Determine​ (a) the χ2 test​ statistic, (b) the degrees of​ freedom, (c) the critical value using α=0.05​, and​ (d) test the hypothesis at the α=0.05 level of significance.   Outcome A B C D   Observed 86 106 112 96   Expected 100 100 100 100     H0​: pA=pB=pC=pD=14 H1​: At least one of the proportions is different from the others.

Q: The test statistic of z= -1.62 is obtained when testing the claim that p = 3/5. a. Using a…

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Q: The test statistic of z= -2.66 is obtained when testing the claim that p < 0.32. a. Using a…

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Q: Test the claim about the population mean, μ, at the given level of significance using the given…

A: We have given that. Population mean (µ) = 30Standard deviations (σ) = 3.13Sample size (n) = 75Sample…

Q: Determine (a) the x2 test statistic, (b) the degrees of freedom, (c) the critical value using a =…

A: The chi-square (x^2) test statistic is calculated using the formula:χ2=∑i=1n((Oi-Ei)2Ei)where Oi is…

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A: Given Information :  15% of all college students volunteer their time Of the 315 randomly selected…

Q: Use a t-test to test the claim about the population mean μ at the given level of significance x…

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Q: Consider the following hypotheses and the sample data in the accompanying table. Answer the…

A: 7,10,9,8,6,6,10,9,13,6,6,10,11,8,11sample size(n)=15significance level()=0.02The null and…

Q: Suppose a test is to be performed of H₁: = 39 versus H₁:39 at the α = 0.05 significance level. A…

A: Given information Hypothesized mean µ = 39 Sample size (n) = 23 Mean x̅ = 41.1 Standard deviation…

Q: Previously, 6​% of mothers smoked more than 21 cigarettes during their pregnancy. An obstetrician…

A: The null hypothesis is a statement about the population parameter which indicates no effect, and the…

Q: Suppose that we are testing Ho: u = 4 vs Ha:u > 4. A p-value of 0.023 was determined. Which of the…

A: Decision Rule: If p-value ≤ α, then reject the null hypothesis.   Conclusion: Let the level of…

Q: t = 3.2. What conclusion is appropriate at each of the fol- lowing significance levels?

A: here given  sample size  = n = 15 test statistic  = t  = 3.2 and here it is right tail test

Q: (c) Find the standardized test statistic z for μ₁-₂. z = (Round to two decimal places as needed.)…

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Q: Only 18% of registered voters voted in the last election. Will voter participation decline for the…

A: Hypothesis to be tested: H0:p=0.18H1:p≠0.18 Sample proportion: p^=xn=50354=0.141

Q: use the table provided in attachments. to test H0: u=100 versus h1 u not equal to 100, a simple…

A: From the provided information, Sample size (n) = 19 Sample mean (x̄) = 104.2 Standard deviation (s)…

Q: For this study, we should use Select an answer z-test for a population proportion t-test for a…

A: 1. The percentage of college student who are volunteer their time is 15%. A sample of 394 students…

Q: An electrical engineer wishes to determine if, among two specific municipal buildings in town,…

A: Comparing two population means :  The comparison of two independent population means is very common…

Q: Use the given statistics to complete parts (a) and (b). Assume that the populations are normally…

A: Followings are the Explanation of the question Use the Two sample independent t test Given that,…

Q: Given the null and alternative hypotheses, sample means, sample sizes, and population standard…

A: There are two independent populations which follows normal distribution.We have to test whether the…

Q: The test statistic of z = - 2.71 is obtained when testing the claim that p = 1/2. Using a…

A: Finding the critical value(s) using a significance level of α = 0.05:When testing a claim about a…

Q: e. Find the 95% confidence interval for p for both researchers. Explain how this method shows that,…

A: Given that: The null and alternative hypotheses are: H0:p=0.50Ha:p≠0.50 Sample sizes are: n1=n2=400…

Q: All the possible samples of n=4 scores are selected from a population with u = 20. If the average…

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Q: t-test would you conduct in this scenario? Conduct a hypothesis test to evaluate the significance of…

A: Given, sample size(n) = 16 population mean  µ = 30 sample mean (M) = 33 sample variance ,s2 = 64

Q: Random samples of size n₁ = 60 and n₂ = 70 were drawn from populations 1 and 2, respectively. The…

A: The provided information is as follows:The random sample size of population 1 is .The random sample…

Q: Source SS df MS F Treatment 10301 Error 24000

A: Given data: In a particular completely randomized design, Number of experimental units, x = 6.…

Q: Consider the hypothesis test Ho : H1 = H2 against H1:4, # H2. Suppose that sample sizes are n¡ = 15…

A: Given: The samples means are: x1=4.8 and x2=7.7 The sample variance are:s21=4 and s22=6.22 The level…

Q: The heat capacities of the coals from two different mines are given below. Compare whether there is…

A: The heat capacities of the coals from two different mines are given above. Compare whether there is…

Q: ​If, in a sample of n=25 selected from a normal​ population, X=59 and S=10​,what is your statistical…

A: From the provided information, Sample size (n) = 25 Sample mean (x̄) = 59 Sample standard deviation…

Q: You want to test the distribtuon  of a given random data  .You have  100 data points  and you want…

A: Solution : given : data divided into 10 bins. df = C - 1 df = 10 - 1 df = 9  α = 0.01

Q: The test statistic of z= -1.61 is obtained when testing the claim that p=1/2. a. Using a…

A: We have given that z = -1.61 claim that p = 1/2 This is two tailed test

Q: The one-sample t-statistic for a test of Họ: µ = 0 versus H1:µ # 0 based on n = 15 observations has…

A: State the hypotheses Obtain the degrees of freedom.   The degrees of freedom is obtained below as…

Q: 6. We test if the population mean body temperature of AUM is less than 97° F. We collected a sample…

A: The value of z at 95% confidence level is 1.96, which can be found by using the standard normal…

Q: 6. Find p-value for testing Ho: ß1 0 and Ha: B1 + 0. Test hypothesis at a = .1,.05, and .01 7. Find…

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Q: if the hypothesis Ho: H=5 Versus Hai H#5 at significant level Alpha 10% then the critical values of…

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Q: Now suppose that n = 16, the observed sample mean x is 8.9. the observed sample variance s- is 25…

A: We have given that,  Sample mean (x̄) = 8.9, sample variance (s^2)= 25 and sample size (n) = 16 and…

Q: To test HO:u=100 versus H1 not equal to 100, a simple random sample of n=21 is obtained from a…

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Q: Test the claim about the difference between two population means ₁ and 2 at the level of…

A: Given : X1=17, X2=15 (sample means)  Standard deviations are 3.4 and 1.4 Sample sizes are 28 and 29…

Q: In an experiment, n = 35 are assigned to the control group, and n = 41 are assigned to the…

A: Given,n1=35n2=41α=0.05

Q: The test statistic of z= -3.05 is obtained when testing the claim that p= 1/2. Using a significance…

A: We have given that  test statistic ( z )= -3.05 and  testing the claim that p= 1/2.  (Two tailed…

Q: The test statistic of z= -1.92 is obtained when testing the claim that p<0.54. a. Using a…

A: GivenTest statistic(z)=-1.92claim is that p&lt;0.54

Q: Test the claim about the difference between two population means μ₁ and μ₂ at the level of…

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Q: Each person in a random sample of 400 residents in a major town was asked whether they had ever been…

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Q: 20% of all college students volunteer their time. Is the percentage of college students who are…

A: Given, P^ = 70/306 = 0.2288  p = 0.20, n = 306 α = 0.10 level of significance