The test statistic of z=−2.87 is obtained when testing the claim that p<0.31. a. Using a significance level of α=0.05, 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.)What is the P-Value and Test Statistic of this problem. The dean of a university estimates that the mean number of classroom hours per week for full-time faculty is 11.0. As a member of the student council, you want to test this claim. A random sample of the number of classroom hours for eight full-time faculty for one week is shown in the table below. At α=0.01, can you reject the dean's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 12.9 8.9 13.2 8.3 6.3 9.6 13.7 9.6
- The mean salary of federal government employees on the general schedule is $59,593. The average salary of 30 state employees who do the similar work is $ 58,800 with α =$1500. At the 0.01 level of significance, can it be concluded that state employees earn on average less than federal employees?a. Report and interpret the P-value for Fisher's exact test with (i) Ha: 0 > 1 and (ii) Hạ: 0 # 1. Explain how the P-values are calculated. b. Find and interpret the mid P-value for Ha: 0 > 1. Summarize advantages and disadvantages of this type of P-value. Table 3.14 Data for Exercise 3.18 on Therapy for Cancer of Larynx Cancer Controlled Cancer Not Controlled Surgery Radiation therapy 21 15 23A random sample of n1 = 14 winter days in Denver gave a sample mean pollution index x1 = 43. Previous studies show that ?1 = 21. For Englewood (a suburb of Denver), a random sample of n2 = 16 winter days gave a sample mean pollution index of x2 = 35. Previous studies show that ?2 = 17. Assume the pollution index is normally distributed in both Englewood and Denver. What is the value of the sample test statistic? Compute the corresponding z or t value as appropriate. (Test the difference ?1 − ?2. Round your answer to two decimal places.) (iii) Find (or estimate) the P-value. (Round your answer to four decimal places.) (b) Find a 99% confidence interval for ?1 − ?2. (Round your answers to two decimal places.)
- 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.D 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 4/9/2023
- a.State the hypotheses—use symbols b. What is the critical value of z? c. Calculate the test statistic.If 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 isMartin 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