In a2 random sample of 50 bookstores in Toronto, it is observed that the average price of a bestselling novel is $25.50 with a standard deviation of $2.40. Using alpha = 0.05, determine if the average price is significantly lower than $26.00. Fill in the blanks to construct the correct null and alternate hypotheses. Ho: [ Select ] w | [ Select] [ Select ] Ha: [ Select ] w || [Select] [ Select ] Question 2 1 pts Use the following information for Questions 2-3. Ella i= looking at phone games on the App store. She notices that, for 60 apps, the average price of is $4.25 with a standard deviation of $0.55. Using a = 0.05, determine if the app price is significantly less than $4.50. Hg: pp = 4.50 Ha: pt | Question 3 1 pts If a p-value of 0.065 were found, what would the decision be? Fill in the blanks to make the sentence below correct. | [ Select] | The average is [ Select ] [ Select ] Question 4 1 pts Use the following information to answer questions 4 - 5: For all job postings in Seattle, 15% mentioned that remote work is an option. In comparison, for random sample of 400 IT jobs, 12.2% indicate that remote work is an option. Is the proportion of IT jobs that allow remote work significantly lower than the proportion for all job postings in Seattle? Use alpha = 0.01 and consider the following hypotheses: Hg:p=0.15 Ha:p =015 What is the test statistic? Answer to three decimal places s What is the critical value for this hypothesis test? Use alpha = 0.01. Answer to three decimal places. Use the following information for Questions 6-7. In a survey of 200 residents in Miami, it is discovered that, on average, they spend $1,250 monthly on rent for a one-bedroom apartment in particular location, with a standard deviation of $120. Census data indicate that the average monthly income for Miami residents is 3,200. Some financial planners say that renters should not be spending more than 40% of their monthly income on rent. Does the average rent expenditure exceed $1280 (which is 40% of the average monthly income)? Fill in the blanks to construct the correct null and alternate hypotheses. Hg: [ Select ] w | [Select] [ Select ] Ha: [ Select ] w | [ Select] [ Select ] Using alpha = 0.05, what would the critical value be if the hypothesis test were one-sided? Using alpha = 0.05, what would the critical value be if the hypothesis test were two-sided? Answer as positive values to three decimal places. Using alpha = 0.05, what would the critical value be if the hypothesis test were one-sided? Using alpha = 0.05, what would the critical value be if the hypothesis test were two-sided? Answer as positive values to three decimal places. Question 8 1 pts Use the following information for Questions 8-9. In 2 random sample of 50 students at a university, the average time spent on social media per day is analyzed. Assume that the distribution is approximately Mormal. A hypothesis test is conducted to determine if the average time spent on social media by students is significantly more than 2 hours using the hypotheses below: Hg: = 2 hours Ha: gt = 2 hours The test statistic found was 2.112. What would the p-value for this hypothesis test be? Answer to four decimal places. e If the critical value is 1.299, what would the decision be? Fill in the blanks to make the following sentences correct. The average time spent on social media is [ Select ] Fail to reject HO Reject HO e If the critical value is 1.299, what would the decision be? Fill in the blanks to make the following sentences correct. [ Select ] | . The average time spent on social media is [ Select ] w || [Select] ~ | 2 hours. i significantly | not significantly e If the critical value is 1.299, what would the decision be? Fill in the blanks to make the following sentences correct. [ Select ] | . The average time spent on social media is [ Select] [ Select ] | 2 hours. less than more than . different from Question 10 1 pts In a random sample of 35 students at a college, the average daily calorie intake is 2200 calories with a standard deviation of 280 calories. Assume that the distribution is approximately Normal. What minimum sample size is needed for the margin of error of 3 99% confidence interval to be at most 50 calories? Answer as a whole number. Question 11 1 pts In a survey of 800 randomly chosen people who live in Vancouver, the average monthly expenditure on groceries and dining is $600. Which of the following are correct statements about the 95% confidence interval ($580, $620) for the average monthly expenditure on groceries and dining? Select all correct answers. [ It is probably true that the mean is $600. You can be 95% confident that the true mean is between $580 and $420. [ 95% of samples of size BOD will produce confidence intervals that capture the true mean. [} This confidence interval will capture the true mean 95% of the time. [ 95% of confidence intervals will include the sample mean. In all of the United