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13. Chi-Square Tests & Goodness of Fit
13. Chi-Square Tests & Goodness of Fit / Goodness of Fit Test / Problem 7
Problem 7

A researcher claims that the distribution of people’s preferred grocery shopping methods has changed from a past survey. According to the past survey, the distribution was:
In-store shopping: 50%50\%
Online pickup: 20%20\%
Home delivery: 15%15\%
Subscription service: 15%15\%
To test this claim, a sample of 400400 people was surveyed with the following results:
Table displaying survey results of grocery shopping methods: In-store shopping 180, online pickup 90, home delivery 70, subscription 60.
Decide whether to reject or fail to reject the null hypothesis if α=0.05\alpha=0.05.