Testing Hypotheses. In Exercises 13-24, assume that a simple random sample has been selected and test the given claim. Unless specified by your instructor, use either the P-value method or the critical value method for testing hypotheses. Identify the null and alternative hypotheses, test statistic, P-value (or
18. How Many English Words? A simple random sample of 10 pages from Merriam-Webster’s Collegiate Dictionary is obtained. The numbers of words defined on those pages are found, with these results: n = 10,
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- TEST THE SIGNIFICANCE OF THE CORELATION COEFFICENT AT 0.05 LEVEL OF SIGNIFICANCE. (FOLLOW THE 5-STEP PROCEDURE IN HYPOTHESIS TESTING)arrow_forwardCalculate the test statistic Calculate the P-value What is the conclusion for this hypothesis test?arrow_forwardIn the process of completing a hypothesis test, when it comes to decide if we should "Reject the Null Hypothesis" or if we "Do Not Reject the Null Hypothesis", how can we use the P-value to help make our decision? Choose the correct answer to fill in the blank. If our p-value is (less than/ greater than) _________________ the signicance level (?), then we (Reject the Null Hypothesis/ Do Not Reject the Null Hypothesis) _____________________.arrow_forward
- Using the P-value method decide if you should reject the null hypothesis or not. In a sample of 81 adults selected from one town, it is found that 8 of them have been exposed to a particular strain of the flu. At 0.01 level of significance, you wish to test the claim that the proportion of all adults in the town that have been exposed to this strain of the flu is 8%.arrow_forwardCalculate the test statistic Calculate the p value What is the conclusion for this hypothesis test?arrow_forwardPerform a statistical test for the given problem. Follow the steps in hypothesis testing when you present your results. To find out whether a new serum would arrest leukemia, 16 patients, who had all reached an advanced stage of the disease, were selected. Eight patients received the treatment and eight did not. The survival was taken from the time the experiment was conducted. Without Treatment: 1.8, 2.9, 3.3, 3.1, 2.4, 1.5, 1.5, 1.6 With Treatment: 3.9, 4.8, 4.7, 4.9, 4.2, 4.5, 5.5, 4.2arrow_forward
- Technology. In Exercises 9–12, test the given claim by using the display provided from technology. Use a 0.05 significance level. Identify the null and alternative hypotheses, test statistic, P-value (or range of P-values), or critical value(s), and state the final conclusion that addresses the original claim. Airport Data Speeds Data Set 32 “Airport Data Speeds” in Appendix B includes Sprint data speeds (mbps). The accompanying TI-83/84 Plus display results from using those data to test the claim that they are from a population having a mean less than 4.00 Mbps. Conduct the hypothesis test using these results. For Exercise 9arrow_forwardHow do I find the p value for a hypothesis testarrow_forwardFind the P-value for the indicated hypothesis test.In a sample of 47 adults selected randomly from Vancouver, it is found that 9 of them have been exposed to the flu. Find the P-value for a test of the claim that the proportion of all adults in Vancouver that have been exposed to this strain of the flu is more than 8%.arrow_forward
- Calculate the test statistic Calculate the p value What is the conclusion for this hypothesis test? What is the fundamental error with this analysis?arrow_forwardThe mayor of a town has proposed a plan for the construction of an adjoining bridge. A political study took a sample of 900 voters in the town and found that 48% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is not equal to 51%. Testing at the 0.05 level, is there enough evidence to support the strategist's claim? Step 1 of 6 : State the null and alternative hypotheses.arrow_forwardClassify the conclusion of the hypothesis test as a Type I error, a Type II error, or a correct decision. In 1992, the average math SAT score for students at one school was 479. Five years later, a teacher wants to perform a hypothesis test to determine whether the average math SAT score of students at the school has changed from the 1992 mean of 479. The hypotheses are: H0:μ =479 H1:μ ≠479 Suppose that the results of the sampling lead to rejection of the null hypothesis. Classify that conclusion as a Type I error, a Type II error, or a correct decision, if in fact the average math SAT score of students at the school has changed from the 1992 mean of 479.arrow_forward
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