EBK AN INTRODUCTION TO MATHEMATICAL STA
6th Edition
ISBN: 9780134114248
Author: Marx
Publisher: YUZU
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Chapter 6.2, Problem 8Q
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The P-value for a hypothesis test is 0.06. For each of the fol-lowing significance levels, decide whether the null hypothesis should be rejected. a. α = 0.05b. α = 0.10 c. α = 0.06
(a) Find the P - value for the test statistic z=1.36 for the following null and alternative hypotheses:
For which of the given P-values would the null hypothesis be rejected when performing a level 0.05 test?
0.001
0.021
0.078
0.047
0.148
Chapter 6 Solutions
EBK AN INTRODUCTION TO MATHEMATICAL STA
Ch. 6.2 - State the decision rule that would be used to test...Ch. 6.2 - An herbalist is experimenting with juices...Ch. 6.2 - (a) Suppose H0:=0 is rejected in favor of H1:0 at...Ch. 6.2 - Company records show that drivers get an average...Ch. 6.2 - If H0:=0 is rejected in favor of H1:0, will it...Ch. 6.2 - A random sample of size 16 is drawn from a normal...Ch. 6.2 - Recall the breath analyzers described in Example...Ch. 6.2 - Calculate the P-values for the hypothesis tests...Ch. 6.2 - Suppose H0:=120 is tested against H1:120. If =10...Ch. 6.2 - As a class research project, Rosaura wants to see...
Ch. 6.2 - As input for a new inflation model, economists...Ch. 6.3 - Commercial fishermen working certain parts of the...Ch. 6.3 - Efforts to find a genetic explanation for why...Ch. 6.3 - Defeated in his most recent attempt to win a...Ch. 6.3 - Suppose H0:p=0.45 is to be tested against H1:p0.45...Ch. 6.3 - Recall the median test described in Example 5.3.2....Ch. 6.3 - Among the early attempts to revisit the death...Ch. 6.3 - What levels are possible with a decision rule of...Ch. 6.3 - Suppose H0:p=0.75 is to be tested against H1:p0.75...Ch. 6.4 - Recall the Math for the Twenty-First Century...Ch. 6.4 - Carry out the details to verify the decision rule...Ch. 6.4 - For the decision rule found in Question 6.2.2 to...Ch. 6.4 - Construct a power curve for the =0.05 test of...Ch. 6.4 - If H0:=240 is tested against H1:240 at the =0.01...Ch. 6.4 - Suppose n=36 observations are taken from a normal...Ch. 6.4 - If H0:=200 is to be tested against H1:200 at the...Ch. 6.4 - Will n=45 be a sufficiently large sample to test...Ch. 6.4 - If H0:=30 is tested against H1:30 using n=16...Ch. 6.4 - Suppose a sample of size 1 is taken from the pdf...Ch. 6.4 - Polygraphs used in criminal investigations...Ch. 6.4 - Prob. 12QCh. 6.4 - Prob. 13QCh. 6.4 - A sample of size 1 is taken from the pdf...Ch. 6.4 - Prob. 15QCh. 6.4 - Prob. 16QCh. 6.4 - Prob. 17QCh. 6.4 - Prob. 18QCh. 6.4 - Prob. 19QCh. 6.4 - Suppose that one observation from the exponential...Ch. 6.4 - Prob. 21QCh. 6.4 - Prob. 22QCh. 6.4 - Prob. 23QCh. 6.4 - Given the pdf fY(y;)=2y2,0y. Take a sample of size...Ch. 6.5 - Let k1,k2,...,kn be a random sample from the...Ch. 6.5 - Let y1,y2,...,y10 be a random sample from an...Ch. 6.5 - Let y1,y2,...,yn be a random sample from a normal...Ch. 6.5 - Let k denote the number of successes observed in a...Ch. 6.5 - Suppose a sufficient statistic exists for the...
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- a researcher uses a sample of n=25 individuals to evaluate the effect of a treatment. the hypothesis test uses a=0.05 and produces a significant result with t=2.15. how would this result be reported in the literature?arrow_forwardThe following display from a TI-84 Plus calculator presents the results of a hypothesis test for a population mean μ.u<52 t=-4.479421 p=0.000020 x=51.87 Sx=0.21523 n=55Do you reject H0 at the a=0.10 level of significance? Question 5 options: No Yesarrow_forwardWhich of the following statements most adequately summarizes the conclusion statement resulting from a p-value of 0.04 ? Group of answer choices We reject the null hypothesis at the alpha level of 0.05. But we cannot differentiate between the null hypothesis is truly wrong and we are making a type I error We reject the null hypothesis at the alpha level of 0.05. But we cannot differentiate between the null hypothesis is truly wrong and we are making a type II error We fail to reject the null hypothesis at the alpha level of 0.05 We can conclude that the null hypothesis is truly wrongarrow_forward
- If the hypothesis test results in a p-value of 0.006 would we be able to reject the null hypothesis using an alpha of 0.05? Question 4 options: yes no need more information to decidearrow_forwardWhich of the following statements is true if when using null hypothesis testing, our p value (in the "sig" column of SPSS output) is 0.051? Reject the null hypothesis Fail to reject the null hypothesis Reject the alternative hypothesis Fail to reject the alternative hypothesisarrow_forwardWhich pair of the hypotheses would be correct for the following claim: Claim: The percentage of cars sold with manual transmission is 2018 (group 1) is lower than the percentage of cars sold with manual transmission in 2010 (group 2) A. H0 :p1 −p2 =0andH1 :p1 −p2 <0 B. H0 :p1 −p2 <0andH1 :p1 −p2 =0 C. H0 :p1 −p2 =0andH1 :p1 −p2 ̸=0 D. H0 :p1 −p2 ̸=0andH1 :p1 −p2 =0 E. H0 :p1 −p2 =0andH1 :p1 −p2 >0 F. H0 :p1 −p2 >0andH1 :p1 −p2 =0arrow_forward
- Which of the following statements is true if when using null hypothesis testing, our p value (in the "sig" column of SPSS output) is 0.069? a) Reject the null hypothesis b) Fail to reject the null hypothesis c) Reject the alternative hypothesis d) Fail to reject the alternative hypothesisarrow_forwardThe test statistic of z=2.42 is obtained when testing the claim that p>0.1. a- identify the hypothesis test as being two-tailed, left-tailed or right tailed b- Find the P value c- Using a significance level of a=0.05, should we reject Ho or should we fail to reject Ho?arrow_forwardIn doing a hypothesis test of the population proportion at α=0.02 level of significance, we got the p-value to be 0.006. What would our conclusion to the test be? Why? A. Do NOT Reject H0 since the p-value > α B. Reject H1 since the p-value < α C. Reject H0 since the p-value < α D. Do NOT Reject H0 since the p-value < αarrow_forward
- A student conducts a hypothesis test at alpha = 0.10. If the P-value is 1.62, which of the following statements is true? A. The student should reject the null hypothesis. B. The student should not reject the null hypothesis. C. The student made a mistake in calculating the P-value.arrow_forwardQuestion 16 The p-value for a hypothesis test turns out to be 0.08969. At a 9% level of significance, what is the proper decision? Reject H0H0 Fail to reject H0arrow_forward1/12 Determine the P value for the hypothesis test. Round to three decimal places as needed. Should we reject or do not reject the hypothesis?arrow_forward
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