31.When can the z-test be used in statistical hypothesis testing? A. When the measure of central tendency used for the raw scores is the median B. When the raw scores are transformed from a nominal scale to a ratio scale C. When the raw score population standard deviation is known D. When the z-test standard deviation is known
Question
31.When can the z-test be used in statistical hypothesis testing? A. When the measure of central tendency used for the raw scores is the median B. When the raw scores are transformed from a nominal scale to a ratio scale C. When the raw score population standard deviation is known D. When the z-test standard deviation is known
Solution
The z-test can be used in statistical hypothesis testing when the raw score population standard deviation is known. So, the correct answer is C. When the raw score population standard deviation is known.
Here's why:
A z-test is a statistical test used to determine whether two population means are different when the variances are known and the sample size is large. The test statistic is assumed to have a normal distribution, and nuisance parameters such as standard deviation should be known in order for a z-test to be performed.
Option A is incorrect because the z-test is not based on the median, but on the mean.
Option B is incorrect because the z-test does not require the raw scores to be transformed from a nominal scale to a ratio scale.
Option D is incorrect because it's not the z-test standard deviation that needs to be known, but the raw score population standard deviation.
Similar Questions
When is the z-statistic used to estimate the population mean?a.When the population standard deviation is knownb.When the population standard deviation is unknownc.When the sample size is smalld.When the sample size is large
33.What does the null hypothesis for normal deviate z test state? A. There is no significance difference between your sample and population. The small difference is due to statistical fluctuations. B. There is a significance difference between your sample and population. C. The sample given to you and the population are not at all related. D. The population is a subset of the sample given to you.
34.Which of the following correctly represents Z normal deviate? A. (Sample mean - Population mean)*standard error B. (Sample mean - Population mean)/standard error C. Standard error/(Sample mean - Population mean) D. Standard error + (Sample mean - Population mean)
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
In a z-test, what is the null hypothesis typically stating?*1 pointThe sample mean is equal to the population meanThe variance within the sample is significantThere is no correlation between variablesThere is a significant difference between sample means
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