Step 1: Read each situation Situation 1: One survey on runners in a marathon was made, and it was found out that 18% of runners take energy gels during a marathon. One runner wanted to test the claim. A random sample of 56 runners were asked, and 24% of them said that they take energy gels during a marathon. The standard deviation is 10. The significance level is 0.01. Situation 2: Based on one research, it is said that at most 75% of people migrating abroad with a different climate gets sick on their first month. To verify this claim, a sample of 260 people who migrated abroad were asked, and 68% of them said that they got sick during the first month of their stay. The standard deviation is 50. The significance level is 0.10. Situation 3: A wonder drug that cures cancer was recently released. The company claims that it is at least 86% effective. A random sample of 550 cancer patients were asked, and 90% of them said that it was effective. The standard deviation is 100. Use a significance level of 0.10. Situation 4: A survey on the best Philippine beaches was made, and at least 12% of the tourists’ favorite beach is in Siargao. Another traveler would like to check the claim, so a sample of 60 tourists were asked, and 8% of them said that their favorite beach is in Siargao. The standard deviation is 10. Use a significance level of 0.01. Step 2: Provide the following to each of the situations. - State the null and alternative hypotheses. - Determine and calculate the appropriate form of test statistic. - Determine the rejection region. - Decide whether to reject the null hypothesis. - Conclusion. - Graph.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Step 1: Read each situation Situation 1: One survey on runners in a marathon was made, and it was found out that 18% of runners take energy gels during a marathon. One runner wanted to test the claim. A random sample of 56 runners were asked, and 24% of them said that they take energy gels during a marathon. The standard deviation is 10. The significance level is 0.01. Situation 2: Based on one research, it is said that at most 75% of people migrating abroad with a different climate gets sick on their first month. To verify this claim, a sample of 260 people who migrated abroad were asked, and 68% of them said that they got sick during the first month of their stay. The standard deviation is 50. The significance level is 0.10. Situation 3: A wonder drug that cures cancer was recently released. The company claims that it is at least 86% effective. A random sample of 550 cancer patients were asked, and 90% of them said that it was effective. The standard deviation is 100. Use a significance level of 0.10. Situation 4: A survey on the best Philippine beaches was made, and at least 12% of the tourists’ favorite beach is in Siargao. Another traveler would like to check the claim, so a sample of 60 tourists were asked, and 8% of them said that their favorite beach is in Siargao. The standard deviation is 10. Use a significance level of 0.01. Step 2: Provide the following to each of the situations. - State the null and alternative hypotheses. - Determine and calculate the appropriate form of test statistic. - Determine the rejection region. - Decide whether to reject the null hypothesis. - Conclusion. - Graph.

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