The data below show sport preference and age of participant from a random sample of members of a sports club. Is there evidence to suggest that they are related? Frequencies of Sport Preference and Age Tennis Swimming Basketball 18-25 87 83 85 26-30 98 93 89 31-40 66 66 56 Over 40 55 89 58 What can be concluded at the a = 0.10 significance level? a. What is the correct statistical test to use? Homogeneity Independence Paired t-test Goodness-of-Fit b. What are the null and alternative hypotheses? Ho The age distribution is not the same for each sport. Age and sport preference are dependent. The age distribution is the same for each sport. O Age and sport preference are independent. H₁: The age distribution is not the same for each sport. Age and sport preference are dependent. Age and sport preference are independent. The age distribution is the same for each sport. c. The test-statistic for this data = d. The p-value for this sample = e. The p-value is Select an answer α (Please show your answer to three decimal places.) (Please show your answer to four decimal places.) f. Based on this, we should fail to reject the null accept the null reject the null g. Thus, the final conclusion is... There is insufficient evidence to conclude that the age distribution is not the same for each sport There is sufficient evidence to conclude that age and sport are dependent. There is sufficient evidence to conclude that the age distribution is not the same for each sport. There is insufficient evidence to conclude that age and sport are dependent. There is sufficient evidence to conclude that age and sport are independent.

need   C and D  please

The work week for adults in the US that work full time is normally distributed with a mean of 47 hours. A newly hired engineer at a start-up company believes that employees at start-up companies work more on average then most working adults in the US. She asks 12 engineering friends at start-ups for the lengths in hours of their work week. Their responses are shown in the table below. Test the claim using a 10% level of significance. Hours 47 47 55 51 48 65 51 52 50 49 51 54 What are the correct hypotheses? Ho: Select an answer ✓ ? ✓ Ha: Select an answer ✓ Test Statistic= hours Based on the hypotheses, find the following: p-value= hours (Give answer to at least 4 decimal places.) (Give answer to at least 4 decimal places).

The following data lists the ages of a random selection of actresses when they won an award in the category of Best Actress, along with the ages of actors when they won in the category of Best Actor the same year. Using a 0.05 significance level, test the claim that for the population of ages of Best Actresses and Best Actors, the differences have a mean less than 0. This claim would indicate that the Best Actresses are generally younger than Best Actors. Actress (years) 27 30 31 27 37 28 29 40 30 32 Actor (years) 66 33 40 34 27 34 48 42 41 43 State the claim, null, and alternative hypothesis. Claim: μd          0 HO: μd                    0 H1: μd                      0

Do Predicted Temperatures match Actual Temperatures? The table shows the predicted and actual temperatures for a seven day period. Assume that the two samples are randomly selected. At the 0.01 significance level, test the claim that there is no mean difference in the predicted and actual temperatures. (Be sure to subtract in the same direction). Predicted Temperatures °F Actual Temperatures °F Difference °F 87 87 83 85 78 75 81 86 85 90 80 81 76 79 What are the correct hypotheses? (Select the correct symbols and values.) Họ: Select an answer v? Select an answer H1: Select an answer ? v Select an answer Original Claim = Select an answer Select an answer H: Ho df =

1st box is: Do not reject or Reject 2nd box is: do not provide or provide 3rd box is: greater than or the same as or different from or less than

Does the type of instruction in a college statistics class (either lecture or self-paced) influence students’ performance, as measured by the number of quizzes successfully completed during the semester? Twelve students were recruited for the study. Students received the lecture instruction or a self-paced instruction. The total number of quizzes completed during teach type of instruction appear below.

The type of household for the U.S. population and for a random sample of 411 households from a community in Montana are shown below. Observed Number of Households in the Community Percent of U.S. Type of Household Households Married with children 26% 110 Married, no children Single parent One person Other (e.g., roommates, siblings) 29% 101 32 25% 98 11% 70 Use a 5% level of significance to test the claim that the distribution of U.S. households fits the Dove Creek distribution. (a) What is the level of significance? State the nul and alternate hypotheses. O Ho: The distributions are different. H: The distributions are the same. O Hg: The distributions are the same. H: The distributions are different. O Hg: The distributions are the same. H: The distributions are the same. O Hg: The distributions are different. H: The distributions are different. (b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to two decimal places. Round the test…

The data below show sport preference and age of participant from a random sample of members of a sports club. Is there evidence to suggest that they are related?   Tennis Swimming Basketball 18-25 68 100 88 26-30 110 93 52 31-40 90 88 69 Over 40 68 66 49  What can be concluded at the αα = 0.10 significance level? What is the correct statistical test to use? Goodness-of-Fit Homogeneity Independence Paired t-test What are the null and alternative hypotheses?H0:H0:  Age and sport preference are independent. Age and sport preference are dependent. The age distribution is the same for each sport. The age distribution is not the same for each sport. H1:H1:  The age distribution is the same for each sport. Age and sport preference are dependent. Age and sport preference are independent. The age distribution is not the same for each sport. The test-statistic for this data =      (Please show your answer to three decimal places.) The p-value for this sample =…

The average retirement age in America is 62 years old. Do small business owners retire at an older average age? The data below shows the results of a survey of small business owners who have recently retired. Assume that the distribution of the population is normal. 73, 55, 72, 67, 56, 66, 56, 55, 74, 65, 62, 72, 75 What can be concluded at the the a = 0.01 level of significance level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho ? ◇ Select an answer H₁: ? ✨ Select an answer ✰ c. The test statistic? = your answer to 3 decimal places.) d. The p-value = to 4 decimal places.) e. The p-value is ? ✨ a (please show (Please show your answer f. Based on this, we should Select an answer the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the population mean is not significantly older than 62 at a = 0.01, so there is sufficient evidence to conclude that the population mean retirement age for…