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For Exercises 1 through 25, perform each of the following steps.
a. State the hypotheses and identify the claim.
b. Find the critical value(s).
c. Compute the test value.
d. Make the decision.
e. Summarize the results.
Use diagrams to show the critical region (or regions), and use the traditional method of hypothesis testing unless otherwise specified.
5. Sick Days in Bed A researcher wishes to see if the average number of sick days a worker takes per year is greater than 5. A random sample of 32 workers at a large department store had a mean of 5.6. The standard deviation of the population is 1.2. Is there enough evidence to support the researcher’s claim at α = 0.01?
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- S Identify the type I error and the type II error for a hypothesis test of the indicated claim. The percentage of adults who retire at age 65 is less than 62%. Identify the type I error. Choose the correct answer below. OA. Reject the null hypothesis that the percentage of adults who retire at age 65 is less than 62% when it is actually true. OB. Fail to reject the null hypothesis that the percentage of adults who retire at age 65 is greater than or equal to 62% when it is actually false. OC. Fail to reject the null hypothesis that the percentage of adults who retire at age 65 is less than 62% when it is actually false. OD. Reject the null hypothesis that the percentage of adults who retire at age 65 is greater than or equal to 62% when it is actually true. Get more help - 4 Q Search P Pearson 3 right © 2023 Pearson Education Inc. All rights reserved. | Terms of Use | Privacy Policy | Permissions | Contact Us | S Clear all Check ansarrow_forwardPlease provide the steps 4 up to 7 of the hypothesis testing for the problem. Thank you!arrow_forwardDescribe type I and type II errors for a hypothesis test of the indicated claim. A furniture store claims that at least 40% of its new customers will return to buy their next piece of furniture. Describe the type I error. Choose the correct answer below. OA. A type I error will occur when the actual proportion of new customers who return to buy their next piece of furniture is at least 0.40, but you fail to reject Ho: p20.40. OB. A type I error will occur when the actual proportion of new customers who return to buy their next piece furniture is at least 0.40, but you reject Ho: p20.40. OC. A type I error will occur when the actual proportion of new customers who return to buy their next piece of furniture is no more than 0.40, but you reject Ho: p ≤ 0.40. OD. A type I error will occur when the actual proportion of new customers who return to buy their next piece f furniture is no more than 0.40, but you fail to reject Ho: p ≤0.40. Describe the type II error. Choose the correct answer…arrow_forward
- DIRECTIONS: Identify the appropriate hypothesis test for each of the following research situations labeled (a) - (d). Make sure to label your responses clearly! a. A researcher wants to see whether that is a significant difference people who sleep 4 hours per day and those who sleep 8 hours per day their work productivity. b. A researcher conducts a study to examine the relationship between happiness level and number of hours a kid spend time with their parents during summer time. C. A researcher would like to determine whether a nutrition milk will benefit for 6 months baby, a group of n=100 6 months baby is measured about their healthy level before and after nutrition milk is provided d. A researcher would like to determine whether there is a significant different between 2 months, 4 months and 6 months baby from drinking nutrition milk for 6 weeks on their healthy levelarrow_forwardUse the traditional method in testing the hypothesis in the problems below. In each problem, state the following:a. State the hypotheses and identify the claim.b. Find the critical value(s)c. Find the test value The manager of the cosmetics section of a large department store wants to determine whether newspaper advertising really does affect sales. For her experiment, she randomly selects 15 items currently in stock and proceeds to establish a baseline. The 15 items are priced at their usual competitive values, and the quantity of each item sold for a 1-week period is recorded. Then, without changing their price, she places a large ad in the newspaper, advertising the 15 items. Again, she records the quantity sold for a 1-week period. The results follow. Item 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15No. of Items Sold Before Ad 25 18 3 42 16 20 23 32 60 40 27 7 13 23 16No. of Items Sold After Ad 32 24 7 40 19 25 23 35 60 43 28 11 12 32 28arrow_forwardThe critical boundaries for a hypothesis test are z = +1.96 and -1.96. If the z-score for the sample data is z =-1.90, what is the correct statistical decision? Question options: a. Reject H1 b. Fail to reject H1 c. Fail to reject H0 d. Reject H0arrow_forward
- Describe type I and type II errors for a hypothesis test of the indicated claim. A clothing store claims that at least 80% of its new customers will return to buy their next article of clothing. Describe the type I error. Choose the correct answer below. OA. A type I error will occur when the actual proportion of new customers who return buy their next article of clothing is at least 0.80, but you reject Ho: p20.80. OB. A type I error will occur when the actual proportion of new customers who return to buy their next article of clothing is at least 0.80, but you fail to reject Ho: p20.80. OC. A type I error will occur when the actual proportion of new customers who return article of clothing is no more than 0.80, but you fail to reject Ho: p≤0.80. OD. A type I error will occur when the actual proportion of new customers who return article of clothing is no more than 0.80, but you reject Ho: p≤0.80. buy their next buy their nextarrow_forwardYou may need to use the appropriate technology to answer this question. Tourism is extremely important to the economy of Florida. Hotel occupancy is an often-reported measure of visitor volume and visitor activity (Orlando Sentinel). Hotel occupancy data for February in two consecutive years are as follows. Current Year Previous Year OccupiedRooms 1,470 1,458 TotalRooms 1,750 1,800 (a) Formulate the hypothesis test that can be used to determine if there has been an increase in the proportion of rooms occupied over the one-year period. (Let p1 = population proportion of rooms occupied for current year and p2 = population proportion of rooms occupied for previous year.) H0: p1 − p2 ≥ 0 Ha: p1 − p2 < 0 H0: p1 − p2 ≠ 0 Ha: p1 − p2 = 0 H0: p1 − p2 ≤ 0 Ha: p1 − p2 > 0 H0: p1 − p2 < 0 Ha: p1 − p2 = 0 H0: p1 − p2 = 0 Ha: p1 − p2 ≠ 0 (b) What is the estimated proportion of hotel rooms occupied each year? currentprevious (c) Calculate the test statistic.…arrow_forwardYou may need to use the appropriate technology to answer this question. Tourism is extremely important to the economy of Florida. Hotel occupancy is an often-reported measure of visitor volume and visitor activity (Orlando Sentinel). Hotel occupancy data for February in two consecutive years are as follows. Current Year Previous Year OccupiedRooms 1,470 1,458 TotalRooms 1,750 1,800 (a) Formulate the hypothesis test that can be used to determine if there has been an increase in the proportion of rooms occupied over the one-year period. (Let p1 = population proportion of rooms occupied for current year and p2 = population proportion of rooms occupied for previous year.) H0: p1 − p2 ≤ 0 Ha: p1 − p2 > 0 (b) What is the estimated proportion of hotel rooms occupied each year? current: 0.84 previous: 0.81 (c) Calculate the test statistic. (Round your answer to two decimal places.) ? What is the p-value? (Round your answer to four decimal places.) p-value = ?…arrow_forward
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