Concept explainers
For Exercises 7 through 23, perform each of the following steps.
a. State the hypotheses and identify the claim.
b. Find the critical value(s).
c. Find the test value.
d. Make the decision.
e. Summarize the results.
Use the traditional method of hypothesis testing unless otherwise specified.
8. Cost of Braces The average cost for teeth straightening with metal braces is approximately $5400. A nationwide franchise thinks that its cost is below that figure. A random sample of 28 patients across the country had an average cost of $5250 with a standard deviation of $629. At α = 0.025, can it be concluded that the mean is less than $5400?
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Chapter 8 Solutions
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- how do i solve for parts b, d, and e?arrow_forwardNeed help with this please and thank you. Hypothesis testing: For the following exercise, answer each question. State the null and alternate hypothesis. State the p-value. State alpha. What is your decision? Write a conclusion. Answer any other questions asked in the problem. 107 . According to the Center for Disease Control website, in 2011 at least 18% of high school students have smoked a cigarette. An Introduction to Statistics class in Davies County, KY conducted a hypothesis test at the local high school (a medium sized–approximately 1,200 students–small city demographic) to determine if the local high school’s percentage was lower. One hundred fifty students were chosen at random and surveyed. Of the 150 students surveyed, 82 have smoked. Use a significance level of 0.05 and using appropriate statistical evidence, conduct a hypothesis test and state the conclusions.arrow_forwardIn Exercises, hypothesis tests are proposed. For each hypothesis test, a.identify the variable.b.identify the two populations.c.identify the pairs.d.identify the paired-difference variable.e.determine the null and alternative hypotheses.f.classify the hypothesis test as two tailed, left tailed, or right tailed. TV Viewing. The A. C. Nielsen Company collects data on the TV viewing habits of Americans and publishes the information in Nielsen Report on Television. Suppose that you want to use a paired sample to decide whether the mean viewing times of married men and married women differ.arrow_forward
- Using 1% for the significance level, find the conclusion of this hypothesis testing in words using the p-value approach. Follow the questions below. 1) State the p-value and interpret the p-value in words. 2) Using the significance level and the p-value, state the conclusion of this hypothesis testing.arrow_forwardPart B and Part C please! Thank You so much! Part C) For the hypothesis test, identify the vaule used for the population proportion and use the symbol that represents it.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
- You 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_forwardConsider the hypothesis test below, with n = 65 and p = 0.46. Ho: p=0.38 HA:p#0.38 a = 0.05 a. State the decision rule in terms of the critical value of the test statistic. b. State the calculated value of the test statistic. c. State the conclusion. a. Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to two decimal places as needed.) O A. Reject the null hypothesis if the calculated value of the test statistic, z, is greater than and less than Otherwise, do not reject the null hypothesis. O B. Reject the null hypothesis if the calculated value of the test statistic, z, is less than Otherwise, do not reject the null hypothesis. O C. Reject the null hypothesis if the calculated value of the test statistic, z, is greater than Otherwise, do not reject the null hypothesis. O D. Reiect the null hvpothesis if the calculated value of the test statistic. z. is areater than or less than Otherwise. do not reiect the null hvpothesis.arrow_forwardExpress the null hypothesis and the alternative hypothesis in symbolic form. Use the correct symbol (μ or p) for the indicated parameter.The mean college professors' salary is claimed to be over $80,300.arrow_forward
- What are the correct answers?arrow_forwardAdvertising and Sales. use the technology of your choice to perform the tests of hypotheses in parts (a) and (b).arrow_forwardDetermine the given of the problems below and formulate the null and alternative hypotheses both in words and symbols. Write your answer in your notebook. Please foliow the format in the examples. 1A health specialist wants to determine the average number of hours a person exercises in a day during the quarantine period. She found out that the mean number of hours a person exercises in a day during the quarantine period is 80 minutes. A random sample of 29 persons were surveyed and found that their mean is 65 minutes and a standard deviation of 10 minutes. Test the hypothesis at 2% level of significance and assume that the population is normally distributed. 2. A study was conducted to determine the marrying age of teachers. It was found out that the mean marrying age of teachers is 30 years old. Fifteen teachers were surveyed randomly and found that their mean marrying age was 33 years old with a standard deviation of 5 years. Use 10% level of significance to test the hypothesis and…arrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill