hypothesis test will be conducted and after summarinzing the data, the observed test statistic is z = 1.9. Explain how much evidence we have against the null hypothesis (H0) and for the alternative hypothesis (Ha) in each of the following sets of hypotheses: Explain the reason that the answer differs depending on the chosen alternative hypothesis.
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A hypothesis test will be conducted and after summarinzing the data, the observed test statistic is z = 1.9. Explain how much evidence we have against the null hypothesis (H0) and for the alternative hypothesis (Ha) in each of the following sets of hypotheses:
Explain the reason that the answer differs depending on the chosen alternative hypothesis.
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- 14% of all Americans suffer from sleep apnea. A researcher suspects that a lower percentage of those who live in the inner city have sleep apnea. Of the 341 people from the inner city surveyed, 34 of them suffered from sleep apnea. What can be concluded at the level of significance of a = 0.01? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? v Select an answer V (please enter a decimal) H1: ? v Select an answer V (Please enter a decimal) c. The test statistic ? v (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? va f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the population proportion is not significantly smaller than 14% at a = 0.01, so there is sufficient evidence to conclude that the population proportion of inner city residents who have sleep apnea is equal to…Select the appropriate null and alternative hypothesis for the following research question: People who see therapists have lower depression scores than people who do not see therapists? xbar1 = the average depression score for people who see a therapist xbar2 = the average depression score for people who do not see a therapist O Null Hypothesis: People who see a therapist have depression scores lower than or equal to people who do not see a therapist i.e. xbar1 xbar2 O Null Hypothesis: People who see a therapist have depression scores higher than or equal to people who do not see a therapist i.e. xbar1 >= xbar2 Alternative Hypothesis: People who see a therapist have depression scores lower than people who do not see a therapist i.e. xbar1 < xbar2Only about 10% of all people can wiggle their ears. Is this percent higher for millionaires? Of the 307 millionaires surveyed, 46 could wiggle their ears. What can be concluded at the α = 0.05 level of significance? For this study, we should use The null and alternative hypotheses would be: H0:H0: (please enter a decimal) H1:H1: (Please enter a decimal) The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 3 decimal places.) The p-value is α Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly higher than 10% at α = 0.05, so there is statistically insignificant evidence to conclude that the population proportion of millionaires who can wiggle their ears is higher than 10%. The data suggest the populaton proportion is significantly higher than 10% at α = 0.05, so there is statistically…
- 18% of all college students volunteer their time. Is the percentage of college students who are volunteers smaller for students receiving financial aid? Of the 379 randomly selected students who receive financial aid, 57 of them volunteered their time. What can be concluded at the a = 0.01 level of significance? a. For this study, we should use z-test for a population proportion b. The null and altemative hypotheses would be: Họ: P (please enter a decimal) Hi: P (Please enter a decimal) c. The test statistic zv (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is > v f. Based on this, we should fail to reject g. Thus, the final conclusion is that ... a the null hypothesis. O The data suggest the population proportion is not significantly lower than 18% at a = 0.01, so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is equal to 18%. O The data suggest the…55% of students entering four-year colleges receive a degree within six years. Is this percent larger than for students who play intramural sports? 161 of the 256 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of a = 0.10? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? Select an answerv (please enter a decimal) H1: ?v Select an answerv (Please enter a decimal) c. The test statistic ?v = (please show your answer to 3 decimal places.) d. The p-value = |(Please show your answer to 4 decimal places.) e. The p-value is ? a f. Based on this, we should Select an answerv the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the populaton proportion is significantly larger than 55% at a = 0.10, so there is sufficient evidence to conclude that the population proportion of students who played intramural sports who received a degree…You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly smaller than 76% at a significance level of αα = 0.01. According to your sample, 54 out of 80 potential voters prefer Candidate A. For this study, we should use The null and alternative hypotheses would be: H0H0: (please enter a decimal) H1H1: (Please enter a decimal) The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is αα Based on this, we should the null hypothesis. As such, the final conclusion is that ... The sample data suggest that the population proportion is not significantly smaller than 76% at αα = 0.01, so there is not sufficient evidence to conclude that the proportion of voters who prefer Candidate A is smaller than 76%. The sample data suggest that the populaton proportion is…
