Calculate the test statistic and the p-value when x = 145, s = 50, and n = 100. Use a 5% significance level. H0: mu = 150 H1: mu less than 150 a. Calculate the p -value of the test of the following hypotheses given that ...
Figure 1.The formula for the test statistic. Image — Prepared by the Autor using Powerpoint. WhereOis theobserved frequencyandEis theexpected frequency. 6. Calculating Chi-Square Statistics 6.1 Calculating Expected Frequency The Chi-square statistics for the table outlined below a...
The logic behind this is that if the null hypothesis were really true, such result would be a rather ‘rare’ outcome. The x axis in figure 1 doesn’t display the value of the test statistic (Z in this case) as would usually be the case. For clarity sake the concrete difference in ...
Given sample of n_1=30 from a population whit known standard deviation \sigma_1=10, and an independent sample of n_2=30 from another population with known standard deviation \sigma_2=15, what is the value of the Z test statistic for testing H_0:\mu_1...
Step 1:Calculate the test statistic value (x) using the following formula, Test statistic = (x̄ -μ) / (s/√n) We can write the above formula in the Excel format as follows: =(B9–B10) / (B11/SQRT(6)) Enter the above formula in cellB12and press“Enter”.As a result, Excel...
What is measured by the numerator of the z-score test statistic? Why is a z score a standard score? Given z score of -3.25192, how to round this value to two decimal places? For any distribution, what is the z-score corresponding to the mean? On a normal curve, what percentage of ...
Chi-Square test is a statistical hypothesis for a given set of categorical data. Learn its p-value, distribution, formula, example for categorical variables, properties, degree of freedom table here at BYJU'S.
Percentile is a statistic that measures the value below a certain percentage of specific values. The percentile rank is a standard metric to report results from competitive exams such as college entrance tests. For instance, if the 95th percentile score on a test is 80%, 95% of test takers ...
What is a Chi-Square Statistic? The formula for the chi-square statistic used in the chi square test is: The chi-square formula. The subscript “c” is the degrees of freedom.“O” is your observed value and E is your expected value. It’s very rare that you’ll want to actually ...
Real GDP adjusts nominal GDP so that it reflects the price levels that prevailed in a reference year, called the "base year." Quarterly Change in Real GDP How GDP Is Used GDP is an important statistic that indicates whether an economy is growing or contracting. In the U.S., the governme...