(a) For the same data and null hypothesis, is the P-value of a one-tailed test (right or left) larger or smaller than that of a two-tailed test? pick one
The P-value for a one-tailed test is smaller because the two-tailed test includes the area in both tails.
The P-value for a one-tailed test is larger because the two-tailed test includes the area in only one tail.
The P-value for a one-tailed test is larger because the two-tailed test includes the area in both tails.
The P-value for a one-tailed test is smaller because the two-tailed test includes the area in only one tail.
(b) For the same data, null hypothesis, and level of significance, is it possible that a one-tailed test results in the conclusion to reject H0 while a two-tailed test results in the conclusion to fail to reject H0? Explain your answer.
Yes. When the P-value for a one-tailed test is smaller than α, the P-value for a two-tailed test will also be smaller than α.
Yes. The P-value for a one-tailed test might be smaller than α, while the P-value for a two-tailed test could be larger than α.
No. When the P-value for a one-tailed test is smaller than α, the P-value for a two-tailed test will also be smaller than α.
No. The P-value for a one-tailed test might be smaller than α, while the P-value for a two-tailed test could be larger than α.
(c) For the same data, null hypothesis, and level of significance,
if the conclusion is to reject H0 based on a
two-tailed test, do you also reject H0 based on
a one-tailed test? Explain your answer.
No. If the two-tailed P-value is smaller than α, the one-tailed area will be larger than α.
Yes. If the two-tailed P-value is smaller than α, the one-tailed area is also smaller than α.
Yes. If the two-tailed P-value is smaller than α, the one-tailed area will be larger than α.
No. If the two-tailed P-value is smaller than α, the one-tailed area is also smaller than α.
(d) If a report states that certain data were used to reject a
given hypothesis, would it be a good idea to know what type of test
(one-tailed or two-tailed) was used? Explain your answer.
Yes. The conclusions will be the same.No. The conclusions will be the same. Yes. The conclusions can be different.No. The conclusions can be different.
a)The P-value for a one-tailed test is smaller because the two-tailed test includes the area in both tails.
b)Yes. The P-value for a one-tailed test might be smaller than α, while the P-value for a two-tailed test could be larger than α.
c)Yes. If the two-tailed P-value is smaller than α, the one-tailed area is also smaller than α.
d)Yes. The conclusions can be different.
(a) For the same data and null hypothesis, is the P-value of a one-tailed test (right...
If, in a one-tail hypothesis test, the p-value=0.5122 what is the statistical decision if the null hypothesis is tested at the 0.07 level of significance? What is the statistical decision? A) Since the p-value is less than α=0.07, do not reject H0. B) Since the p-value is greater than or equal to α=0.07, do not reject H0. C)Since the p-value is greater than or equal to α=0.07, reject H0. D) Since the p-value is less than α=0.07, reject H 0...
Explain what a P-value is. What is the criterion for rejecting the null hypothesis using the P-value approach? Explain what a P-value is. Choose the correct answer below. OA. A P-value is the probability of observing a sample statistic as extreme or more extreme than the one observed under the assumption that the statement in the null hypothesis is true B. A P-value is the number of standard deviations that the observed proportion is from the proportion stated in the...
1. What are null hypothesis and alternative hypothesis? 2. Inastatisticaltest,wehavethechoiceofatwo-tailedtest,aleft- tailed test, or a right-tailed test. Which hypothesis is the determining factor for choosing the direction of the test? (In other words, how would you decide it) 3. Forthesamesampledataandnullhypothesis,howdoesthe P-value for a two-tailed test compare to that for a one-tailed test? 4. Using P-value method, how would you reject or fail to reject the null hypothesis? (what is the decision criteria?) How does level of significance matter to the hypothesis...
Find the critical value for the indicated hypothesis test, then use this value and the provided information to make a conclusion about the null hypothesis (i.e., reject or fail to reject the null hypothesis). 1.The test statistic in a left-tailed test is z = −2.05; significance level α = 8% 2. Test at the significance level α = 5% the hypothesis H0: p ≤ 0.04, given that the test statistic is z = 1.82. 3. Test at the significance level...
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Is there a relationship between confidence intervals and two-tailed hypothesis tests? Let c be the level of confidence used to construct a confidence interval from sample data. Let α be the level of significance for a two-tailed hypothesis test. The following statement applies to hypothesis tests of the mean. For a two-tailed hypothesis test with level of significance α and null hypothesis H0: μ = k, we reject H0 whenever k falls outside the c = 1 − α confidence...
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The Student's t distribution table gives critical values for the Student's t distribution. Use an appropriate d.f. as the row header. For a right-tailed test, the column header is the value of α found in the one-tail area row. For a left-tailed test, the column header is the value of α found in the one-tail area row, but you must change the sign of the critical value t to −t. For a two-tailed test, the column header is the value...