In: Statistics and Probability
Question 1 2 pts
A barista at Starbucks has an hunch that there might be a gender difference in terms of preferred drinks. One morning, she decides to record the next 50 drink orders she takes from female customers and 50 drink orders from male customers. The data are listed in the table below. What are the variables being examined in this study?
Drink | Female | Male | Total count |
Drip coffee | 5 | 5 | 10 |
Hot espresso drinks | 20 | 15 | 35 |
Cold espresso drinks | 15 | 20 | 35 |
Iced coffee | 5 | 10 | 15 |
Tea | 5 | 0 | 5 |
Total count | 50 | 50 | 100 |
Group of answer choices
Gender and drink preference
Female, Male, drink type
Female and Male
Drink type and drink count
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Question 2 2 pts
To answer the basrista's question, what test is most appropriate given the type of data collected?
Group of answer choices
Chi-square test for independence
Chi-square test for goodness of fit
Independent-samples t test
Paired-samples t test
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Question 3 1 pts
For the chosen hypothesis test, what would be the null hypothesis to be tested?
Group of answer choices
Drink preference does not depend on gender.
Drink preference depends on gender.
There is no significant difference between gender and drink preference.
There is a significant difference between gender and drink preference.
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Question 4 2 pts
Now we can calculate the X2 (chi-square) statistic using the
data below.
Note that the two variables can be arranged two ways. The original
data table below is one option, and the other option is to
represent the drink type in columns and gender in rows. But the
latter will make the calculation table very wide so it's less
cumbersome to do it with as few column as possible. (Round the
answer to 2 decimal places)
Drink | Female | Male | Total count |
Drip coffee | 5 | 5 | 10 |
Hot espresso drinks | 20 | 15 | 35 |
Cold espresso drinks | 15 | 20 | 35 |
Iced coffee | 5 | 10 | 15 |
Tea | 5 | 0 | 5 |
Total count | 50 | 50 | 100 |
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Question 5 1 pts
Use the X2 table to find the critical value, using α = .01. Report the exact value found from the table.
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Question 6 1 pts
Based on the calculated X2 statistic and the critical X2 value, what is the result of the hypothesis test?
Group of answer choices
Fail to reject the null hypothesis because the statistic is less extreme than the critical value.
Fail to reject the null hypothesis because the statistic is more extreme than the critical value.
Reject the null hypothesis because the statistic is more extreme than the critical value.
Reject the null hypothesis because the statistic is less extreme than the critical value.
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Question 7 1 pts
Based on the hypothesis test result, what is the answer to the research question?
Group of answer choices
Drink preference does not significantly depend on gender.
Drink preference significantly depends on gender.
There is no significant difference between gender and drink type.
There is a significant difference between gender and drink type.
Using Excel<data<megastat<chi square test<contingency table
Here is the output
Chi-square Contingency Table Test for Independence | |||||
Female | Male | Total | |||
Drip coffee | 5 | 5 | 10 | ||
Hot espresso drinks | 20 | 15 | 35 | ||
Cold espresso drinks | 15 | 20 | 35 | ||
Iced coffee | 5 | 10 | 15 | ||
Tea | 5 | 0 | 5 | ||
Total | 50 | 50 | 100 | ||
8.10 | chi-square | ||||
4 | df | ||||
.0882 | p-value |
Question 1
Gender and drink preference
2
Chi-square test for independence
3
Drink preference does not depend on gender.
4
Chi-square =8.10
5
critical value=13.277
6
Fail to reject the null hypothesis because the statistics are less extreme than the critical value
7
Drink preference does not significantly depend on gender.
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