Question: The table below gives the frequency with which a sample of women drink tea and coffee (Arab, Lenore et al. Gender differences in tea, coffee,

The table below gives the frequency with which a sample of women drink tea and coffee (Arab, Lenore et al. "Gender differences in tea, coffee, and cognitive decline in the elderly: the Cardiovascular Health Study." Journal of Alzheimer's disease : JAD vol. 27,3 (2011): 553-66. doi:10.3233/JAD-2011-110431). Do women drink tea and coffee with the same frequency at the alpha = 0.01 significance level?

Freq Tea Coffee
< 5 / year 580 1019
5 - 10 / year 289 169
1 - 3 / month 503 178
1 - 4 / week 618 208
> 5 / week 742 1148
  • Enter the data into an array.
  • Calculate the chi-square statistic and p-value
  • Write an if statement to determine if the null hypothesis that women drink tea and coffee with the same frequency is rejected or not.

Ex: If the data for men is used,

Freq Tea Coffee
< 5 / year 551 637
5 - 10 / year 244 139
1 - 3 / month 387 152
1 - 4 / week 452 225
> 5 / week 443 915

the output is:

377.6187409281143 1.9030487979418984e-80 The hypothesis that tea and coffee are drunk with the same frequency is rejected.

Template:

# Import the necessary modules

# Construct a contingency table

# Calculate the test statistic and p-value chi2, p, df, ex = # Code for calculating test statistic and p-value print(chi2) print(p)

# Determine if null hypothesis is rejected or not if # Write appropriate if statement print("The hypothesis that tea and coffee are drunk with the same frequency is rejected.") else: print("The hypothesis that tea and coffee are drunk with the same frequency is not rejected.")

Reference:

https://learn.zybooks.com/zybook/Applications_of_Business_Analytics_II_-_61113/chapter/7/section/10

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