though, no formulas or anything