8-2 Testing a Claim About a Proportion 399 Hypothesis Test: Proportion Access tech supplements, videos, and data sets at www.TriolaStats.com TECH CENTER TI-83, 83 84 Plus Calculator 8 us Ca cu ato 1. Press K, then select TESTS in the top menu. 2. Select 1-PropZTest in the menu and press [. 3. Enter the claimed population proportion p0, number of successes x, and sample size n. For propselect the format used for the alternative hypothesis. 4. Select Calculate and press [. R R command: prop.test(x, n, p = NULL, alternative = c(“two.sided”, “less”, “greater”), conf.level = 0.95, correct = FALSE) TIP: To test the Chapter Problem claim: prop.test (482, 926, 0.5, alternative = “greater”, 0.95, correct = FALSE) A complete list of R statistical commands is available at TriolaStats.com Excel XLSTAT Add-In (Required) 1. Click on the XLSTAT tab in the Ribbon and then click Parametric tests. 2. Select Tests for one proportion from the dropdown menu. 3. Under Data format select Frequency if you know the number of successes x or select Proportion if you know the sample proportion pn. 4. Enter the frequency or sample proportion, sample size, and claimed value for the population proportion (Test proportion). 5. Check z test and uncheck Continuity correction for the methods of this section. 6. Click the Options tab. 7. Under Alternative hypothesis select the format used for the alternative hypothesis. For Hypothesized difference enter 0 and enter the desired significance level (enter 5 for a 0.05 significance level). Under Variance (confidence interval) select Test proportion and under Confidence Interval select Wald. 8. Click OK to display the result. The test statistic is labeled z (Observed value) and the P-value is below that. Critical values will also be displayed. Statistical Literacy and Critical Thinking In Exercises 1–4, use the results from a Hankook Tire Gauge Index survey of a simple random sample of 1020 adults. Among the 1020 respondents, 86% rated themselves as above average drivers. We want to test the claim that more than 3, 4 of adults rate themselves as above average drivers. 1.Number and Proportions a. Identify the actual number of respondents who rated themselves as above average drivers. b. Identify the sample proportion and use the symbol that represents it. c. For the hypothesis test, identify the value used for the population proportion and use the symbol that represents it. 2.Null and Alternative Hypotheses and Test Statistic a. Identify the null hypothesis and the alternative hypothesis. b. Find the value of the test statistic. 3. Requirements Are the requirements of the hypothesis test all satisfied? Explain. 8-2 Basic Skills and Concepts
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