Question

In: Statistics and Probability

Question 1 2 pts A barista at Starbucks has an hunch that there might be a...

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.

Solutions

Expert Solution

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.

Please upvote if this helps you out. Thank You!


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