Suppose there is a claim that a certain population has a mean, µ, that is different than 6. You want to test this claim. To do so, you collect a large random sample from the population and perform a hypothesis test at the 0.05 level of significance. To start this test, you write the null hypothesis H and the alternative hypothesis H, as follows. Ho: µ=6 H: µ±6 Suppose you also know the following information. The critical values are -1.960 and 1.960 (rounded to 3 decimal places). The value of the test statistic is 2.477 (rounded to 3 decimal places). (a) Complete the steps below to show the rejection region(s) and the value of the test statistic for this test. Normal Distribution Step 1: Select one-tailed or two-tailed. O One-tailed O Two-tailed Step 2: Enter the critical value(s). (Round to 3 decimal places.) 0.2+ Step 3: Enter the test statistic. (Round to 3 decimal places.) (b) Based on your answer to part (a), choose the correct statement. O The value of the test statistic lies in the rejection region. O The value of the test statistic doesn't lie in the rejection region. (c) Based on your answer to part (b), which statement below is true at the 0.05 level of significance? O The null hypothesis should be rejected. The null hypothesis should not be rejected. 00

Q: Only about 16% of all people can wiggle their ears. Is this percent higher for millionaires? Of the…

A:

Q: Having trouble. t=1.057 was marked incorrect; p = 0.1453 was marked incorrect   You wish to test…

A: The null and alternative hypothesis is, Ho:p1=p2   Ha:p1>p2 Let x1 be the number of successes…

Q: B. Find the value of the correlation coefficient. rs=___ Determine the critical​ value(s) of the…

A: Given data of number of cricket chirps in one minute and corresponding temperature in Fahrenheit as…

Q: Only about 16% of all people can wiggle their ears. Is this percent different for millionaires? Of…

A: From the provided information, Population proportion (p) = 0.16 Sample size (n) = 335 Out of which…

Q: Nate is conducting a one-sample z-test and sets the alpha to .10.  This means that: Group of answer…

A: Given: α=0.10

Q: Let mu be the population mean. In a test of H0:  mu = 3 against HA:  mu not equal to 3, the sample…

A:

Q: Suppose there is a claim that a certain population has a mean, p, that is 5 or less. You want to…

A: we have to do testing of hypothesis claim.

Q: 17% of all college students volunteer their time. Is the percentage of college students who are…

A:

Q: uppose that we have a problem for which the null and alternative hypothesis are given by: H0: μ =…

A: Given that  Null hypothesis H0: μ = 63.8 minutes. Alternative hypothesis H1: μ > 63.8 minutes.…

Q: Consider a two-factor factorial design with three levels in factor A, four levels in factor B, and…

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…

Q: 18% of all college students volunteer their time. Is the percentage of college students who are…

A: Given, 18% of all college students volunteer their time. Of the 300 randomly selected students who…

Q: r > ≠ =  ≠ =   (Please enter a decimal) The test statistic ? z t  =  (please show your answer to 3…

A: Let X be the number of millionaires who could wiggle their ears. Of the 380 millionaires surveyed,…

Q: Assume that you want to test the claim that the paired sample data come from a population for which…

A:

Q: Thomas is wanting to know if the amount of time students who got an A studied on their final last…

A: given dataclaim : μ±4 hr∴ H0 : μ= 4 hr     Ha  : μ ≠ 4 hr

Q: In a test of hypothesis, the null hypothesis is that the population variance is equal to 5.4 and the…

A: It is given that Population standard deviation = 5.4Sample standard deviation = 11.84Sample size =…

Q: You wish to test the following claim  at a significance level of α=0.05α=0.05.…

A: Given,H0:μ=85.7Ha:μ<85.7sample size(n)=5mean(x¯)=73.4standard deviation(s)=9.8and α=0.05

Q: A sample of n=24 is selected from a population = 120 and σ = 40.  If the sample mean is 130, what is…

A: It is given that the population mean, μ=120 and standard deviation, σ=40. For the sample size of 24,…

Q: We have an SRS of size ten from a Normal population with standard deviation ?=1σ=1 , and we will do…

A: Go to the Statistical Significance applet. This applet carries out tests at a fixed significance…

Q: You are given H0: μ = 40,   H1: μ ≠ 40, if the decision rule is: Reject H0 if t > 1.9925 or t <…

A:

Q: A sample of n = 10 scores has a mean of M = 3. What is ΣX for this sample?

A: Solution: From the given information, M=3 and n=10.

Q: You wish to test the following claim (Ha) at a significance level of a = 0.10. H.: H1 – 42 = 0 Ha:…

A: In statistical inference when two independent random samples, mean and sample standard deviation is…

Q: If, in a sample of n=30 selected from a normal​ population, X=58 and S=12​, what is your statistical…

A: Given : Sample Size (n) = 30 Sample Mean (X¯) = 58 Sample SD (S) = 12 Significance Level (α) = 0.05…

Q: You wish to test the following claim (H.) at a significance level of a = 0.10. T1 = In1:°H T1 > Irt…

A: Vgummnfh

Q: You are conducting a study to see if the typical doctor's salary (in thousands of dollars) is…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Determine the critical value(s). The critical value(s) is(are) O.

A: Given : n=25 , X-bar=60  , s=20 , μ0=50 , α=0.10 Our aim is to find the critical value

Q: We want to test whether the population variance of machine component mass meets the requirement of…

A: Claim: The population variance of machine component mass meets the requirement of 4 kg2.

Q: You believe both populations are normally distributed, but you do not know the standard deviations…

A: Given n1=20,x¯1=60.9,SD1=6.2 and n2=15,x¯2=76.9,SD2=18.6.

Q: On a certain hearing ability test, the mean is 300 and the standard deviation is 20. The better you…

A: The hypotheses for the test is given below. Null hypothesis: H0: µ =300 Alternative hypothesis: H1:…

Q: Suppose that we have a problem for which the null and alternative hypothesis are given by: H0: μ =…

A:

Q: You wish to test the following claim (Ha) at a significance level of a = 0.05. H.:Pi – P2 Ha:P1 – P2…

A: Given, H0:p1-p2=0Ha:p1-p2&gt;0 Level of significance = 0.05. x1=525n1=579x2=646n2=737

Q: e mterested IA studying whéther scent affects spatial reasoning abilities. You decide to test…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: Aurora is conducting a one-sample ?z test of the null hypothesis ?0:?=0.12H0:p=0.12 against the…

A:

Q: You wish to test the following claim (HaHa) at a significance level of α=0.001α=0.001.       Ho: μ…

A: Denote μ as the population mean.   Null hypothesis:   H0: μ = 57.2.   Alternative hypothesis:   Ha:…

Q: A sample of 34 observations is selected from a normal population. The sample mean is 45, and the…

A: we have given that  n=34 ,xbar=45 ,mu=46 ,sigma=5 and alpha =0.02

Q: You wish to test the following claim (Ha) at a significance level of a = 0.02. H.: µ1 Ha:µ1 – u2 > 0…

A: For the above question We have used two sample independent t test

Q: How would you solve this question?

A: The mean height of trees in the first field is smaller than the second field.Explanation:

2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.