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In: Statistics and Probability

PSY - Assignment 3:ChiSquare Tests Due by Sun, April 12th, at 11:30PM Scores out of 25...

PSY - Assignment 3:ChiSquare Tests

Due by Sun, April 12th, at 11:30PM

Scores out of 25 points (13 points for Quest 1 and 12 points for Question 2)

Submit by uploading file(s) within "Assignment 3" on Canvas

SHOW YOUR WORK

Either very clearly type it out (make sure your formulas and integrity/formatting of your formulas are extremely clear)

Or write it out by hand and attach a scan or photo of your work

Remember that all assignments must reflect your own independent work

Question #1 (13 points)

Do people prefer cold drinks in summer and hot drinks in winter ? Use the following contingency table to determine whether there is a relationship between season and drink preference. Follow the 8 steps to hypothesis testing, based on alpha =.01.

Drink Preference

Season Chocolate Smoothie

Summer 5 30

Winter 23 17

Solutions

Expert Solution

The hypothesis being tested is:

H0: There is no relationship between season and drink preference

Ha: There is a relationship between season and drink preference

Chocolate   Smoothie   Total  
Summer Observed   5 30 35
Expected   13.07 21.93 35.00
O - E   -8.07 8.07 0.00
(O - E)² / E   4.98 2.97 7.95
Winter Observed   23 17 40
Expected   14.93 25.07 40.00
O - E   8.07 -8.07 0.00
(O - E)² / E   4.36 2.60 6.95
Total Observed   28 47 75
Expected   28.00 47.00 75.00
O - E   0.00 0.00 0.00
(O - E)² / E   9.34 5.56 14.90
14.90 chi-square
1 df
.0001 p-value

The p-value is 0.0001.

Since the p-value (0.0001) is less than the significance level (0.01), we can reject the null hypothesis.

Therefore, we can conclude that there is a relationship between season and drink preference.

Please give me a thumbs-up if this helps you out. Thank you!


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