Question

What is the main difference between one population and two populations hypothesis testing?

Answer #1

WE can use a hypothesis test to examine or challenge a statistical claim about a population mean if the variable is numerical (for example, age, income, time, and so on) and only one population or group (such as all U.S. households or all college students) is being studied. For example, a child psychologist says that the average time that working mothers spend talking to their children is 11 minutes per day, on average.

In other words , in single population hypothesis testing , w check for the statement whether the mean of the population is equal to some hypothetical constant value or not .

The **hypotheses for a difference** in two
**population** means are similar to those **for
a difference** in two **population**
proportions. The null **hypothesis**, H0,
**is** again **a** statement of “no
effect” or “no **difference**.” The alternative
**hypothesis**,

26. Consider the following statements.
(i). If we are testing for the difference between two population
means, it is assumed that the sample observations from one
population are independent of the sample observations from the
other population.
(ii). If we are testing for the difference between two
population means, it is assumed that the two populations are
approximately normal and have equal variances.
(iii). The critical value of t for a two-tail test of the
difference of two means, a...

In testing the difference between two population means when
population standard deviations are
unknown, there are many cases depending upon whether the two
population standard deviations
are equal or not. Therefore, before testing the difference
between two population means, the
equality of two population variances must be tested first. Let
the sample data from population #1
be? =10,?̅ =97.4,? =8.8769andfrompopulation#2be? =7,?̅ =110,?
=30.2214. 111 222
Answer the following five questions assuming the level of
significance=0.1.
23. In testing the hypothesis...

In testing the difference between two population means using two
independent samples, the population standard deviations are assumed
to be unknown, each sample size is 30, and the calculated test
statistic z = 2.56. If the test is a two-tailed and the 5% level of
significance has been specified, the conclusion should be:
a.
none of these answers is correct.
b.
choose two other independent samples.
c.
reject the null hypothesis.
d.
not to reject the null hypothesis.

This question extends the hypothesis testing to analyze
difference between population proportions based on 2 or more
samples, and to test the hypothesis of independence in the joint
responses to 2 categorical variables. Can we provide a real world
example for using the Chi-square test along with expectation of the
outcomes?

what is the difference between a one and a two sample hypothesis
test, and does this changes how the results are going to be
interpreted.

what is the difference between P-value and Traditional/Critical
value methods in hypothesis testing?

When conducting hypothesis testing on two populations how do you
determine which data group is group one?

Describe a confidence interval for the difference in means
between two population by stating
1. a pair of populations composed of the same type of individuals
and a quantitative variable on those populations,
2. sizes and degrees of freedom of samples from those
populations,
3. the means of those samples, and
4. the standard deviations of those samples. Then state
5. a confidence level and find
6. find the interval. Finally, perform a test of significance
concerning the difference in...

an example scenario of how organizations use difference in
population means in hypothesis testing before making decisions

1. In a testing experiment:
a. What is the difference between a hypothesis and a
prediction?
b. How do you decide if the outcome of the experiment is/is not
consistent with the prediction?
c. How do you make a judgment about the hypothesis? How do the
assumptions you made in your method enter into making this
judgment?
2. In an observational experiment:
a. What is an independent variable?
b. What is the dependent variable?
c. Give an example from your...

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