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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Q: The test statistic of z=−2.31 is obtained when testing the claim that p=1/2. a. Using a…
A: Given, test statistic of z=−2.31 p=1/2 = 0.5
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- 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 9.6Unfortunately, arsenic occurs naturally in some ground water.t A mean arsenic level of u = 8.0 parts per billion (ppb) is considered safe for agricultural use. A well in Texas is used to water cotton crops. This well is tested on a regular basis for arsenic. A random sample of 36 tests gave a sample mean of x = 6.7 ppb arsenic, with s = 3.0 ppb. Does this information indicate that the mean level of arsenic in this well is less than 8 ppb? Use a = 0.01. n USE SALT (a) What is the level of significance? State the null and alternate hypotheses. O Ho: H = 8 ppb; H,: u > 8 ppb O Ho: H = 8 ppb; H,: H + 8 ppb O Ho: H 8 ppb; H,: u = 8 ppb O Ho: H = 8 ppb; H,: µ 0.100 O 0.050 < P-value < 0.100 O 0.010 < P-value < 0.050 O 0.005 < P-value < 0.010 P-value < 0.005 Sketch the sampling distribution and show the area corresponding to the P-value. MacBook Pro esc
- A medical researcher is interested in determining if there is a relationship between adults over 50 who exercise regularly and levels of blood pressure. A random sample of 236 adults over 50 is selected and the results are given below. Calculate the test statistic to test the claim that regular exercise and blood pressure are independent. Use α = 0.01.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.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.The mean for the number of pets owned per household was 2.1. A poll of 1023 householdsconducted this year reported the mean for the number of pets owned per household to be 2.Assuming σ = 1.1, is there sufficient evidence to support the claim that the mean number ofpets owned has changed since at the α = 0.05 level of significance? Use the p-value approach and clearly specify each step.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.0.9842
- . Differences of electric potential occur naturally from point to point on a body’s skin. Researchers used newts to determine if changing the electric field reduces the mean healing rate for all newts. The researchers found in a sample of 14 newts the following data results: ?̅= −5.714 with sd = 10.564. Conduct a paired t-test at α = .01 to determine if there is sufficient evidence to conclude that changing the electric field reduces the mean healing rate for all newts.Suppose you will perform a test to determine whether there is sufficient evidence to support a claim of a linear correlation between two variables. Find the critical values of r given the number of pairs of data n and the significance level α. n = 19, α = 0.05 Group of answer choices r = ±0.575 r = 0.468 r = 0.456 r = ±0.456Recall the data for the three populations. p1 = 0.576 n1 = 250 p2 = 0.48 n2 = 300 p3 = 0.45 n3 = 200 Find the critical value for the pairwise difference between populations i = 1 and j = 3, CV13, rounding the result to four decimal places. CVij = ??2 pi(1 − pi) ni + pj(1 − pj) nj CV13 = ?20.05 p1(1 − p1) n1 + p3(1 − p3) n3 = 5.991 0.576(1 − 0.576) 250 + 0.45(1 − 0.45) = Find the critical value for the pairwise difference between populations i = 2 and j = 3, CV23, rounding the result to four decimal places. CVij = ??2 pi(1 − pi) ni + pj(1 − pj) nj CV23 = ?20.05 p2(1 − p2) n2 + p3(1 − p3) n3 = 5.991 0.48(1 − 0.48) 300 + 0.45(1 − 0.45) =

