The test statistic of z=−2.60 is obtained when testing the claim that p<0.63. a. Using a significance level of α=0.01, find the critical value(s). b. Should we reject H0 or should we fail to reject H0?
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- Thomas is wanting to know if the amount of time students who got an A studied on their final last term is different than the typical 4 hours. To find out he surveys the students. His hypotheses are: H0:μ=4hr Ha:μ≠4hr He calcullates the average. His latest tesst statistic is 2.27, and his P-value is 0.0232. Using a significance level of α=5 Reject H0 μ is different than 4 hours. Accept Ha μ is not different than 4 hours. Fail to reject H0 μ is different than 4 hours. Accept Ha μ is different than 4 hours.The test statistic of z=2.29 is obtained when testing the claim that p≠0.418. a. Find the P-value. Using a significance level of α=0.10, should we reject H0 or should we fail to reject H0? a. P-value=____(Round to three decimal places as needed.)Only about 15% of all people can wiggle their ears. Is this percent different for millionaires? Of the 726 millionaires surveyed, 137 could wiggle their ears. What can be concluded at the 0.05 level of significance? H0: p = 0.15 Ha: p [ Select ] [">", "Not Equal To", "<"] 0.15 Test statistic: [ Select ] ["Z", "T"] p-Value = [ Select ] ["0.07", "0.007", "0.14", "0.004"] [ Select ] ["Fail To Reject Ho", "Reject Ho"] Conclusion: There is [ Select ] ["statistically significant", "insufficient"] evidence to make the conclusion that the population proportion of all millionaires who can wiggle their ears is not equal to 0.15. I NEED THE LAST THREE.
- You are conducting a significance test of H0: μ = 7.2 against Ha: μ < 7.2. After checking the conditions are met from a simple random sample of 25 observations, you obtain t = - 1.45. Based on this result, describe the p-value. Group of answer choices The p-value falls between 0.05 and 0.1. The p-value falls between 0.025 and 0.05. The p-value falls between 0.02 and 0.025. The p-value falls between 0.005 and 0.01. The p-value is less than 0.005.An automobile manufacturer claims that a particular model car averages 24 miles per gallon. A consumer group feels that the company is overestimating the mean miles per gallon and asks the Consumer Protection Agency to investigate. The CPA plans to take a random sample of 30 cars of this model, find the mean miles per gallon for these cars, and conduct a test to determine whether the mean is significantly less than 24 mpg. The hypotheses for the test are: H₀: µ=24 and Ha: µ < 24.State and describe the Type 1 and 2 errors.Martin has found a correlation of r = .18 between the two variables of caffeine consumption and frontal lobe activity. This correlation is more likely to be statistically significant if: 1. increased level of confidence 2. increased an alpha level 0f 0.01 instead of 0.05 3. measure of caffeine consumption is categorical instead of continuous 4. used larger number of participants
- When testing Ho:H=H,vs Ho:H1 2, the observed value of the z-score was found to be -2.15. Then, the p - value for this test would be: O A. 0.0316 B. 0.9684 O.0.0158 O D.0.9842D Listed below are the overhead widths (in cm) of seals measured from photographs and the weights of the seals (in kg). The purpose of the study was to determine if weights of seals could be determined from overhead photographs. Is there sufficient evidence to conclude that there is a correlation between overhead widths and the weights of the seals? Use a significance level of α=0.10. Overhead width (cm) Weight (kg) Click the icon to view the critical values of Spearman's rank correlation coefficient. Ho: Ps H₁: Ps Determine r Determine the null and alternative hypotheses. ▼ A₂ 7.6 141 Ts=(Round to three decimal places as needed.) 7.1 9.5 7.8 8.4 9.1 110 154 170 232 177 Determine the critical values. Critical values are DELL Next 11:25 AM 4/9/2023If the test of H0: = 19 against Ha: ≠ 19 based on an SRS of 15 observations from a Normal populationproduces the statistic of t = –1.75. The P-value is
- A population has a mean of µ = 20. A sample is selected from this population and a treatment is administered to each individual in the sample. The scores from this sample are summarized as follows: n = 16 ,X = 28 ,s2 = 64. Do the sample data support the conclusion that the treatment has a significant effect? Test with α = .05.13% of all Americans suffer from sleep apnea. A researcher suspects that a different percentage of those who live in the inner city have sleep apnea. Of the 341 people from the inner city surveyed, 41 of them suffered from sleep apnea. What can be concluded at the level of significance of α= 0.01?(please show your answer to 3 decimal places.) a. The test statistic = (please show your answer to 3 decimal places.) b.The p-value = (Please show your answer to 4 decimal places.)The nicotine content in cigarettes of a certain brand is normally distributed. The brand advertises that the mean nicotine content of their cigarettes is µ = 1.5, but measurements on a random sample of 100 cigarettes of this brand gave a mean of ?̅= 1.53 and s = 0.95. Is this evidence that the mean nicotine content is actually higher than advertised? 1. State the appropriate null and alternative hypotheses. H0: ? = 1.5 Ha: ? > 1.5 2. Should you use the z or t test? t – do not have sigma 3. Compute the test statistic to test your hypotheses. (report to 2 decimal places) ? = 1.53−1.5 0.95 √100 ⁄ = 0.32 4. Find the appropriate range of p-value for your test. P-value: a. Less than 0.005 b. Between 0.005 and 0.01 c. Between 0.01 and 0.025 d. Between 0.025 and 0.05 e. Greater than 0.05

