How do you find the standardized test statistic Z?
Similarly, what is Z test statistic formula?
The test statistic is a z-score (z) defined by the following equation. z=(p−P)σ where P is the hypothesized value of population proportion in the null hypothesis, p is the sample proportion, and σ is the standard deviation of the sampling distribution.
Subsequently, question is, what is the test statistic for this sample? A test statistic is a random variable that is calculated from sample data and used in a hypothesis test. You can use test statistics to determine whether to reject the null hypothesis. The test statistic compares your data with what is expected under the null hypothesis.
Also Know, how do you find the hypothesis test statistic?
Analyze sample data.
- Test statistic. When the null hypothesis involves a mean or proportion, use either of the following equations to compute the test statistic.
- P-value. The P-value is the probability of observing a sample statistic as extreme as the test statistic, assuming the null hypothesis is true.
How do you find the p value for a standardized test statistic?
To find the p-value for your test statistic:
- Look up your test statistic on the appropriate distribution — in this case, on the standard normal (Z-) distribution (see the following Z-table).
- Find the probability that Z is beyond (more extreme than) your test statistic: