Describe the steps of hypothesis testings. Develop a
null hypothesis and alternative hypothesis to be tested and
describe how to apply these steps to the null hypothesis and
alternative hypothesis.
For the following Hypothesis Tests below :
(a) State the null hypothesis, if not
given.
(b) State the decision
rule.
(c) Compute the value of the test
statistic.
(d) What is your decision regarding
H0?
(e) Your conclusion.
Exercise 6: A stockholder at Critical Securities reported that
the mean rate of return on a sample of 10 oil stocks was 12.6
percent with a standard deviation of 3.9 percent. The mean rate of
return on...
A hypothesis test is to be performed with a Null hypothesis
Ho: µ ≤ 20 and an alternative
hypothesis H1: µ >
20, the population standard deviation
is σ=3.0, the sample size is;
n=30, and the significance level is
α=0.025.
1) what is a type l error?
a. reject h0 when h0 is incorrect
b. reject h0 when h0 is correct
c. do not reject h0 when h0 is incorrect
d. do not reject h0 when h0 is correct
2) What...
9. (1) If you reject the null hypothesis at n=64, then, for the
same sample information, you would reject the null hypothesis
if
n=25. T or F
10. (1) We can claim that if the p-value of a test is smaller than
the probability of Type I error, then we would always reject
the
null hypothesis. T or F
11. (1) The probability of Type I error and the probability of Type
II error are inversely related. T or F...
You are given the following hypotheses: Null hypothesis: p =
0.3
Alternative hypothesis: ? ≠ 0.30
You decide to take a sample of size 90. Suppose we will reject
the null hypothesis if the probability of an outcome as surprising
as ?̂ occurring is less than 5%. (i.e., a “p-value” of .05). What
values ?̂ would cause us to reject the null hypothesis? Hint: Your
answer should be “if ?̂ is anything bigger than ____ or anything
smaller than____.”
Given the following information: the sample size n = 20, the
sample mean= 75.3, and the population standard deviation= 6.0.
Please show your work. Find the 0.99 confidence interval for
14. In formulating
hypotheses for a statistical test of significance, the null
hypothesis is often
a. a statement of “no effect” or “no difference.”
b. the probability of observing the data you actually
obtained.
c. a statement that the data are all 0.
d. 0.05.
15. In assessing the
validity of any test of hypotheses, it is good practice to
a. examine the probability model that serves as a basis
for the test by using...
A random sample of size n is to be used to test the null
hypothesis that the parameter θ of an exponential population equals
θ0 against the alternative that is does not equal θ0. (a) Find an
expression for the likelihood ratio statistic. (b) Use the result
in part (a) to show that the critical region of the likelihood
ratio can be written as ye¯ −y/θ ¯ 0 ≤ K? .
State the null hypothesis.
State the alternate hypothesis.
What is (are) the independent variable(s)?
What is (are) the dependent variable(s)?
Objective
African-American adolescents are twice as likely to develop
hypertension in early adulthood than adolescents from other racial
groups. The purpose of this study was to determine the efficacy of
a school-based health promotion intervention.
Method
Participants were African-American adolescents aged between 14
and 17 years attending an urban high school. The 9-week
intervention program focused on the participants' knowledge,...
Using the information posted in the table, what is the null
hypothesis and alternative hypothesis? Identify the test statistic
and p-value from your source data. Would you reject or fail to
reject your null hypothesis? Explain how you came to this
conclusion (i.e. either use the test-statistic or p-value to
support your claim). Would there be sufficient evidence (based upon
your source data) to support the claim that those treated with
magnets have a greater mean reduction in pain than...