Less than the significance level (0.05), we cannot accept thePerforms a z-test to compare two proportions.Ģ-PropZTest( x 1, n 1, x 2, n 2, //draw?// One-tailed test, the P-value is the probability that the The null hypothesis will be rejected only if the sample The first step is toĪlternative hypothesis: P < 0.80Note that these hypotheses constitute a one-tailed test. Based on these results, should weĪccept or reject the CEO's hypothesis? Assume a significance The CEO claims that at least 80 percent of the company'sġ,000,000 customers are very satisfied. Suppose the previous example is stated a little bit differently. The population size was at least 10 times the sample size. The sample included at least 10 successes and 10 failures, and
Specifically, the approach isĪppropriate because the sampling method was simple random sampling, Note: If you use this approach on an exam, you may also want to mention Greater than the significance level (0.05), we cannot reject the Z-score is less than -1.75 or greater than 1.75.We use the Two-tailed test, the P-value is the probability that the The null hypothesis, p is the sample proportion, Where P is the hypothesized value of population proportion in
Using sample data, weĬalculate the standard deviation (σ) and compute the z-score The null hypothesis will be rejected if the sample proportion State the null hypothesis and an alternative hypothesis.Īlternative hypothesis: P ≠ 0.80Note that these hypotheses constitute a two-tailed test. (3) analyze sample data, and (4) interpret results. (1) state the hypotheses, (2) formulate an analysis plan, Solution: The solution to this problem takes four steps: Satisfied? Use a 0.05 level of significance. Based on these findings,Ĭan we reject the CEO's hypothesis that 80% of the customers are very The local newspaper surveyed 100 customers, using simple random sampling.Ĭustomers, 73 percent say they are very satisified. The CEO of a large electric utility claims that 80 percent of his 1,000,000Ĭustomers are very satisfied with the service they receive.
When you need to test a hypothesis, consider using theĬalculator is free. Stat Trek's Sample Size Calculator can do the Typically, this involves comparing the P-value to theĪnd rejecting the null hypothesis when the P-value is less thanĪs you probably noticed, the process of testing a hypothesis about a proportionĬan be complex. The null hypothesis, the researcher rejects the null hypothesis. If the sample findings are unlikely, given Sample problems at the end of this lesson for examples of how this To assess the probability associated with the z-score. Sample statistic as extreme as the test statistic. The P-value is the probability of observing a Standard deviation of the sampling distribution. The null hypothesis, p is the sample proportion, and σ is the Z = (p - P) / σwhere P is the hypothesized value of population proportion in The test statistic is a z-score (z) defined by Σ = sqrtwhere P is the hypothesized value of population proportion in Using sample data, find the test statistic and its associated (2) formulate an analysis plan, (3) analyze sample data, and This approach consists of four steps: (1) state the hypotheses,
HYPOTHESIS TEST CALCULATOR PROPORTION HOW TO
This lesson explains how to conduct a hypothesis test of a proportion,