Homework Answers
The P-value is the probability that the test statistic obtained is as large as or greater than the one obtained under assumption that the null hypothesis is true.
A large p value (greater than 0.1) indicate that the null has a higher chance of being true, whereas a smaller p value (lesser than 0.01) would indicate that the alternative hypothesis is true.
Hence when the p value is small, we reject the null hypothesis:
Option C: You should Reject the null Hypothesis
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if a p - value is very small, this means
If a P-value is very small,...
The P-value for a hypothesis test is shown. Use the P-value to decide whether to reject...
The P-value for a hypothesis test is shown. Use the P-value to decide whether to reject H when the level of significance is (a) a= 0.01, (b) a 0.05, and (c) a0.10. P 0.0749 (a) Do you reject or fail to reject Ho at the 0.01 level of significance? O A. Reject H because the P-value, 0.0749, is greater than a=0.01 O B. Fail to reject Ho because the P-value, 0.0749, is less than a = 0.01 O C. Reject...
A test of hypothesis is conducted and the p-value is .11. This means we ______ A....
A test of hypothesis is conducted and the p-value is .11. This means we ______ A. Reject the null hypothesis at the .01 level B. Reject the null hypothesis at the .05 level but not the .01 level C. Reject the null hypothesis at the .10 level but not at the .05 level D. Fail to reject the null hypothesis at the .10 level
Suppose a random sample of 100 observations from a binomial population gives a value of p...
Suppose a random sample of 100 observations from a binomial population gives a value of p = 0.45 and you wish to test the null hypothesis that the population parameter p is equal to 0.40 against the alternative hypothesis that p is greater than 0.40. Complete parts a through c. a. Noting that p = 0.45, what does your intuition tell you? Does the value of p appear to contradict the null hypothesis? O A. Yes, because p satisfies Hg:p>0.40...
8. A very small p-value indicates that: a. we should accept the alternative hypothesis. b. we...
8. A very small p-value indicates that: a. we should accept the alternative hypothesis. b. we should reject the null hypothesis and the alternative hypothesis. c. we should reject the null hypothesis. d. we should not reject the null hypothesis.
Find the critical value and rejection region for the type of t-test with level of significance...
Find the critical value and rejection region for the type of t-test with level of significance a and sample size n. Left-tailed test, a=0.1, n = 34 O A. to = -1.308; T< -1.308 O B. to = 1.308; i>1.308 OC. to = -2.445;t< -2.445 OD. to = -1.307;t< - 1.307 State whether the standardized test statistic t indicates that you should reject the null hypothesis. Explain. (a)t = 2.106 (b) t = 0 (c) t= -2.049 (d) t =...
QUESTION 21 A p value is the probability of obtaining the value of the test statistic...
QUESTION 21 A p value is the probability of obtaining the value of the test statistic or more extreme, if the null hypothesis is true. a. True b. False QUESTION 18 Type I error occurs when a. you reject a false null hypothesis b. you reject a true null hypothesis c. you fail to reject a false null hypothesis d. you fail to reject a true null hypothesis QUESTION 19 Type II error occurs when a. you reject a false...
Test the hypothesis, using (a) the classical approach and then (b) the P-value approach. Be sure...
Test the hypothesis, using (a) the classical approach and then (b) the P-value approach. Be sure to verify the requirements of he test. Ho p 0.6 vsus H p>0.6 n 100; x- 75, a-0.05 a) Choose the correct result of the hypothesis test for the classic approach below. OA. Do not reject the null hypothesis, because the test statistic is greater than the critical value B. O C. Reject the null hypothesis, because the test statistic is greater than the...
To test Ho: p= 100 versus Hy: p* 100, a simple random sample size of n...
To test Ho: p= 100 versus Hy: p* 100, a simple random sample size of n = 20 is obtained from a population that is known to be normally distributed. Answer parts (a)-(d). Click here to view the t-Distribution Area in Right Tail. (a) If x = 105.4 and s= 9.1, compute the test statistic. (Round to three decimal places as needed.) ta (b) If the researcher decides to test this hypothesis at the a=0.01 level of significance, determine the...
