MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- A hypothesis test is conducted in order to determine the average weight of a Kit Kat bar.using the following null and alternative hypotheses: H0: The average weight of a Kit Kat bar is 1.5 ounces. HA: The average weight of a Kit Kat bar is greater than 1.5 ounces. Using complete sentences, explain what both a Type 1 and Type 2 error would be in context of this hypothesis test.arrow_forwardAustin works in the marketing department for a large cable company. Recently, he heard that 56% of cable TV subscribers are considering dropping their cable TV subscription. He tests the claim by randomly selecting a sample of cable TV subscribers and asking whether they are considering dropping their cable TV subscription. Austin finds that 122 of the 224 he surveyed are considering dropping their cable TV subscription. What are the null and alternative hypotheses for this hypothesis test? Select the correct answer below: Ha: p0.56 Ho: p-0.56 Ha: p> 0.56 : p0.56 Ha: p0.56 Ho p 0.56 Ha p<0.56arrow_forward2arrow_forward
- The P-value for a hypothesis test is shown. Use the P-value to decide whether to reject Ho when the level of significance is (a) a = 0.01, (b) a = 0.05, and (c) a = 0.10. P=0.1162 (a) Do you reject or fail to reject H, at the 0.01 level of significance? O A. Reject H, because the P-value, 0.1162, is greater than a = 0.01. O B. Reject H, because the P-value, 0.1162, is less than a= 0.01. O C. Fail to reject Ho because the P-value, 0.1162, is less than a= 0.01. O D. Fail to reject H, because the P-value, 0.1162, is greater than a = 0.01. (b) Do you reject or fail to reject H, at the 0.05 level of significance? O A. Fail to reject H, because the P-value, 0.1162, is less than a = 0.05. O B. Reject Họ because the P-value, 0.1162, is greater than a = 0.05. O C. Fail to reject Ho because the P-value, 0.1162, is greater than a = 0.05. O D. Reject H, because the P-value, 0.1162, is less than oa = 0.05. (c) Do you reject or fail to reject Ho at the 0.10 level of significance? O A. Reject H,…arrow_forwardNeed help please!arrow_forwardIn 2011, a U.S. Census report determined that 52% of college students are working students. A researcher thinks this percentage has changed and surveys 182 college students. The researcher reports that 106 of the 182 are working students. Is there evidence to support the researcher's claim at the 1% significance level? a. Determine the null and alternative hypotheses. Ho:p = H1: p ?V (Select the correct symbol and enter the value.) b. Determine the test statistic. Round to two decimal places. c. Find the p - value. Round to four decimal places. p- value = d. Are the results statistically significant? O Fail to reject the null hypothesis. O Reject the null hypothesis. e. Write the conclusion. O There is not sufficient evidence to support the claim that the percentage of working college students has changed. O There is sufficient evidence to support the claim that the percentage of working college students has changed.arrow_forward
- An experimenter flips a coin 100 times and gets 54 heads. Test the claim that the coin is fair against the two-sided alternative. (Null and Alternate Hypothesis and Test Statistic) A. Ho: p = 0.50; Ha: p < 0.50; z = 0.800 B. Ho: p = 0.50; Ha: p > 0.50; z = 0.800 C. Ho: p = 0.50; Ha: p > 0.50; z = 0.081 D. Ho: p = 0.50; Ha: p ≠ 0.50; z = 0.800 E. Ho: p = 0.50; Ha: p ≠ 0.50; z = 0.081 (p-value and conclusion) A. p = 0.540; FRHo (No sufficient evidence to reject the claim) B. p = 0.424; RHo (Sufficient evidence exists to reject the claim) C. p = 1.576; FRHo (No sufficient evidence to reject the claim) D. p = 0.424; FRHo (No sufficient evidence to reject the claim) E. p = 1.576; RHo (No sufficient evidence to reject the claim)arrow_forwardAccording to a recent study in New York, 15% of shoppers are unfairly being charged sales tax in non-taxable items. Mr. Hypothesis feels this proportion is too low. He tests his belief by conducting a survey of 200 random shoppers. Which of the following is the null hypothesis? a. The percent of shoppers unfairly being charged sales tax on non-taxable items < .15 b. The percent of shoppers unfairly being charged sales tax on non-taxable items > .15 c. The percent of shoppers unfairly being charged sales tax on non-taxable items = .15arrow_forwardA store owner wanted to determine if more than 5% of customers made a purchase after he sent out a text. He sent out 300 texts to 300 randomly selected customers. Out of those 300, 17 made purchases. Is this evidence that if he sent out texts to all of his customers more than 5% would make purchases? What is the appropriate null and alternative hypothesis? Ho: p= 0.05 Ha: p> 0.05 O Ho: phat = 0.05 Ha: phat > 0.05 O Ho: p= 0.056 Ha: p > 0.056 O Ho: mu = 0.05 Hla: mu > 0.05arrow_forward
- Suppose that you want to perform a hypothesis test for a population mean, μ. a. Express the null hypothesis both in words and in symbolic form. b. Express each of the three possible alternative hypotheses in words and in symbolic form.arrow_forward(c) Calculate the test statistic. d) Decide whether to reject or fail to reject the null hypothesis. Then interpret the decision in the context of the original claim.arrow_forwardSuppose that in a random selection of 100 colored candies, 23% of them are blue. The candy company claims that the percentage of blue candies is equal to 29%. Use a 0.05 significance level to test that claim. Identify the null and alternative hypotheses for this test. Choose the correct answer below. O A. Ho: p=0.29 H1: p>0.29 O B. Ho: p#0.29 H1:p=0.29 O C. Ho: p=0.29 H1:p#0.29 OD. Ho: p=0.29 H1:p<0.29 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is . (Round to two decimal places as needed.) Identify the P-value for this hypothesis test. The P-value for this hypothesis test is (Round to three decimal places as needed.) Identify the conclusion for this hypothesis test. O A. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 29% O B. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 29%arrow_forward
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