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When do we use z test?when nominal data is givenWhen n is greater than or equal to 30When ordinal data is givenWhen n < 30

Question

When do we use z test?when nominal data is givenWhen n is greater than or equal to 30When ordinal data is givenWhen n < 30

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Solution

We use a Z-test in statistics when the sample size (n) is greater than or equal to 30 and the data follows a normal distribution. The Z-test is also used when the population standard deviation is known.

We do not use a Z-test for nominal or ordinal data. Nominal data is categorical and does not have a natural order or ranking (like colors: red, blue, green). Ordinal data, on the other hand, is a type of categorical data with a specific order or ranking (like ratings: poor, average, good, excellent).

For nominal data, we might use a chi-square test, and for ordinal data, we might use a non-parametric test like a Mann-Whitney U test or a Kruskal-Wallis test.

When the sample size is less than 30, we typically use a t-test instead of a Z-test, especially if the population standard deviation is unknown.

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Explain the difference between nominal and ordinal data with examples.

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