Question

Why is it necessary to work with the null hypothesis as opposed to the alternative hypothesis in hypothesis testing?

Use an example to demonstrate the logic behind your response.

Answer #1

What is hypothesis testing? What are the differing roles of the
null and alternative hypotheses?

Perform a hypothesis for the null and alternative
hypotheses:
??:?? =? ??:?? <?
The following is the sample information.
?̅=?.? ?? =?.? ?=?? ?=?.??
a. (1 point) Calculate the appropriate test statistic, p-value,
and give a general conclusion of reject or fail to reject the null
hypothesis based on the significance level. Show all work
b. (1 point) Now suppose you know ?? = 1.2. Calculate the
appropriate test statistic, p-value and give a general conclusion
of reject or fail...

a)Formulate a research question and corresponding null and
alternative hypothesis that you will test with either a Chi-square
or McNemar’s test.
b)State the null and alternative hypotheses.
c)Set up the contingency table for your test
d)Specify which test you will use and why.

Is it possible to reject the null hypothesis AND reject the
alternative hypothesis?
If the alternative hypothesis is: "There is a strong positive
correlation between quality of sleep and academic success" and I
find that the correlation coefficient is .39 (not strong) what
would the null hypothesis be, and would I accept that. The sample
size is 60 and the p value is below my level of significance of
.05

Test the null hypothesis H0:p=0.5against the alternative
hypothesis HA:p<0.5, when 89 individuals in a random sample of
218 have a characteristic of interest.
Proportions are very sensitive to round-off error. Please
ensure that you attempt to round p^as little as possible.
a) Calculate the value of the z test statistic, for
testing the null hypothesis that the population proportion is
0.5.
Round your response to at least 3 decimal places.
b) The p-value falls within which one of the following...

Test the null hypothesis H0:p=0.5against the alternative
hypothesis HA:p<0.5, when 92 individuals in a random sample of
219 have a characteristic of interest.
Proportions are very sensitive to round-off error. Please
ensure that you attempt to round p^as little as possible.
a) Calculate the value of the z test statistic, for
testing the null hypothesis that the population proportion is
0.5.
Round your response to at least 3 decimal places.
b) The p-value falls within which one of the following...

Hypothesis Testing:
What are the null and alternative hypotheses for testing the
following statement that was read in a newspaper: "More than 10% of
properties sold are less than or equal to 2km away from their
nearest cinema"

We can setup null and alternative hypotheses for decision
making. Remember in hypothesis testing the "equals" part will be
with the null hypothesis, so you can have less than or equal to,
greater than or equal to, or just equal to when defining the null
hypothesis. The alternative hypothesis will be, then, either
greater than, less than, or not equal to in relation to the above
null criteria. See below for how it looks symbolically for the
three possible setups....

Identify the following. Show your work. a) null hypothesis,
alternative hypothesis, b) test statistic, c) P-value or critical
value(s) d) conclusion about the null hypothesis, and final
conclusion that addresses the original claim. In a clinical study
of an allergy drug, 108 of the 202 subjects reported experiencing
significant relief from their symptoms. At the 0.01 significance
level, test the claim that more than half of all those using the
drug experience relief.

Then, answer the following five parts:
Write down the null hypothesis.
Write down the alternative hypothesis.
Explain why you chose your hypotheses as such.
Do a hypothesist test of your data at the α = 2% level of
significance for the population proportion by carrying out the
following five steps:
View an example of how to use StatCrunch to compute the value
Zα
If it is a left-tailed test, what is the critical value,
-z0.02?
If it is a right-tailed...

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