- A researcher is wondering whether the drinking habits of adults in a certain region of a country are different than those in the general adult population. Suppose a recent study states that the proportion of adults in the general population who reported drinking once a week or less in the last month is 0.26. The null hypothesis for this test is p = 0.26 and the alternative hypothesis is p+ 0.26. The researcher collected data from 150 surveys he handed out at a busy park located in the region. Are the conditions for proceeding with a one-proportion z-test satisfied? If not, which condition is not satisfied? O a. Conditions are not satisfied; the researcher did not collect a random sample. O b. Conditions are not satisfied; the population of interest is not large enough to assume independence. Oc. Conditions are not satisfied; the sample size is not large enough. O d. All conditions are satisfied.Identify the type I error and the type II error that corresponds to the given hypothesis. The proportion of people who write with their left hand is equal to 0.33. Which of the following is a type I error? A. Reject the claim that the proportion of people who write with their left hand is 0.33 when the proportion is actually different from 0.33. B. Reject the claim that the proportion of people who write with their left hand is 0.33 when the proportion is actually 0.33. C. Fail to reject the claim that the proportion of people who write with their left hand is 0.33 when the proportion is actually 0.33. D. Fail to reject the claim that the proportion of people who write with their left hand is 0.33 when the proportion is actually different from 0.33. Which of the following is a type II error? A. Reject the claim that the proportion of people who write with their left hand is 0.33 when the proportion is actually different…Only about 18% of all people can wiggle their ears. Is this percent lower for millionaires? Of the 326 millionaires surveyed, 49 could wiggle their ears. What can be concluded at the αα = 0.01 level of significance? For this study, we should use Correct The null and alternative hypotheses would be: H0: (please enter a decimal) H1: (Please enter a decimal) The test statistic = ? (please show your answer to 4 decimal places.) The p-value = ? (Please show your answer to 4 decimal places.) The p-value is <OR > α? Based on this, we should ACCEPT OR REJECT OR FAIL TO REJECT the null hypothesis ?
- Test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, and then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Among 2070 passenger cars in a particular region, 231 had only rear license plates. Among 302 commercial trucks, 45 had only rear license plates. A reasonable hypothesis is that commercial trucks owners violate laws requiring front license plates at a higher rate than owners of passenger cars. Use a 0.10 significance level to test that hypothesis. a. Test the claim using a hypothesis test. b. Test the claim by constructing an appropriate confidence interval. .029 (Round to three decimal places as needed.) State the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. O A. Reject Ho. There is not sufficient evidence to support the claim that commercial trucks owners violate laws requiring front license plates at a…This Question: 4 pts 1 of 9 (0 complete) This Quiz: 45 pts possible Assume a significance level of a = 0.05 and use the given information to complete parts (a) and (b) below. Original claim: More than 54% of adults would erase all of their personal information online if they could. The hypothesis test results in a P-value of 0.1661. a. State a conclusion about the null hypothesis. (Reject H, or fail to reject Ho.) Choose the correct answer below. A. Reject Ho because the P-value is greater than a. B. Reject Ho because the P-value is less than or equal to a. C. Fail to reject H, because the P-value is less than or equal to a. O D. Fail to reject H, because the P-value is greater than a. b. Without using technical terms, state a final conclusion that addresses the original claim. Which of the following is the correct conclusion? A. There is sufficient evidence to support the claim that the percentage of adults that would erase all of their personal information online if they could is…The recidivism rate for convicted sex offenders is 11%. A warden suspects that this percent is different if the sex offender is also a drug addict. Of the 337 convicted sex offenders who were also drug addicts, 30 of them became repeat offenders. What can be concluded at the a = 0.10 level of significance? For this study, we should use Select an answer The null and alternative hypotheses would be: Ho: ? ✓ Select an answer H₁: ? ✓ Select an answer (please enter a decimal) (Please enter a decimal) The test statistic ? ✓ = The p-value = The p-value is? ♥ α Based on this, we should [Select an answer the null hypothesis. Thus, the final conclusion is that ... (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) O The data suggest the population proportion is not significantly different from 11% at a = 0.10, so there is statistically insignificant evidence to conclude that the population proportion of convicted sex offender drug addicts who become…