Testing Hypotheses. In Exercises 9-24, 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
13. M&M Weights A simple random sample of the weights of 19 green M&Ms has a
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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_forwardUsing 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_forward
- Perform 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_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
- Draw the conclusion by using the five-step hypothesis testing procedure. Show your solution either using the critical value method or the p- value method. A nationwide poll claims that the country’s president has less than a 64% approval rating.In a random sample of 120 people, 69 people gave the president a positive approval rating.Test the claim at a 0.05 level of significance.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_forwardTechnology. 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_forward
- Find 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_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 4 of 6 : Determine the decision rule for rejecting the null hypothesis, H0H0.arrow_forwardA certain medication is supposed to contain a dosage of 250 mgper pill. A lab is quality testing the drug to determine if it contains the correctdosage, on average.A sample of 50 pills has average dosage 232 mg with standarddeviation 25 mg. At a 2% level of significance, perform the hypothesis test.arrow_forward
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