States, approximately 13% of the population lacks access to broadband internet. In a sample of 150 people from a rural town in Qhio, it is found that 15 people do not have access to broadband internet. Is the proportion of people lacking access to broadband internet in this rural town lower than the proportion for the whole country? Fill in the blanks to construct the correct null and alternate hypotheses. Hg: [ Select ] w || [ Select ] [ Select ] Ha: [ Select ] w || [ Select ] [ Select ] Question 13 1 pts Use the following information for Questions 13-14. In a random sample of 1200 people who received a flu vaccine, 5% reported no side effects. Is this significantly different from the proportion that was observed for all people who received the flu vaccine the previous year (93%)? Use alpha = 0.01 for this hypothesis test. Hg:p =093 Hy: p=0.93 What is the value of the test statistic? Answer to three decimal places. s What would the p-value be if the test statistic were equal to 1.757 Answer to four decimal places. In a random sample of 150 individuals who have recently purchased a new vehicle, the average cost of the vehicle is $28,000 with a standard deviation of $4,.600. The distribution is approximately Mormal for this sample. Calculate the three parts of the 95% confidence interval for the sample mean: estimate +/- (critical value)X(standard error) +/- X Give answers to three decimal places as needed. Do not include any units. Question 16 1 pts Use the following information for Questions 16-17. A study suggests that 25% of 25-year-olds are married. You believe that this proportion is incorrect and decide to collect yvour own sample and conduct a hypothesis test. You use a random sample of 500 25-year-olds drawn from census data, and you find that 22% of them are married. Using a=0.05, is there a significant difference between the study's claim and your conclusion regarding the proportion of 25-year-olds who are married? What is the value of the test statistic? Round your answer to three decimal places. Question 17 1 pts Assume that the p-value found is 0.134. What is your conclusion, and is the survey data sufficient to invalidate the study? Fill in the blanks to the the following sentences correct. [ Select ] ~| . The survey data are [ 9lect] lto invalidate the study. Assume that the p-value found is 0.134. What is your conclusion, and is the survey data sufficient to invalidate the study? Fill in the blanks to the the following sentences correct. [ Select ] - [ Select ] | . The survey data are to Fail to reject HO | Feject HO Question 17 1 pts Assume that the p-value found is 0.134. What is your conclusion, and is the survey data sufficient to invalidate the study? Fill in the blanks to the the following sentences correct. [ Select ] | . The survey data are to [ Select ] w invalidate the study. sufficient | not sufficient Question 18 1 pts Use the following information for Questions 18-19. Kayla would like to determine the average amount of money people spend on clothes each month. She collects a random sample from 100 people and finds the following three parts for a 99% confidence interval: estimate +/- (critical value)x(standard error) 160 +/- 2.626 x 2.84 Find the lower limit and the upper limit for the 99% confidence interval, expressed as (lower, upper). Round your answers to two decimal places. 9% Cl = (% .5 You would like to use the confidence interval from the previous question to determine if the average monthly amount spent on clothes is significantly different from $150. How would you use the confidence interval to make the decision? Fill in the blanks to make the following sentences correct. 1f| [Select] lis included in the confidence interval, the decision for the hypothesis test would be | [Select] 1f| [Select] |is NOT included in the confidence interval, the decision for the hypothesis test would be | [ Select] How would you use the confidence interval to make the decision? Fill in the blanks to make the following sentences correct. 1f| [Select] lis included in the confidence interval, the decision for the [ Select ] y 100 L] v | 150 I | 160 ! If [ Select ] is included in the confidence interval, the decision for the hypothesis test would be [ Select ] [ Select ] fail to reject HO If [ Select ] reject HO confidence interval, the decision foIf [ Select ] is NOT included in the confidence interval, the decision for [ Select ] th 100 (elect ] 150 160If [ Select ] is NOT included in the confidence interval, the decision for the hypothesis test would be [ Select ] [ Select ] fail to reject HO reject HOMatch each of the following to the given confidence levels. 0% confidence [ Choose | Has a t critical value of approximately 2. 95% confidence Used for a one-sided hypothesis test with alpha = 0.01. Used for a two-sided hypothesis test with alpha = 0.10. | Used for a two-sided hypothesis test with alpha = 0.01.] 98% conhdence : [ Choose ] - 99% confdence [ Choose ]