Question

Determine the probability of making a Type II error
for the following hypothesis test, given that mu=216. H0:
mu=215. H1: mu is not= 215. For this test, take sd=12,
n=40, and alpha =0.05.

P(Type II Error)=?

Answer #1

**P(Type II error)=0.9176**

T or F? If the probability of a Type II error for a given
hypothesis test is 0.40, then it must have power equal to .40
T or F? The mean of the distribution of sample means is equal to
the mean for the population from which the samples are obtained
when the samples are large, but not when they are small.

Can someone answer and explain how to do these problems?
1 Type II Error: For the roulette table in (Q6), determine which
hypothesis testing scenario has the larger Type II error
probability for a two-sided hypothesis for HO: p=18/19:
1. a) N=10,000, p=0.96 , α=0.05 OR b) N=10,000, p=0.97 ,
α=0.05.
2. a) N=10,000, p=0.96, α=0.05 OR b) N=50,000, p=0.96,
α=0.05.
3. a) N=10,000, p=0.97, α=0.05 OR b) N=10,000, p=0.97,
α=0.01.
Describe how the Type II error is influenced by...

Suppose the hypothesis test
H0:μ=12H0:μ=12
against
Ha:μ<12Ha:μ<12
is to be conducted using a random sample of n=44n=44
observations with significance level set as
α=0.05α=0.05.
Assume that population actually has a normal distribution with
σ=6.σ=6.
Determine the probability of making a Type-II error (failing to
reject a false null hypothesis) given that the actual population
mean is μ=9μ=9.
P(Type-II error) ==

Determine whether the outcome is a Type I error, a Type II
error, or a correct decision.
A test is made of H0: μ = 25 versus H1: μ ≠ 25. The true value
of μ is 25 and H0 is rejected.

Can explain how to do these problems?
1 Type II Error: For the roulette table in (Q6), determine which
hypothesis testing scenario has the larger Type II error
probability for a two-sided hypothesis for HO: p=18/19:
1. a) N=10,000, p=0.96 , α=0.05 OR b) N=10,000, p=0.97 ,
α=0.05.
2. a) N=10,000, p=0.96, α=0.05 OR b) N=50,000, p=0.96,
α=0.05.
3. a) N=10,000, p=0.97, α=0.05 OR b) N=10,000, p=0.97, α=0.01.
Describe how the Type II error is influenced by N, p and...

determine whether the outcome is a Type I error, a type II
error, or a correct decision, explain your answer. A test is made
of H0:u=18 versus H1:unot equal 18. the true value of u is 18 and
H0 is not rejected

For the given significance test, explain the meaning of a Type I
error, a Type II error, or a correct decision as specified. A
health insurer has determined that the "reasonable and customary"
fee for a certain medical procedure is $1200. They suspect that the
average fee charged by one particular clinic for this procedure is
higher than $1200. The insurer performs a significance test to
determine whether their suspicion is correct using α = 0.05. The
hypotheses are:
H0:...

Typically, when we decrease the probability of a type I error
for a hypothesis test, we:
decrease the probability of a type II error
increase the probability of a type II error

. Consider the following hypothesis test: H0 : µ ≥ 20 H1 : µ
< 20 A sample of 40 observations has a sample mean of 19.4. The
population standard deviation is known to equal 2. (a) Test this
hypothesis using the critical value approach, with significance
level α = 0.01. (b) Suppose we repeat the test with a new
significance level α ∗ > 0.01. For each of the following
quantities, comment on whether it will change, and if...

Identify the type I error and the type II error that corresponds
to the given hypothesis. The proportion of settled medical
malpractice suits is 0.34

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