(a) Write the calm mathematically and identify Ho and H, (b) Find the critical value(s) and...
(a) Write the calm mathematically and identify Ho and H, (b) Find the critical value(s) and identify the rejection region(s). (c) Find the standardized test statistic (d) Decide whether to reject or fail to reject the null hypothesis. A medical researcher says that at least 29% of adults are smokers. In a random sample of 200 adults, 22.5% say they are smokers. At 001, do you have enough evidence to reject the researcher's claim? (a) Which of the following correctly...
To test Ho: p= 100 versus Hy: p + 100, a simple random sample size of...
To test Ho: p= 100 versus Hy: p + 100, a simple random sample size of n = 19 is obtained from a population that is known to be normally distributed. Answer parts (a)-(d). Click here to view the t-Distribution Area in Right Tail. (a) If x = 105.4 and s = 9.7, compute the test statistic. t= (Round to three decimal places as needed.) (b) If the researcher decides to test this hypothesis at the a= 0.01 level of...
The P-value for a hypothesis test is shown. Use the P-value to decide whether to reject H when the level of significance is (a) a= 0.01, (b) a 0.05, and (c) a0.10. P 0.0749 (a) Do you reject or fail to reject Ho at the 0.01 level of significance? O A. Reject H because the P-value, 0.0749, is greater than a=0.01 O B. Fail to reject Ho because the P-value, 0.0749, is less than a = 0.01 O C. Reject...
Suppose a random sample of 100 observations from a binomial population gives a value of p = 0.45 and you wish to test the null hypothesis that the population parameter p is equal to 0.40 against the alternative hypothesis that p is greater than 0.40. Complete parts a through c. a. Noting that p = 0.45, what does your intuition tell you? Does the value of p appear to contradict the null hypothesis? O A. Yes, because p satisfies Hg:p>0.40...
Find the critical value and rejection region for the type of t-test with level of significance a and sample size n. Left-tailed test, a=0.1, n = 34 O A. to = -1.308; T< -1.308 O B. to = 1.308; i>1.308 OC. to = -2.445;t< -2.445 OD. to = -1.307;t< - 1.307 State whether the standardized test statistic t indicates that you should reject the null hypothesis. Explain. (a)t = 2.106 (b) t = 0 (c) t= -2.049 (d) t =...
Test the hypothesis, using (a) the classical approach and then (b) the P-value approach. Be sure to verify the requirements of he test. Ho p 0.6 vsus H p>0.6 n 100; x- 75, a-0.05 a) Choose the correct result of the hypothesis test for the classic approach below. OA. Do not reject the null hypothesis, because the test statistic is greater than the critical value B. O C. Reject the null hypothesis, because the test statistic is greater than the...
To test Ho: p= 100 versus Hy: p* 100, a simple random sample size of n = 20 is obtained from a population that is known to be normally distributed. Answer parts (a)-(d). Click here to view the t-Distribution Area in Right Tail. (a) If x = 105.4 and s= 9.1, compute the test statistic. (Round to three decimal places as needed.) ta (b) If the researcher decides to test this hypothesis at the a=0.01 level of significance, determine the...
(a) Write the calm mathematically and identify Ho and H, (b) Find the critical value(s) and identify the rejection region(s). (c) Find the standardized test statistic (d) Decide whether to reject or fail to reject the null hypothesis. A medical researcher says that at least 29% of adults are smokers. In a random sample of 200 adults, 22.5% say they are smokers. At 001, do you have enough evidence to reject the researcher's claim? (a) Which of the following correctly...
To test Ho: p= 100 versus Hy: p + 100, a simple random sample size of n = 19 is obtained from a population that is known to be normally distributed. Answer parts (a)-(d). Click here to view the t-Distribution Area in Right Tail. (a) If x = 105.4 and s = 9.7, compute the test statistic. t= (Round to three decimal places as needed.) (b) If the researcher decides to test this hypothesis at the a= 0.01 level of...
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