Chi–Squares
In setting up your chi-square goodness-of-fit test table, what should be included in the first row?
The observed frequencies per category.
Incorrect answer
Incorrect answer
Incorrect answer
How many categories must be present for a valid application of the Chi-Square Goodness of Fit test?
Two or more categories
More than five categories
Exactly three categories
Only one category
Which of the following conditions are necessary for a Chi square goodness of fit test?
Random sample AND population at least 10x the size of the of sample
Population at least 10x the size of the sample
None of the above are required
Random sample
A study on consumer preference for four brands (A, B, C, and D) had 250 responses. If preferences are evenly distributed across brands under the null hypothesis, what is the expected frequency for each brand in a chi-square goodness-of-fit test?
The expected frequency for each brand is 62.5
The expected frequency for brand A is 250 and the others 0
The expected frequency for each brand is 125
The expected frequency for each brand is 25
A market analyst is using a chi-square goodness-of-fit test to evaluate if the observed sales frequencies over four seasons deviate from the expected equal distribution, given that the total sales number was 800 units; what is the correct calculation of the null hypothesis’ expected frequency for each season?
200 units per season, since 800 divided by four gives an equal expected value for each category.
250 units per season, taking into account a small margin of error expected in large sample sizes.
150 units per season, based on an assumption that three-quarters will reflect average sales numbers.
175 units per season, assuming one-quarter may have less footfall than the others due to natural variations.
Which condition must be met to perform a Chi-Square Goodness of Fit test?
Observations must be dependent on each other.
Data must follow a normal distribution.
All expected counts are at least 5.
The sample size must be over 30.
Which type of data is appropriate for conducting a Chi-Square Goodness of Fit test?
Ranked ordinal data from one sample
Categorical data from one population
Numerical data from two populations
Numerical time-series data

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Why do category counts need to be whole numbers when performing a Chi-Square Goodness of Fit test?
Because you cannot observe part of an occurrence/category.
To simplify calculations within the formula.
To ensure all categories have equal importance in analysis.
Whole numbers are easier for plotting on graphs.
What is the purpose of a Chi-Square Goodness of Fit test in statistics?
To determine if observed data fits an expected distribution.
To assess the correlation between two variables.
To estimate the standard deviation of a population.
To calculate the mean of a data set.
Which type of probability-based sample selection technique uses intervals to choose subjects from an ordered list?
Systematic Sampling
Stratified Random Sampling
Simple Random Sampling
Cluster Sampling