In hypothesis testing, we can reject
a. the null hypothesis.
b. the alternative hypothesis.
c. both the null and the alternative hypotheses.
d. neither the null and the alternative hypotheses.
Please show all work and explain.
You are testing the null hypothesis that there is no linear
relationship between two variables X and Y. From
your sample of n = 18, you determine that
b1 = +4.5 and
Sb1= 1.5. The value of t stat =
coefficient/std error = 3.
a) At the α = 0.05 level of significance, what are the critical
values?
b) Based on the information and your answer, what statistical
decision should you make?
Hypothesis testing conceptual questions: a. Define the null and
alternative hypothesis b. What are the two errors that can occur in
hypothesis testing? What mathematical symbols are used to denote
these errors? c. Define the P-value. How are P-values used in
hypothesis testing? d. How is the significance level of a
hypothesis test determined? e. What assumptions must your data meet
in order to perform a hypothesis test?
here is my Null Hypothesis and Alternative Hypothesis:
Null Hypothesis: There is no significant difference in the
housing expenses between married and unmarried households.
Alternative Hypothesis: There is a significant difference in the
housing expenses between married and unmarried households.
what are the type I and type II errors?
Suppose we have multinomial population with four categories:
A,B,C, and D. The null hypothesis is that the proportion of items
is the same in every category. The null hypothesis is H0: Pa
=Pb=Pc=Pd =0.25 A sample of size 300 yielded the following results.
A:80 B:85 C:60 D:70 Use alpha=0.05, determine whether H0 should be
rejected?
D.
1. A sample of size 16 is used in testing the null hypothesis
that μ > 100. The sample results indicate that = 96
and s = 4. Test the null hypothesis using a significance
level of .05.
2. What does
the significance level tell us? That is, precisely what is it that
has a probability of less than .05? Be specific.
Explain how the ideas of hypothesis testing and rejecting the
null hypothesis can be related to confidence interval. Be sure to
also consider the idea of one-sided confidence intervals.
in hypothesis testing if the null hypothesis is rejected
-the alternative hypothesis is likely to be true
- no conclusions can be drawn from the test
-the data must have been accumulated incorrectly
-the sample size has been to small
What is statistical hypothesis? Define the following terms with
reference to testing of a hypothesis-
Null and Alternative Hypothesis
Critical Region
Significance Level
Types of Hypothesis Tests
Two types of Errors in Hypothesis Tests