Question

3) For a two-tailed hypothesis using a z-distribution, determine your decision (reject Ho and accept H1 OR fail to reject Ho) and the type of error you may have committed for the following situation. Be sure to draw out your distribution, indicate your critical region plus the critical values and where each of the following z-scores fall in that distribution.

a) z = -1.97 with an alpha = 0.05

b) z= +2.00 with an alpha = 0.01

c) z = + 1.50 with an alpha of 0.10

d) z = -2.99 with an alpha of 0.001

Answer #1

Ans:

a) z = -1.97 with an alpha = 0.05

critical z values=+/-1.96

**Reject H _{0},**as z falls in rejection
region

we may commit **Type I error**

b) z= +2.00 with an alpha = 0.01

critical z values=+/-2.576

**Fail to Reject H _{0},**as z does not fall
in rejection region

we may commit **Type II error**

c) z = + 1.50 with an alpha of 0.10

critical z values=+/-1.645

**Fail to Reject H _{0},**as z does not fall
in rejection region

we may commit **Type II error**

d) z = -2.99 with an alpha of 0.001

critical z values=+/-3.29

**Fail to Reject H _{0},**as z does not fall
in rejection region

we may commit **Type II error**

4. If you have Two tailed Z test of significance and
you have a Z test score of 2.1, and the critical region for an
alpha level of .05 is 1.96, do you ___
a. fail to reject the Ho
b. reject the Ho
c. determine there is insufficient evidence to support at
decision
d. consult a statistician to make a decision on a type XV error

Read eText and review Resource Materials.
Then post your solution to this problem: Given Hypothesis:
Ho: population mean μo = 200
Ha: population mean μo < 200 This is Left-Tailed test.
Population Standard Deviation σ = 50.
Given Significance Level is 0.10 (10%).
Critical z-value for 0.10 significance level and Left-Tailed
test is (-1.28).
Rejection Region will be to the left of z= - 1.28.
-3…………..-2………….-1…………0……….1
Choose your sample mean, x̅ (any integer between 180 and 195)
and your sample...

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A. What is the proportion of the curve that is in the critical
region?
B. Is this a Type I or Type II error?
C. Do you reject or fail to reject the null hypothesis?
D. What is the confidence interval?
For a normal distribution with a population mean μ of 80 and a
population standard deviation (σ) of 50, find each probability...

PLEASE SHOW WORK
Suppose that in a two-tailed hypothesis test you
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would you conclude if α = 5%?
P-value = 0.0401. H0 should be rejected at the 5% level
P-value = 0.0802. H0 should be rejected at the 5% level
P-value = 0.0802. H0 should not be rejected at the 5% level
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1. A null hypothesis states that there is
A. No significant difference between a population parameter and
sample statistic.
B. A significant difference between a population parameter and
sample statistic.
C. The difference between the population parameter and sample
statistic is significant and can be attributed to sampling
error.
D. The difference between the population parameter and sample
statistic is insignificant and cannot be attributed to sampling
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E. None of the above
2. An alternative hypothesis states that there...

7.
You wish to test the following at a significance level of
α=0.05α=0.05.
H0:p=0.85H0:p=0.85
H1:p>0.85H1:p>0.85
You obtain a sample of size n=250n=250 in which there are 225
successful observations.
For this test, we use the normal distribution as an approximation
for the binomial distribution.
For this sample...
The test statistic (zz) for the data = (Please show
your answer to three decimal places.)
The p-value for the sample = (Please show your
answer to four decimal places.)
The p-value is...
greater than...

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