We test the null hypothesis Ho:μ = 10 against the alternative Ha:μ<10 for a normal population with σ = 4. A random sample of 16 observations is drawn from the population, and we find the sample mean of these observations to be x̅ = 12. The P-value is?

Q: The test statistic of z = -2.13 is obtained when testing the claim that p< 0.43. a. Using a…

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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: 2. The critical value of t is 1.383, the value of the test statistic t = -1.383; therefore, we do…

A: Given information test statistic t = -1.383 critical value of t = 1.383

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A: Population mean , µ = 30 seconds. Sample mean , x̅ = 37.4 seconds. Sample size , n = 80. The…

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Q: ​By selecting a larger alpha level, a researcher is ______.      a.  ​attempting to make it…

A: Effects on increasing the larger value of Alpha 1. When we increase Alpha then we are trying to…

Q: The test statistic of z = - 2.46 is obtained when testing the claim that p<0.72. a. Using a…

A: From the provided information, The test statistic (z) = -2.46 Claim p &lt; 0.72

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A: A) Here need to compare Drug A, Drug B and Drug C are same or Drug A is best followed by Drug C and…

Q: Given that the null hypothesis to be tested is Hg: Hg = 0 at a = 0.05, and the test statistic is…

A: The test statistic is 1.04. The degrees of freedom is n-1 = 7-1 =6.

Q: If my test statistic is Z = 2, my alpha is .05 and I am doing a one sided test, what is my decision?…

A: Rejection rule using the critical value: It is given that the level of significance as 0.05. The…

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Q: The desired percentage of Sio,, in a certain type of aluminous cement is 5.5. To test whether the…

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

Q: Suppose we want to test the null hypothesis H0 : p1 - p2 = 0 against the alternative hypothesis H1 :…

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Q: A test of hypotheses H 0 μ = 15 versus H 1 μ ≠ 15 was performed. The p-value was 0.027. Fill in the…

A: Denote μ as the true population mean. The given test hypotheses are: Null hypothesis: H0:μ=15.…

Q: Suppose we are testing the null hypothesis H 0:  = 20 and the alternative H a:   20, for a Normal…

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Q: A hypothesis test produces a t statistic of t=2.01.If the researcher is using a two tailed test with…

A: →Given that,  test  statistic for two tailed t‐test       t=2.01     significance  level=0.05     we…

Q: In the tt-test of significance for the hypotheses H0​:μ=11 and Ha​:μ<11, the value of the test…

A: H0​: μ = 11 Ha​: μ &lt; 11

Q: a. For this study, we should use z-test for a population proportion b. The null and alternative…

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Q: A decade-old study found that the proportion of high school seniors who felt that "getting rich" was…

A: Given thatA decade-old study found that the proportion of high school seniors who felt that "Getting…

Q: A hypothesis test produces a t statistic of t = +2.19. If the researcher is conducting a two-tailed…

A: Given information- We have given two-tailed test statistics. The value of the t statistics = +2.19…

Q: For a hypothesis test, alpha = 0.05 %3! The computed P-Value = 0.011 Should HO be rejected?: O Fail…

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Q: A student conducts a hypothesis test at alpha = 0.10. If the P-value is 1.62, which of the following…

A: Decision rule:

Q: The worldwide market share for a web browser was 20.1% in a recent month. Suppose that a sample of…

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Q: Match the p-values with the appropriate conclusion: I. 0.00001 II. 0.0189 III.

A: We have given 4 different p values and 4 different conclusion and we have to match the p value and…

Q: If the results of the test with the following hypotheses are statistically significant, we have…

A: Hypotheses: h0: u1 = u2                      ha: u1&gt;u2    Given the result is statistically…

Q: The test statistic of z = - 1.62 is obtained when testing the claim that p = 4/7 a. Using a…

A: Value of test statistic = Z = - 1.62 Claim : p = 4/7

Q: A random sample of n= 25 is obtained from a population with variance o2, and the sample mean is…

A: Null Hypothesis: A hypothesis which is tested for plausible rejection is called the Null Hypothesis…

Q: 4. (a) It is desired to test the null hypothesis u = 40 against the alternative hypothesis u # 40 on…

A: Solution: Given information: μ0= 40  Population mean under Hoσ=4 Population standard deviation μa=…

Q: Suppose that we reject a null hypothesis at the 0.001 level of significance. The null hypothesis…

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Q: A hypothesis test is conducted with H0:μ=55H0:μ=55 and H1:μ<55H1:μ<55. A simple random sample of…

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Q: A researcher wants to test the null hypothesis H; p = 0.79 against the alternative H; p>0.79. A…

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

Q: Ha: µ > 50. Should Ho be rejected at 0.05 level of significance? Ha: µ < 50. Should Ho be rejected…

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Q: The test statistic of z=−2.60 is obtained when testing the claim that p<0.63. a. Using a…

A: Given,   Test statistic: z = -2.60   Claim: p&lt;0.63

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: If the hypothesis test results in a p-value of 0.08, would we be able to reject the null hypothesis…

A: Given,p-value =0.08α=0.05

Q: A sample of 9 measurements, randomly selected from a normally distributed population, resulted in…

A: From the provided information, Sample size (n) = 9 Sample mean (x̅) = 2.6 Sample standard deviation…

Q: I. Solve the following problems involving Test of Hypotheses using the Four-Step Solution. 1. The…

A: The four steps of hypothesis testing are as follows: 1.State the hypotheses. 2.Compute the test…

Q: Suppose we are testing the null hypothesis H0:μ  = 50 and the alternative Ha:μ ≠ 50 for a normal…

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Q: e. Based on this, we should O the null hypothesis. Select an answer f. Thus, the final conclusion is…

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Q: trials resulted in 18 successes. List the null and alternate hypothesis if you were to test the…

A: Consider "p" be the population proportion for which the hypothesis testing need to be conducted.…

Q: A hypothesis test is performed in which the research (alternative) hypothesis states that more than…

A: Decision rule :  Reject null hypothesis (H0) if p-value less than significance level α Otherwise…

Q: A test of the null hypothesis H0:μ =μ0  gives test statistic z= -0.33 what is the P-value if the…

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Q: Suppose we want to test the null hypothesis H0 : p1 - p2 = 0.12 against the alternative hypothesis…

A: State the hypotheses.     Obtain the value of the test statistic. The value of test statistic is…

Q: a. For this study, we should use t-test for a population mean b. The null and alternative hypotheses…

A: 57% of the students entering four-year college receive a degree within six years, it is claimed that…

Q: The test statistic of z=−1.83 is obtained when testing the claim that p<0.49. a. Using a…

A: Given : The test statistic of z=−1.83 is obtained when testing the claim that p&lt;0.49.

Q: 5. For a problem in which the observed value of t= 1.999 with 21 degrees of free- dom (two-tailed),…

A: Solution: 6. State the hypotheses. Null hypothesis: H0: The difference in the between the means is…

Q: Data from the 2014 General Social Survey (GSS) show that out of n=1,606 adult respondents, the…

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Q: In testing the hypotheses H 0 : p = 0.50 H0:p=0.50 versus H A : p ≠ 0.50 HA:p≠0.50 , a sample of 100…

A: It is a two tailed test.

Q: The test statistic of z= -2.66 is obtained when testing the claim that p <0.18. a. Using a…

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Q: n and the variance of a sample of size 16 from normal population are 32 and 8, respectively. For…

A: Hypothesis testing  Hypothesis testing is conducted for the parameters of the population like…