Expected Count
Definition
The expected count is the number of times an event is predicted to occur based on probability calculations.
Analogy
Imagine you are playing a game where you roll a fair six-sided die. If each number has an equal chance of appearing, the expected count for rolling a specific number would be 1 out of 6, since there are 6 possible outcomes.
Related terms
Observed Count: The actual count or frequency of an event that is observed in a sample or experiment.
Probability: The likelihood or chance of an event occurring, expressed as a value between 0 and 1.
Chi-Square Test: A statistical test used to determine if there is a significant association between two categorical variables.
"Expected Count" appears in:
Study guides (1)
Practice Questions (4)
A study was conducted to examine the relationship between eye color (blue and brown) and hair color (blonde and brunette) in a population. There were 40 blue eyed blondes, 60 blue eyed brunettes, 50 brown eyed blondes, and 80 brown eyed brunettes. Calculate the expected count for individuals with blue eyes and brunette hair.
A researcher is studying the relationship between gender (male and female) and voting preference in a recent election. 50 males voted for preference A, 70 females voted for preference A, 80 males voted for preference B, and 60 females voted for preference B. Calculate the expected count for the number of males who voted for preference B.
A survey was conducted to examine the preference for different smartphone brands among three age groups: teenagers (13-19 years), young adults (20-30 years), and adults (31-50 years). 50 teenagers preferred Apple, 30 teenagers preferred Samsung, 60 young adults preferred Apple, 40 young adults preferred Samsung, 40 adults preferred Apple, and 50 adults preferred Samsung. Calculate the expected count for young adults' preference for Samsung smartphones.
A researcher is investigating the association between smoking habits and the development of respiratory diseases. The researcher collected data on smoking status (non-smoke and smoker) and the occurrence of respiratory diseases (yes or no). 80 smokers developed respiratory disease, 120 smokers did not develop respiratory disease, 40 non-smokers developed respiratory disease, and 160 non-smokers did not develop respiratory disease. Calculate the expected count for smokers who have respiratory disease.
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