According to the American Time Use Survey, the mean number of hours each day Americans age 15 and older spend eating and drinking is 1.22. A researcher wanted to know if Americans age 15 to 19 spent less time eating and drinking. After surveying 50 Americans age 15 to 19 and running the appropriate hypothesis test, she obtained a p-value of 0.0329. 1. State the null and alternative hypothesis this researcher used. 2. This is a -tailed test since.(complete this sentence). 3. Interpret the p-value. 4. Determine and explain what a Type I error would be for this situation. What level of severity is this for this context? (How bad is it if this conclusion is incorrect based on this sample?) 5. According to the same survey, people aged 25 - 54, employed with children spend 1 hour per day eating / drinking. Does this seem accurate for you (depending on your age)?
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- A group of transfer bound students wondered if they will spend the same mean amount on texts and supplies each year at their four-year university as they have at their community college. They conducted a random survey of 54 students at their community college and 66 students at their local four-year university. The sample means were $947 and $1,011, respectively. The population standard deviations are known to be $254 and $87, respectively. You are to conduct a hypothesis test to determine if the means are statistically the same using 5% as alpha What is the computed test statistic?NebNas manages the credit department for a grocery store chain in the province, and she would like to determine whether the mean monthly balance of credit card holders is equal to $95. A random sample of 100 accounts indicated that the mean owed is $101.5 with a sample standard deviation of $25.6. If she wanted to test whether the mean balance is different from $95 and decided to reject the null hypothesis, what will be the p-value of the test?A quiz related to digital knowledge was conducted. The quiz had 10 questions and covered topics such as the purpose of browser cookies, phishing scams, and privacy policies. The survey was given to 50 people. The mean score is 4.1 with a standard deviation of 2.6. We want to know if the data provide evidence that the mean score in the population is lower than 5. We will use alpha = 0.05 to make our decision. What is the null hypothesis for this question? Group of answer choices a. The proportion of people who pass the test is 5. b. The mean test score of the population is 5. c. The mean test score of the 50 people who took the test is 5. d.The standard deviation is 2.6
- NebNas manages the credit department for a grocery store chain in the province, and she would like to determine whether the mean monthly balance of credit card holders is equal to $95. A random sample of 100 accounts indicated that the mean owed is $101.5 with a sample standard deviation of $25.6. If she wanted to test whether the mean balance is different from $95 and decided to reject the null hypothesis, what will be the p-value of the test?One urban affairs sociologist claims that the proportion, p, of adult residents of a particular city who have been victimized by a criminal is at least 55%. A random sample of 160 adult residents of this city were questioned, and it was found that 71 of them had been victimized by a criminal. Based on these data, can we reject the sociologist's claim at the 0.05 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H,. H. :0 H :0 (b) Determine the type of test statistic to use. (Choose one) ▼ O=0 OSO O20 (c) Find the value of the test statistic. (Round to three or more decimal places.) OA magazine reported that at the top 50 business schools in a region, students studied an average of 13.3 hours. Set up a hypothesis test to try to prove that the mean number of hours studied at your school is different from the reported 13.3 hour benchmark. Complete parts (a) through (c) below. O E. H X#13.3 H: X= 13.3 P. Ho p=13.3 H, p#13.3 O G. H, p= 13.3 H, X+13.3 OH. H, p#13.3 H, p=13.3 OL H a 13.3 H: a = 13.3 O J. Ho a= 13.3 H a# 13.3 O K. H, p# 13.3 H1: X= 13.3 OL Ho B#13.3 H B= 13.3 b. What is a Type I error for your test? A. Concluding that the mean number of hours studied at your school is different from the reported 13.3 hour benchmark when in fact it is not different O B. Concluding that the mean number of hours studied at your school is different from the reported 13.3 hour benchmark when in fact it is different C. Concluding that the mean number of hours studied at your school is not different from the reported 13.3 hour benchmark when in fact it is different c. What is a…The mean age of bus drivers in chicago is 56.7 years. If a hypothesis test is performed, how should you interpret a decision that rejects the null hypothesis?Meth Barie's ice cream shop wants to decide whether to introduce a new ice cream flavor. They randomly selected 15 customers at their downtown Denton location to rate this new flavor. The rating is on a scale of 1 to 5, with 1 being 'not interested' and 5 being 'strongly interested'. Meth Barie's will approve the new flavor if the true mean rating is over 4.0. What is the Null hypothesis for testing whether the new ice cream should be approved?Two species of fish have similar phenotvpes to each other, researchers wonder if they can classify these fish species based on their sizes. One species has mean size of 10cm, with standard deviation of 1. The other species has mean size of 12cm, with standard deviation of 2. Size of 15 fish from each species were measured. a. Which hypothesis testing method can be used to compare the mean size of the two populations? Perform the test for a = 0.01. How does result of this test help the researchers to decide if they can classify these fish species based on their sizes?One urban affairs sociologist claims that the proportion, p, of adult residents of a particular city who have been victimized by a criminal is at least 50%. A random sample of 180 adult residents of this city were questioned, and it was found that 76 of them had been victimized by a criminal. Based on these data, can we reject the sociologist's claim at the 0.05 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H. p H :0 H :0 (b) Determine the type of test statistic to use. (Choose one) ▼ D=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) OIn the past, the mean running time for a certain type of flashlight battery has been 8.5 hours. The manufacturer has introduced a change in the production method and wants to perform a hypothesis test to determine whether the mean running time has changed as a result. A. Lower-tailed B. Upper-tailed C. Two-sided O A B O CSuppose the null hypothesis is not rejected. State the conclusion based on the results of the test. 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