← 5:55 Statistic docs.google.com Statistic Question 1 Ⓒ4.52%7 A one-way table describes counts for each outcome in a single variable. A two-way table describes counts for combinations of outcomes for two variables. When we consider a two-way table, we often would like to know if these variables are related in any way. 1. Think of an experiment in an area that interests you. 2. Explain why the conditions are met for the chi-square test for homogeneity. 3. Explain under which condition the null hypothesis (HO) will be rejected and formulate the conclusion in the context of your experiment.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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5:55
Statistic
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Statistic
Question 1
6
A one-way table describes counts for each outcome in a single
variable. A two-way table describes counts for combinations
of outcomes for two variables. When we consider a two-way
table, we often would like to know if these variables are related
in any way.
1. Think of an experiment in an area that interests you.
2. Explain why the conditions are met for the chi-square
test for homogeneity.
3. Explain under which condition the null hypothesis
(HO) will be rejected and formulate the conclusion in
the context of your experiment.
4.
Question 2
Woods
You are required to complete Part 1 and Part 2 of the
Assignment
In your work, assume the 5% significance level.
Part 1
Microhabitat factors associated with forage and bed sites of
barking deer in Hainan Island, China were examined. In this
region woods make up 4.8% of the land, cultivated grass plot
makes up 14.7%, and deciduous forests make up 39.6%. Of
the 530 sites where the deer forage, 6 were categorized as
woods, 18 as cultivated grassplot, and 71 as deciduous
forests. The table below summarizes these data.
Cultivated
grassplot
18
Deciduous
forests
52%7
71
Other
435
:
Total
530
Transcribed Image Text:← 5:55 Statistic docs.google.com Statistic Question 1 6 A one-way table describes counts for each outcome in a single variable. A two-way table describes counts for combinations of outcomes for two variables. When we consider a two-way table, we often would like to know if these variables are related in any way. 1. Think of an experiment in an area that interests you. 2. Explain why the conditions are met for the chi-square test for homogeneity. 3. Explain under which condition the null hypothesis (HO) will be rejected and formulate the conclusion in the context of your experiment. 4. Question 2 Woods You are required to complete Part 1 and Part 2 of the Assignment In your work, assume the 5% significance level. Part 1 Microhabitat factors associated with forage and bed sites of barking deer in Hainan Island, China were examined. In this region woods make up 4.8% of the land, cultivated grass plot makes up 14.7%, and deciduous forests make up 39.6%. Of the 530 sites where the deer forage, 6 were categorized as woods, 18 as cultivated grassplot, and 71 as deciduous forests. The table below summarizes these data. Cultivated grassplot 18 Deciduous forests 52%7 71 Other 435 : Total 530
5:56
Statistic
docs.google.com
Statistic
Part 2
a. Write the hypotheses for testing if barking deer prefer to
forage in certain habitats over others.
b. What type of test can we use to answer this research
question?
c. Check if the assumptions and conditions required for this
test are satisfied.
d. Do these data provide convincing evidence that barking
deer prefer to forage in certain habitats over others? Conduct
an appropriate hypothesis test to answer this research
question.
Position 1
Position 2
O.52%7
• Calculate the chi-squared statistic.
• Calculate the degree of freedom.
o Given that the p-value < 0.001, give a
conclusion.
The Openintro website occasionally experiments with design
and link placement. We conducted one experiment testing
three different placements of a download link for this
textbook on the book's main page to see which location, if
any, led to the most downloads. The number of site visitors
included in the experiment was 501 and is captured in one of
the response combinations in the following table:
Position 3
Download
14.8%
13.5%
10.1%
:
No Download
19.8%
17.5%
15.8%
a. Calculate the actual number of site visitors in each of the
six response categories.
b. Each individual in the experiment had an equal chance of
being in any of the three experiment groups. However, we see
that there are slightly different totals for the groups. Do you
think that there is any evidence that the groups were actually
imbalanced? Make sure to clearly state hypotheses, check
conditions, calculate the appropriate test statistic. Given that
the p-value is 0.0093, make your conclusion in context of the
data.
Transcribed Image Text:5:56 Statistic docs.google.com Statistic Part 2 a. Write the hypotheses for testing if barking deer prefer to forage in certain habitats over others. b. What type of test can we use to answer this research question? c. Check if the assumptions and conditions required for this test are satisfied. d. Do these data provide convincing evidence that barking deer prefer to forage in certain habitats over others? Conduct an appropriate hypothesis test to answer this research question. Position 1 Position 2 O.52%7 • Calculate the chi-squared statistic. • Calculate the degree of freedom. o Given that the p-value < 0.001, give a conclusion. The Openintro website occasionally experiments with design and link placement. We conducted one experiment testing three different placements of a download link for this textbook on the book's main page to see which location, if any, led to the most downloads. The number of site visitors included in the experiment was 501 and is captured in one of the response combinations in the following table: Position 3 Download 14.8% 13.5% 10.1% : No Download 19.8% 17.5% 15.8% a. Calculate the actual number of site visitors in each of the six response categories. b. Each individual in the experiment had an equal chance of being in any of the three experiment groups. However, we see that there are slightly different totals for the groups. Do you think that there is any evidence that the groups were actually imbalanced? Make sure to clearly state hypotheses, check conditions, calculate the appropriate test statistic. Given that the p-value is 0.0093, make your conclusion in context of the data.
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