In testing the hypotheses Ho: µ= 75 and Ha: µ<75, if the value of the test %3D statistic z = -2.42, then the P-value is: O 0.0078 0.9922 ) 0.0578 O 0.42
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- I randomly sample 219 students and ask them to provide their USF GPA. I wish to determine if the average GPA of all USF students ex mu + 3.25 ceeds 3.25. Unfortunately, I generated the printout shown here: One-Sample T Test Null Hypothesis: H - 3.25 Alternative Hyp: u- 3.25 Variable Mean SE DF GPA 3.3121 0.0340 1.82 218 0.0694 Cases Included 219 What assumption is needed for this analysis to be valid? None. The Central Limit Theorem applies and no other assumptions are needed. The GPAS of all USF students need to be approximately normally distributed The mean GPA of all USF students need to be approximately normally distributedSuppose that you plot the residuals for your sample and get Figure 2. You should conclude that Select one: a. possibly homoskedastic and you would perform a correction for homoskedasticity. b. likely homoskedastic. c. possibly heteroskedastic and you would perform a formal test for heteroskedasticity. d. definitely heteroskedastic.Each observation in a random sample of 98 bicycle accidents resulting in death was classified according to the day of the week on which the accident occurred. Data consistent with information are given in the following table. x² Day of Week Frequency = Sunday Monday Tuesday Wednesday Thursday Friday Saturday 13 12 12 14 13 18 Based on these data, is it reasonable to conclude that the proportion of accidents is not the same for all days of the week? Use a = 0.05. Calculate the test statistic. (Round your answer to two decimal places.) 16 Use technology to calculate the P-value. (Round your answer to four decimal places.) P-value = State the conclusion in the problem context. O Reject Ho. We have convincing evidence that the proportion of accidents is not the same for all days of the week. O Fail to reject Ho. We have convincing evidence that the proportion of accidents is not the same for all days of the week. ● Fail to reject Ho. We do not have convincing evidence that the proportion…
- A random sample of size 25 from a normal population has a mean of x-bar = 62.8 and s = 3.55. If you were to test the following hypothesis at the .05 level of significance. The value of the test statistic is Họ: H = 60 %3D Họ: H+60 O-3.94 O 0.79 -0.79 O 3.94 O 2.8Find the 99% confidence interval given the ff:z=2.575 n=100 x=150 o=4Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 33 of the 38 subjects treated with echinacea developed rhinovirus infections. In a placebo group, 94 of the 111 subjects developed rhinovirus infections. Use a 0.01 significance level to test the claim that echinacea has an effect on rhinovirus infections. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of subjects treated with echinacea and the second sample to be the sample of subjects treated with a placebo. What are the null and alternative hypotheses for the hypothesis test? O A. Ho: P1 #P2 Hy:P1 =P2 O B. Ho: P1 =P2 H1: P1 P2 H1: P1 #P2 Identify the test statistic. (Round to two decimal places as needed.) Identify the P-value. P-value = (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? the null hypothesis. There sufficient evidence to support the claim that echinacea…
- Thirteen different video games showing drug use were observed. The duration times of drug use (in seconds) were recorded. When using this sample for a t test of the claim that the population mean is greater than 78 sec, what does df denote, and what is its value?A report states the average temperature for the month of June on a specific tropical island is 98 degrees F. A meteorologist claims the report is not correct.. Data collected from 35 areas on the island showed an average temperature of 94 degrees F. Thepopulation standarddeviation is known to be 6.0 degrees F. At alpha = 0.05, can the report's average be rejected? For multiple choice question #1, tell what type of test: right-tailed, left-tailed, or two-tailed.The types of raw materials used to construct stone tools found at an archaeological site are shown below. A random sample of 1486 stone tools were obtained from a current excavation site. Raw Material Regional Percent of Stone Tools Observed Number of Tools as Current excavation Site Basalt 61.3% 893 Obsidian 10.6% 165 Welded Tuff 11.4% 179 Pedernal chert 13.1% 198 Other 3.6% 51 (A) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.)
- Thirty different video games showing drug use were observed. The duration times of drug use (in seconds) were recorded. When using this sample for a t test of the claim that the population mean is greater than 92 sec, what does df denote, and what is its value? what's the value of df?Suppose that having a widow's peak was a dominant trait (W) compared to not having a widow's peak (w). In a sample size of 30 students, 15 were observed to have a widow's peak and 15 did not have a widow's peak. The expected frequency of a widow's peak is 75% chance of getting it and a 25% chance of not getting it. Perform a chi square analysis to see if the data above agrees with the predicted outcome.The recidivism rate for convicted sex offenders is 12%. A warden suspects that this percent is different if the sex offender is also a drug addict. Of the 322 convicted sex offenders who were also drug addicts, 48 of them became repeat offenders. What can be concluded at the a = 0.01 level of significance? a. For this study, we should use z-test for a population proportion V b. The null and alternative hypotheses would be: Ho: ? v Select an answer (please enter a decimal) H1: ? v Select an answer v (Please enter a decimal) c. The test statistic ? v = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? V a f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the population proportion is not significantly different from 12% at a = 0.01, so there is statistically insignificant evidence to conclude that the population proportion of…
