9.37 A group of high school students were in the same math, English, social studies, and science classes. A researcher monitored how much time, during a week, they spent online in school activities (doing homework) vs. how much time they spent online in social activities (on Facebook, chatting, playing multi-player games). The researcher planned to use a paired-samples t test to analyze the data to see if there was a difference in time spent on the two activities. Based on the assumptions, is it OK to proceed with the test?
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- List the sample space of each experiment. Tossing three coinsList the sample space of each experiment. Picking a one-digit numberA random sample of n1 = 148 people ages 16 to 19 were taken from the island of Oahu, Hawaii, and 14 were found to be high school dropouts. Another random sample of n2 = 125 people ages 16 to 19 were taken from Sweetwater County, Wyoming, and 5 were found to be high school dropouts. Do these data indicate that the population proportion of high school dropouts on Oahu is different (either way) from that of Sweetwater County? Use a 1% level of significance.
- A random sample of n1 = 157 people ages 16 to 19 were taken from the island of Oahu, Hawaii, and 12 were found to be high school dropouts. Another random sample of n2 = 129 people ages 16 to 19 were taken from Sweetwater County, Wyoming, and 6 were found to be high school dropouts. Do these data indicate that the population proportion of high school dropouts on Oahu is different (either way) from that of Sweetwater County? Use a 1% level of significance. (a) What is the level of significance? What is the value of the sample test statistic? (Test the difference p1 − p2. Do not use rounded values. Round your final answer to two decimal places.) (c) Find (or estimate) the P-value. (Round your answer to four decimal places.)A random sample of n1 = 157 people ages 16 to 19 were taken from the island of Oahu, Hawaii, and 12 were found to be high school dropouts. Another random sample of n2 = 129 people ages 16 to 19 were taken from Sweetwater County, Wyoming, and 6 were found to be high school dropouts. Do these data indicate that the population proportion of high school dropouts on Oahu is different (either way) from that of Sweetwater County? Use a 1% level of significance. (a) What is the level of significance? (b)What is the value of the sample test statistic? (Test the difference p1 − p2. Do not use rounded values. Round your final answer to two decimal places.) (c) Find (or estimate) the P-value. (Round your answer to four decimal places.)A random sample of n1 = 149 people ages 16 to 19 were taken from the island of Oahu, Hawaii, and 8 were found to be high school dropouts. Another random sample of n2 = 123 people ages 16 to 19 were taken from Sweetwater County, Wyoming, and 10 were found to be high school dropouts. Do these data indicate that the population proportion of high school dropouts on Oahu is different (either way) from that of Sweetwater County? Use a 1% level of significance. (a) What is the level of significance? .01 (b) State the null and alternate hypotheses.H0: p1 = p2; H1: p1 ≠ p2 (c) What sampling distribution will you use? What assumptions are you making? (A) The standard normal. The number of trials is sufficiently large. (B)The Student's t. The number of trials is sufficiently large. (C)The standard normal. We assume the population distributions are approximately normal. (D)The Student's t. We assume the population distributions are approximately normal. (d) What is the value of the sample…
- A random sample of n1 = 154 people ages 16 to 19 were taken from the island of Oahu, Hawaii, and 11 were found to be high school dropouts. Another random sample of n2 = 136 people ages 16 to 19 were taken from Sweetwater County, Wyoming, and 5 were found to be high school dropouts. Do these data indicate that the population proportion of high school dropouts on Oahu is different (either way) from that of Sweetwater County? Use a 1% level of significance. 1. What is the value of the sample test statistic? (Test the difference p1 − p2. Do not use rounded values. Round your final answer to two decimal places.) 2. Find (or estimate) the P-value. (Round your answer to four decimal places.)dults aged 18 years old and older were randomly selected for a survey on obesity. Adults are considered obese if their body mass index (BMI) is at least 30. The researchers wanted to determine if the proportion of southern women who are obese is less than the proportion of southern men who are obese. The results are shown in the table below. Test at the 1% level of significance. Number who are obese Sample size Men 42,773 155,525 Women 67,176 248,775 a.State the distribution to use for the test. (Round your answers to five decimal places. b. What is the test statistic c. Conduct a Hypothesis TestA travel agency is interested in finding out if different age groups frequent different Spring Break destinations, in order to better target the appropriate audiences. A random sample of college Spring Break vacationers produces the results given in the table below. Is there enough evidence at the 0.025 level of significance to show that there is a relationship between age (by college classification) and destination? Observed Sample of College Students Beach Mountains City Home Total Freshman 28 17 20 22 87 Sophomore 24 14 15 3 56 Junior 24 15 17 15 71 Senior 10 12 3 12 37 Total 86 58 55 52 251 Step 3 of 4: Compute the value of the test statistic. Round your answer to three decimal places, if necessary. (Note: If calculating by hand, be sure to use at least six decimal places in numbers for all intermediate calculations to ensure accuracy of the result.) Step 4 of 4: Draw a conclusion and interpret the decision
- A company that manufacturers wooden products (e.g. garden furniture, ladders, benches) regularly maintains its lathe machines, which are used for cutting and shaping The manager would like to know whether the cost of machine maintenance is related to the age of the machines. For a random sample of 12 lathe machines in the company’s factory, the annual maintenance cost (in R100s) and age of each machine was recorded. Machine Age (years) Annual cost (Rand) 1 4 45 2 3 20 3 3 38 4 8 65 5 6 58 6 7 50 7 1 16 8 1 22 9 5 38 19 2 26 11 4 30 12 6 35 Identify the independent variable and the dependent Show the data graphically in a scatter plot. What relationship is observed? Calculate the correlation coefficient between the age of lathe machines and their annual maintenance costs. Comment on the strength of the Is the correlation statistically significant? Test at the 5%…An insurance company crashed four cars in succession at 5 miles per hour. The cost of repair for each of the four crashes was $421, $469, $416, $232 Compute the range, sample variance, and sample standard deviation cost of repair.A recent poll revealed the political affiliations of 237 Americans, along with the region of the country in which they reside. Democrat Independent Republican Northwest 14 12 20 Southeast 29 23 49 West 35 18 37 To test whether the region of residence and political affiliation were related, one of the pollsters computed a chi-square statistic, ?2=2.7245, with four degrees of freedom and set an alpha (?) level of 0.05. Determine the ?-value of the chi-square statistic in this test for independence and report it to at least three decimal places. You will need to use some kind of software (statistical package or calculator that does statistical computations) to get the ?-value that precisely. P =