(Round to one decimal place as needed.) Find the P-value. P-value = (Round to three decimal places as needed.)
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- Historically, the proportion of students entering a university who finished in 4 years or less was 65%. To test whether this proportion has decreased, 150 students were examined and 58% had finished in 4 years or less. At the 5% level of significance, does it appear the proportion has decreased from its historical level? To determine whether the proportion of students who finish in 4 year or less has statistically significantly decreased, what is the null and alternative hypothesis?According to the Pew research center 65% of US adults believe that the government should play a larger role in addressing climate change. A random sample (SRS) of 80 US adults found that 56 US adults believe that the government should play a larger role in addressing climate change. Does this indicate that population proportion of US adults who believe that the government should play a larger role in addressing climate change is MORE THAN 65%? Given: a= 0.05 level 1. List your oH and aH: (symbols and words) 2. State and Check the conditions for the test: 3. Use the information in question: Identify the hypotheses being tested: Find your SE and test statistic by hand: 4. Use the information in question: State your conclusion given 05.0 level, in a complete sentence, in the context of the problem. 5. Use the information in question. Find the 95% confidence interval by hand using: Given z*=1.965. A researcher conducts a study to test the hypothesis that meditation reduces anxiety. She recruits participants from a population with mean anxiety scores of µ = 70. After practicing meditation, the participants have a mean anxiety score of M = 60. She conducts a one sample t-test, with alpha = 0.01, one-tailed, and determines that there was a significant increase in anxiety scores. Which of the following t-stats did she most likely compute? Group of answer choices -1 3 Any of these values are possible 1
- An airport official wants to prove that the proportion of delayed flights for Airline A (denoted as p1) is less than the proportion of delayed flights for Airline B (denoted as p2). Random samples for both airlines after a storm showed that 51 out of 200 flights for Airline A were delayed, while 60 out of 200 of Airline B's flights were delayed. The test statistic for this problem is -1.00. The p-value for the test statistic for this problem is: p = 0.0228 p = 0.0668 p = 0.3413 p = 0.1587A new screening test for Lyme disease is developed for use in the general population. The sensitivity and specificity of the new test are 60% and 70%, respectively. Five hundred people are screened at a clinic during the first year the new test is implemented. Assume the true prevalence of Lyme disease among clinic attendees is 10%. Calculate the predictive value of a positive test.Average IQ scores for young school children are known to be 100 (SD = 15). However, the literature indicates that children’s intelligence may be decreased if their mothers have German measles during pregnancy. Using hospital records, a researcher obtained a sample of n = 25 school children whose mothers all had German measles during their pregnancies. Do the data indicate that children born to mothers who had German measles during the pregnancy have significantly lower IQ scores than typical young school children? DATA (Fictional) child IQ scr 1 91 2 111 3 97 4 95 5 96 6 95 7 95 8 96 9 94 10 93 11 95 12 92 13 96 14 91 15 97 16 93 17 92 18 99 19 93 20 97 21 85 22 94 23 96 24 95 25 96 Looking at the research scenario for this lab, you will see that it says, “ literature indicates that children’s intelligence may…
- The World Bank Group suggests that a minimum of 6 GB of internet data per month per user is needed for online activities to ensure better life quality (accessing news, health and educational information, social media, and other online activities). Considering the costs and poor internet connectivity, a researcher wanted to estimate the mean monthly data consumption of students in rural areas. She calculated a mean of 3.4 GB of monthly data from a random sample of 25 students. • Sub ● daia (GB) are normally disipe eviation of Complete the statement: If we consider all possible samples of the same size and a 95% confidence interval is obtained from each sample, ther ✓ [Select] Neither A nor B A. 95% of these intervals would contain 3.4 GB. Both A and B B. 5% of these intervals would not contain the true mean monthly data of studentsThe World Bank Group suggests that a minimum of 6 GB of internet data per month per user is needed for online activities to ensure better life quality (accessing news, health and educational information, social media, and other online activities). Considering the costs and poor internet connectivity, a researcher wanted to estimate the mean monthly data consumption of students in rural areas. She calculated a mean of 3.4 GB of monthly data from a random sample of 25 students. • Sub ● daia (GB) are normally disipe eviation of Complete the statement: If we consider all possible samples of the same size and a 95% confidence interval is obtained from each sample, ther ✓ [Select] Neither A nor B A. 95% of these intervals would contain 3.4 GB. Both A and B B. 5% of these intervals would not contain the true mean monthly data of studentsAn article indicated that the biggest issue facing e-retailers is the ability to turn browsers into buyers. The article stated that less than 10% of browsers buy something from a particular website. A SRS of 2000 browsers was taken of which 180 made a purchase. Let alpha = .10.
- Independent studies show that 26 out of 40 r/s full-time students favor a shorter semester system, while 38 out of 50 r/s part-time students favor the same. Construct a 98% c.i. for the difference between the overall percentage of full-time students favoring a shorter semester system and that of part-time students.A researcher investigates whether cold medication effects mental alertness. It is known that scores on a standardized test containing a variety of problem-solving tasks are normally distributed with = 64 and = 8. A random sample of n = 16 teenage and a sample of n = 25 adults are given the drug and then tested. On average, the teenagers scored and average of ? = 58 and the adults scored and average of M = 65.5.a. Are the data sufficient to conclude that the medication significantly reduces mental alertness in teenagers? Test with = .01.b. Are the data sufficient to conclude that the medication significantly increases mental alertness in adults? Test with = .01.A demographer wants to know what proportion of women in different countries dye their hair. They take a random sample of women from Korea and another random sample of women from China. In Korea, 47% dyed their hair. In China, 56% dyed their hair. (a) What hypotheses would the demographer use to test if women in China are more likely to dye their hair than women in Korea? H0: pChina=pKorea vs. Ha: pChina ≠ pKoreaH0: pChina - pKorea = 0 vs. Ha: pChina - pKorea > 0 H0: μChina-μKorea = 0 vs. Ha: μChina-μKorea ≠ 0H0: pChina-pKorea = 0.09 vs. Ha: pChina-pKorea ≠ 0.09H0: μChina = 0.56 vs. Ha: μKorea = 0.47 (b) Suppose their test yielded a p-value of 0.079. What does this mean in the context of the test? We are 7.9% confident that the results of our test are correct.If the women of two countries have the same rates of coloring their hair, the probability of getting a difference at least this large is 0.079. If we take another sample, the probability of getting the same p̂China and…