EBK BUSINESS STATISTICS
8th Edition
ISBN: 9780135179833
Author: STEPHAN
Publisher: VST
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A researcher is wondering whether the drinking habits of adults in a certain region of the country are in the same proportion as the general population of adults. Suppose a recent study stated that the proportion of
adults who reported drinking once a week or less in the last month was 0.26. The researcher's null hypothesis for this test is Ho: p = 0.26 and the alternative hypothesis is H₂ p > 0.26. The researcher collected
data from a random sample of 75 adults in the region of interest. To continue the study into the drinking habits of adults, the researcher decides to collect data from adults working in "blue collar" jobs to see
whether their drinking habits are in the same proportion as the general public. The null hypothesis for this test is Ho: p=0.26 and the alternative hypothesis is H₂ p > 0.26. The researcher collected data from a
random sample of 90 adults with "blue collar" jobs of which 30 stated that they drank once a week or less in the last month. Assume that the…
A researcher is wondering whether the drinking habits of adults in a certain region of the country are in the same proportion as the general population of adults. Suppose a recent study stated that the proportion of adults who reported drinking once a week or less in the last month was 0.26. The researcher's null hypothesis for this test is
H0:
p=0.26
and the alternative hypothesis is
Ha: p>0.26.
The researcher collected data from a random sample of 75 adults in the region of interest. To continue the study into the drinking habits of adults, the researcher decides to collect data from adults working in "blue collar" jobs to see whether their drinking habits are in the same proportion as the general public. The null hypothesis for this test is
H0:
p=0.26
and the alternative hypothesis is
Ha: p > 0.26.
The researcher collected data from a random sample of 90 adults with "blue collar" jobs of which 30 stated that they drank once a week or less in the last month. Assume that…
A sample of n = 40 individuals is selected from a population with µ = 30, and a treatment is administered to the sample. What is expected if the treatment has an effect?
a. The sample mean should be very different from 30 and should lead you to reject the null hypothesis.
b. The sample mean should be very different from 30 and should lead you to fail to reject the null hypothesis.
c. The sample mean should be close to 30 and should lead you to reject the null hypothesis.
d. The sample mean should be close 30 and should lead you to fail to reject the null hypothesis.
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- Suppose that we have a problem for which the null and alternative hypothesis are given by: H0: μ = $1250. H1:μ ≠ $ 1250 Is this a right-tailed test, left-tailed test, or two-tailed test. Find the z value based on a level of significance of α=.12.arrow_forwardSuppose that we have a problem for which the null and alternative hypothesis are given by: H0: μ = 88.5 ounces. H1:μ < 88.5 ounces. Is this a right-tailed test, left-tailed test, or two-tailed test. Find the z value based on a level of significance of α=.10.arrow_forwardSuppose a sample size of 103 was used to conduct a left tailed hypothesis test for a single population mean. The null hypothesis was H0:μ=22H0:μ=22 and the p-value was 0.04. Then there is a 4% chance that the population mean is equal to 22. True or false?arrow_forward
- Suppose that we have a problem for which the null and alternative hypothesis are given by: H0: μ = 63.8 minutes. H1: μ > 63.8 minutes. Is this a right-tailed test, left-tailed test, or two-tailed test. Find the z value based on a level of significance of α=.07.arrow_forwardBased on this, we should the null hypothesis. Thus, the final conclusion is that ... The results are statistically insignificant at αα = 0.05, so there is insufficient evidence to conclude that applicants with easy to pronounce last names are more likely to get called for an interview compared to applicants with difficult to pronounce last names. The results are statistically significant at αα = 0.05, so there is sufficient evidence to conclude that the proportion of the 563 applicants with easy to pronounce names who got called for an interview is greater than the proportion of the 809 applicants with difficult to pronounce names who got called for an interview. The results are statistically significant at αα = 0.05, so there is sufficient evidence to conclude that among all possible applicants, people with easy to pronounce last names are more likely to get called for an interview compared to people with difficult to pronounce last names. The results are statistically…arrow_forwardWith H1: p # 0.3827, the test statistic is z = 2.324. For 0. 1 significance level what are the p-value and the conclusion about the null hypothesis? Correct answer is not listed 0.01005, Fail to reject HO 0.02011, Reject HO 0.01005. Reject HO 0.3827, Reject HO 0.3827, Fail to reject HOarrow_forward
- Find the P-value for a left-tailed hypothesis test with a test statistic of z=−1.04. Decide whether to reject H0 if the level of significance is α=0.10.arrow_forwardA researcher expects a treatment to affect the scores for individuals in a population. The treatment is evaluated using a two-tailed hypothesis test, and the test produces z = +2.65. Based on this result, what is the correct statistical decision? a. The researcher should reject the null hypothesis with α = .05 b. The researcher should reject the null hypothesis with α = .01 c. The researcher should fail to reject Ho with either α = .05 or α = .01 d. Cannot answer without additional informationarrow_forwardA sample of n = 25 scores produces a t statistic of t = −2.05. If the researcher is using a two-tailed test with ? = .05, what would be the correct statistical decision? The researcher must fail to reject the null hypothesis with either ? = .05 or ? = .01. The researcher can reject the null hypothesis with either ? = .05 or ? = .01. The researcher can reject the null hypothesis with ? = .05 but not with ? = .01. It is impossible to make a decision about H0 without more information.arrow_forward
- iPhones is different from 0.32. The hypotheses for this scenario are as follows. Null Hypothesis: p = 0.32, Alternative Hypothesis: p ≠ 0.32. If the student takes a random sample of students and calculates a p-value of 0.0150 based on the data, what is the appropriate conclusion? Conclude at the 5% level of significance. Question 15 options: 1) The proportion of students that use iPhones is equal to 0.32. 2) The proportion of students that use iPhones is significantly different from 0.32. 3) The proportion of students that use iPhones is significantly larger than 0.32. 4) We did not find enough evidence to say a significant difference exists between the proportion of students that use iPhones and 0.32 5) The proportion of students that use iPhones is significantly less than 0.32.arrow_forwardYou want to test the following hypotheses. There are three categories: x, y and z. H0: px = .20, py = .40, and pz = .40 HA: The population proportions are not px = .20, py = .40, and pz = .40 A sample size of 200 resulted in 20 observations in category x, 120 in category y and 60 in category z. Use α = .01 and test to see whether the proportions are as stated in H0. Use the p-value approach. How many degrees of freedom are there?arrow_forward10. A one-tailed hypothesis test with the t statisticarrow_forward
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