For Exercises 2 through 12, perform each of these steps. Assume that all variables are normally or approximately
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 the traditional method of hypothesis testing unless otherwise specified.
8. Overweight Dogs A veterinary nutritionist developed a diet for overweight dogs. The total volume of food consumed remains the same, but one-half of the dog food is replaced with a low-calorie “filler” such as canned green beans. Six overweight dogs were randomly selected from her practice and were put on this program. Their initial weights were recorded, and they were weighed again after 4 weeks. At the 0.05 level of significance, can it be concluded that the dogs lost weight?
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- General Direction: For activities that involve solution to pr0blems, perform the steps in conducting hypothesis testing such as stating of problems and hypothesis, and so on.arrow_forwardThe following table contains the number of successes and failures for three categories of a variable. Test whether the proportions are equal for each category at the a = 0.1 level of significance. Category Category 2 Category Failures 34 78 44 Successes 24 50 88 EClick the icon to view the Chi-Square table of critical values. State the hypotheses. Choose the correct answer below A. H:The categories of the variable and success and failure are independent. H: The categories of the variable and success and failure are dependent. B. Ho H1 E and u2 E2 and H,: At least one mean is different from what is expected. H3 E3 C. H: The categories of the variable and success and failure are dependent H: The categories of the variable and success and failure are independent. OD. H: p. pp Click to select your answer(s).arrow_forwardFind the p-value for the problem, assume the population is normally distributed. Show all steps for hypothesis testing. Claim: u > 55; o = 2.5. Sample statistics: x = 54.4, n = 32. %3D Tablarrow_forward
- Identify the type I error and the type ll error for a hypothesis test of the indicated claim. The percentage of adults who retire at age 65 is equal to 62%. Identify the type I error. Choose the correct answer below. OA. Fail to reject the null hypothesis that the percentage of adults who retire at age 65 is equal to 62% when it is actually false. OB. Reject the null hypothesis that the percentage of adults who retire at age 65 is equal to 62% when it is actually false. OC. Reject the null hypothesis that the percentage of adults who retire at age 65 is equal to 62% when it is actually true. OD. Fail to reject the null hypothesis that the percentage of adults who retire at age 65 is equal to 62% when it is actually true. Identify the type Il error. Choose the correct answer below. OA. Fail to reject the null hypothesis that the percentage of adults who retire at age 65 is equal to 62% when it is actually false. OB. Fail to reject the null hypothesis that the percentage of adults who…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_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_forward
- Please answer number 4, a-e. Thanksarrow_forwardDetermine the null and alternative hypotheses. Choose the correct choice below. A. H0: The distribution of the variable is the same as the given distribution. Ha: The distribution of the variable differs from the given distribution. answer is correct. B. H0: The distribution of the variable differs from the normal distribution. Ha: The distribution of the variable is the normal distribution. C. H0: The distribution of the variable differs from the given distribution. Ha: The distribution of the variable is the same as the given distribution. D. H0: The expected frequencies are all equal to 5. Ha: At least one expected frequency differs from 5. Compute the value of the test statistic, χ2. χ2= (Round to three decimal places as needed.) Find the P-value. P= (Round to three decimal places as needed.) Does the data provide sufficient evidence that the distribution of the variable differs from the given distribution?…arrow_forwardDetermine u; and o; from the given parameters of the population and sample size X. µ = 82, o = 8, n = 64 Enter your answer in the answer box and then click Check Answer. IIarrow_forward
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