Final Conclusions. In Exercises 25–28, use a significance level of α = 0.05 and use the given information for the following:
a. State a conclusion about the null hypothesis. (Reject H0 or fail to reject H0.)
b. Without using technical terms or symbols, state a Final conclusion that addresses the original claim.
27. Original claim: The
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- We want to determine if the true proportion of students who do aerobics is less than 45%. Which are the correct hypotheses? Ho: P = 0.45; Ha: P≠ 0.45 Ho: P = 0.45; Ha: P > 0.45 Ho: P ≥ 0.45; Ha:P < 0.45 Ho: μ ≥ 0.45; Ha: μ < 0.45arrow_forwardAccording to a report on consumer fraud and identity theft, 21% of all complaints for a year were for identity theft. In that year, Ohio had 273 complaints of identity theft out of 1405 consumer complaints. Does this data provide enough evidence to show that Ohio had a lower proportion of identity theft than 21%? Test at the 1% level. State the hypotheses. Ho: P = v or .21 Ha: parrow_forwardP -Values. In Exercises 17–20, do the following: a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. Find the p -value. (See Figure 8-3 on page 364.) c. Using a significance level of α = 0.05, should we reject H0 or should we fail to reject H0? The test statistic of z = −2.50 is obtained when testing the claim that p < 0.75.arrow_forwardFrom the table on the image: Construct an appropriate hypothesis test to determine whether or not there is an association between experiencing phenomena such as seeing a ghost and the age group you are in. Write the appropriate null/alternative hypothesis and carry out the test. Use a significance level of α = 0.01.arrow_forwardTourism is extremely important to the economy of Florida. Hotel occupancy is an often-reported measure of visitor volume and visitor activity (Orlando Sentinel, May 19, 2018). Hotel occupancy data for February in two consecutive years are as follows. Let P1= population proportion of rooms occupied for current year P2= population proportion of rooms occupied for previous year 1,476 1,800 1,343 1,700 a. Formulate the hypothesis test that can be used to determine whether there has been an increase in the proportion of rooms occupied over the one-year period. Current year Ho: P1-P2 - Select your answer - Ha P1 P2 - Select your answer - b. What is the estimated proportion of hotel rooms occupied each year (to 2 decimals)? Previous Year Occupied Rooms Total Rooms * c. Conduct a hypothesis test. What is the p-value (to 4 decimals)? Use Table 1 from Appendix B. p-value = Using a 0.05 level of significance, what is your conclusion? Current Year to Do you think area officials would be pleased…arrow_forwardUse the 5 steps solution on Hypothesis Testing. A. Null and alternative hyposthesis B. Significance level type of test (one-tailed or two-tailed type) C. Test statistics or statistical tool D. Observed P-value E. Decision (reject Ho or not)arrow_forwardFinal Conclusions. In Exercises 25–28, use a significance level of α = 0.05 and use the given information for the following: a. State a conclusion about the null hypothesis. (Reject H0 or fail to reject H0) b. Without using technical terms or symbols, state a final conclusion that addresses the original claim. Original claim: More than 58% of adults would erase all of their personal information online if they could. The hypothesis test results in a P-value of 0.3257.arrow_forward3. A drug considered unsafe if more than 5% of the patients develop serious side effects. In order to study the safety of a new drug, a Company tests the following null and alternative hypotheses. H :T 0.05: Discuss the type I and Type II error in this situation. Is this a good test? Explain. aarrow_forwardsolve all partsarrow_forwardWhat are the hypotheses for the test? A. H0: β1≠0 and Ha: β1=0 B. H0: β1=0 and Ha: β1<0 C. H0: β1=0 and Ha: β1>0 Your answer is not correct. D. H0: β1=0 and Ha: β1≠0 This is the correct answer. What is the test statistic? t= (Round to two decimal places as needed.) Find the P-value. P-value= (Round to three decimal places as needed.) Part 4 Which of the following is the correct conclusion for the hypothesis test? A. Do not reject H0; the data provide sufficient evidence to conclude that x is useful for predicting y. B. Reject H0; the data do not provide sufficient evidence to conclude that x is useful for predicting y. C. Do not reject H0; the data do not provide sufficient evidence to conclude that x is useful for predicting y. Your answer is correct. D. Reject H0; the data provide sufficient evidence to conclude that x is useful for predicting y. Part 5 b. Find a 95%…arrow_forwardTest the claim about the population mean, µ, at the given level of significance using the given sample statistics. Claim: µ + 7000; a = 0.03; o = 410. Sample statistics: x = 6900, n= 35 Identify the null and alternative hypotheses. Choose the correct answer below. A. Ho: µ+7000 Ha: µ = 7000 B. Ho: µ = 7000 Ha: µ#7000 Ho: µ+7000 Ha: µs7000 Ho: µ+7000 Ha: μ2 7000 Ο Ε. H0: μ> 7000 Ha: µ#7000 ΟF H μ 7000 Ha: µ#7000 Calculate the standardized test statistic. The standardized test statistic is - 1.44 . (Round to two decimal places as needed.) Determine the critical value(s). Select the correct choice below and fill in the answer box to complete your choice. (Round to two decimal places as needed.) A. The critical values are ± B. The critical value isarrow_forwarda. write a research question b. state the null and alternative hypotheses c. calculate the test statisticarrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
- Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGALGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill