Determine the critical value, Zo, to test the claim about the population proportion p 0.325 given n= 42 and p=0.247. Use a = 0.05. O A. ±2.33 B. +1.96 O C. +1.645 O D. +2.575
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- A real estate agent suggests that the median rent for one-bedroom apartment in a community is $325 per week. A sample of 12 one-bedroom homes shows the following weekly rents. At α =0.05, is there enough evidence to reject the agent's claim? $420 $460 $514 $405 $320 $435 $350 $531 $450 $560 $309 $325 A. Determine the critical value.Do one of the following, as appropriate: (a) Find the critical value Za/2, (b) find the critical value t₁/2, (c) state that neither the normal nor the t distribution applies. 90%; n = 10; o is unknown; population appears to be normally distributed za/2=1.383 ta/2=1.812 za/2=2.262 ta/2=1.833The diameter of a metal shaft used in a disk-drive unit is normally distributed with mean 0.2508 in. and std. dev. 0.0005 in. The specification on the shaft have been established as (0.25-0.0015 in, 0.25+0.0015in) If the process mean has been adjusted to 0.25 in, what fraction of the shafts produced does NOT conform to specifications? a). 0.0027 b). 0.0013 c).0.08 d). 0.16
- Arandom sample of 450 observations produced a sample proportion equal to 0.38. Find the critical and observed values of z for the following test of hypotheses using alpha = 0.025 . H 0 :p=0.30 versus H 1 :p not equal to 0.30A sample is counted for 10 minutes and results in 530 gross counts. A 30-minute background count results in 1,500 counts. The detector efficiency is 0.10 cpm/dpm. What is the critical level (net count rate) that corresponds to a risk of making a Type I error, where α is 0.05? a. 3.0 cpm b. 4.2 cpm c. 50 cpm d. 53 cpmIn a random sample of size 150, there were 90 individuals in the category of interest. Answer the following questions. (a) Find the point estimate. (b) If ?1H1: ?>0.5p>0.5 at ?=0.01α=0.01, find the critical value.
- Suppose the proportion X of surface area in a randomly selected quadrat that is covered by a certain plant has a standard beta distribution with ? = 4 and ? = 2. (a) Compute E(X) and V(X). (Round your answers to four decimal places.) E(X) = V(X) = (b) Compute P(X ≤ 0.3). (Round your answer to four decimal places.)(c) Compute P(0.3 ≤ X ≤ 0.7). (Round your answer to four decimal places.)The tests of assumptions for yield gave values for Levene’s statistic and Shapiro-Wilk’s as 0.0562 and .00271, respectively. At a=0.05 , which statistical test is most appropriate to compare the yield among the nitrogen rates? a. Cochran’s Q B. Friedman’s C. Kruskal Wallis test . D. Anova F-testA law enforcement organization claims that their radargun is accurate to within 0.5 miles per hour for a courthearing. An independent organization hired to test theaccuracy of the radar gun conducted 12 tests on a projectilemoving at 60 miles per hour. Given the data inthe following table, determine if the radar gun can beused in court. State the hypothesis and base your commentson an appropriate α level.
- Choose the letter of the correct answer. 1. In one tailed test, in which critical values below will the computed z of 2.312 falls in the non rejection region? A. 1.383 B. 1.533 C. 2.228 D. 2.354L12Q5.At 10% level of significance, the critical value(s) of z to test H0: μ1= μ2; against Ha: μ1 ≠ μ2 is/areState the t critical value that would be used for a 99% interval based on a sample size of 37.