MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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In the p-value approach, if p-value>α (the level of significance) we reject the null hypothesis.
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- An institute conducted a clinical trial of its methods for gender selection. The results showed that 187 of 338 babies born to parents using a specific gender-selection method were boys. Use the sign test and a 0.01 significance level to test the claim that the method has no effect on the likelihood of a boy. Let p denote the population proportion of baby boys. Ignore the possibility of the method decreasing the likelihood of a boy. What are the null and alternative hypotheses? OA. Ho:p>0.5 H₁: p=0.5 OC. Ho: p=0.5 H₁: p20.5 B. Ho: p=0.5 H₁: p > 0.5 D. Ho: p=0.5 H₁: p=0.5 Find the test statistic. Test statistic = (Round to two decimal places as needed.)arrow_forwardThe smaller the observed p-value, the more evidence you have against the null hypothesis. Select one: True Falsearrow_forwardWhat does it mean for the results of a hypothesis test to be statistically significant?arrow_forward
- 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) a = 0.10. P= 0.0406 (a) Do you reject or fail to reject H, at the 0.01 level of significance? O A. Reject H, because the P-value, 0.0406, is less than a = 0.01. O B. Fail to reject H, because the P-value, 0.0406, is less than a = 0.01. OC. Reject H, because the P-value, 0.0406, is greater than a = 0.01. O D. Fail to reject H, because the P-value, 0.0406, is greater than a = 0.01. (b) Do you reject or fail to reject H, at the 0.05 level of significance? O A. Fail to reject H, because the P-value, 0.0406, is greater than a= 0.05. O B. Reject H, because the P-value, 0.0406, is less than a = 0.05. O C. Reject H, because the P-value, 0.0406, is greater than a = 0.05. O D. Fail to reject H, because the P-value, 0.0406, is less than a = 0.05. (c) Do you reject or fail to reject H, at the 0.10 level of significance? O A. Reject H,…arrow_forwardIs there a relationship between the number of votes received by candidates for public office and the amount spent on their campaigns? Candidate Amount spent (000) Votes received (000)Weber $3 14Taite $4 7Spencer $2 5Lopez $5 12Using a 0.01 significance level, do the formal hypothesis test (using critical values).Remember to show your steps (including all relevant information) show the steps on how to solve itarrow_forwardIf a significance test gives p-value 0.005... A.. the effect of interest is practically significant B...We do have good evidence against the null hypothesis C...we do not have good evidence against the null hypothesis D...the null hypothesis is very likely to be true E.. The margin of error is 0.005arrow_forward
- The P-value for a hypothesis test is shown. Use the P-value to decide whether to reject Ho when the level of significance is (a) a = 0.01, (b) a =0.05, and (c) a= 0.10. P= 0.1089 (a) Do you reject or fail to reject Ho at the 0.01 level of significance? O A. Reject Ho because the P-value, 0.1089, is greater than a= 0.01. O B. Reject H, because the P-value, 0.1089, is less than a= 0.01. O C. Fail to reject Ho because the P-value, 0.1089, is less than a = 0.01. D. Fail to reject Ho because the P-value, 0.1089, is greater than a = 0.01. (b) Do you reject or fail to reject Ho at the 0.05 level of significance? O A. Fail to reject Ho because the P-value, 0.1089, is greater than a = 0.05. 0.05. O B. Reject H, because the P-value, 0.1089, is greater than O C. Fail to reject Ho because the P-value, 0.1089, is less than a = 0.05. O D. Reject H, because the P-value, 0.1089, is less than a = 0.05.arrow_forwardIf the p-value is very large (say close to 1), then it is likely that we will reject the null hypothesis. True Falsearrow_forwardStatistics is not about getting accurate results. It is about Finding sufficient evidence to prove that your null hypothesis (Ho) is correct Gathering data about the population Finding sufficient evidence to prove that your null hypothesis statement is wrongarrow_forward
- How would you explain the null hypothesis :H0: The proportion of participants who suffer from cancer equals between smoking participants and non-smoking participants in terms of the ramifications of type I error and type IIarrow_forwardAn institute conducted a clinical trial of its methods for gender selection. The results showed that 153 of 276 babies born to parents using a specific gender-selection method were boys. Use the sign test and a 0.05 significance level to test the claim that the method has no effect on the likelihood of a boy. Let p denote the population proportion of baby boys. Ignore the possibility of the method decreasing the likelihood of a boy. What are the null and alternative hypotheses? O A. Ho: p=0.5 H₂₁: p20.5 O C. Ho: p=0.5 H₁: p=0.5 O B. Ho:p>0.5 H₁: p=0.5 O D. Ho: p=0.5 H₁: p > 0.5 Find the test statistic. Test statistic = Find the P-value. P-value = (Round to four decimal places as needed.) Determine the proper conclusion. Choose the correct answers below. Since the P-value is (Round to two decimal places as needed.) than the significance level, evidence that the method used is effective in increasing the likelihood of a boy. the null hypothesis. There isarrow_forwardThe principal of a school would like to investigate whether more than 40% of the senior learners smoke. The study involved a random sample of 120 learners and 60 learners reported that they were smokers. Let: p= the population proportion of senior learners who smoke. p¯= the sample proportion of senior learners who smoke. (a) give the standard error of p¯ under the null Hypothesis (b) calculate the value of the test statistic (c) give the p-valuearrow_forward
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