Question 2 A company worries that less than 50% of it's employees have been boosted. They want to test Ho: p 0.5 vs H1:p<0.5. They plan to randomly select 15 employees and will reject the null hypothesis if less than 4 have been boosted. Determine what the level of significance, a, is for this test.
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- You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly less than 0.75. You use a significance level of α=0.05 H0:p=0.75 H1:p<0.75You obtain a sample of size 223 in which there are 164 successes.What is the test statistic for this sample? (Report answer accurate to 3 decimal places.)What is the p-value for this sample? (Report answer accurate to 4 decimal places.)This test statistic leads to a decision to reject the null accept the null fail to reject the null As such, the final conclusion is that there is sufficient evidence to conclude that the proportion of voters who prefer Candidate A is less than 0.75. there is not sufficient evidence to conclude that the proportion of voters who prefer Candidate A is less than 0.75. there is sufficient evidence to conclude that the proportion of voters who prefer Candidate A is equal to 0.75. there is not sufficient evidence to conSuppose we want to know if the proportion of people with a certain trait is less than 0.5. We observe 100 people and find that 44 of them have the trait of interest. Assume that the samples are Normally distributed. Conduct a hypothesis test at level 0.05 using a p-value to answer this question.Professor Nord stated that the mean score on the final exam from all the years he has been teaching is a 79%. Colby was in his most recent class, and his class’s mean score on the final exam was 82%. Colby decided to run a hypothesis test to determine if the mean score of his class was significantly greater than the mean score of the population. α = .01. What is the mean score of the population? What is the mean score of the sample? Is this test one-tailed or two-tailed? Why?
- You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly less than 0.52. You use a significance level of a = 0.01. Ho:p = 0.52 H1:p < 0.52 You obtain a sample of size n = 414 in which there are 208 successes. What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... less than (or equal to) a greater than a This p-value leads to a decision to... reject the null accept the null O fail to reject the null3. In a two-tailed test of hypotheses, the level of significance is 10%, and the sample size is 13. The value of the test statistic t = –1.972 Therefore, we do not reject H0 Select one: True FalseLooking at youth depression scores from a general sample of random children in the US, we want to determine if our sample is significantly different than the national average of scores of children with depression in the US. The national average of scores on a measure of depression is 5 points. We have no reason to assume it will be higher or lower than the US national average. The sample: 11 9 12 3 3 4 13 1. What is the null and alternative hypotheses? Do not specify any directionality. 2. What did you discover (using 95% Cl)? Provide an interpretation.
- You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly more than 0.16. You use a significance level of a = 0.01. Но:р — 0.16 H1:p > 0.16 You obtain a sample of size n = 621 in which there are 104 successes. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a greater than a This test statistic leads to a decision to... O reject the null O accept the null Ofail to reject the null As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the proportion of voters who prefer Candidate A is more than 0.16. O There is not sufficient evidence to warrant rejection of the claim that the proportion of voters who prefer Candidate A is more than 0.16. O The sample data support the claim that the…You are conducting a study to see if the probability of a true negative on a test for a certain cancer is significantly different from 0.34. You use a significance level of α=0.005α=0.005. H0:p=0.34H0:p=0.34 H1:p≠0.34H1:p≠0.34You obtain a sample of size n=551n=551 in which there are 164 successes.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value =You are conducting a study to see if the proportion of men over 50 who regularly have their prostate examined is significantly more than 0.69. You use a significance level of α=0.01α=0.01. H0:p=0.69H0:p=0.69 H1:p>0.69H1:p>0.69You obtain a sample of size n=445n=445 in which there are 338 successes.What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is... less than (or equal to) αα greater than αα This p-value leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the proportion of men over 50 who regularly have their prostate examined is more than 0.69. There is not sufficient evidence to warrant rejection of the claim that the proportion of men over 50 who regularly have their prostate examined is more than 0.69. The sample data support the claim that the proportion of men…
- Question 2 There is a claim that drink driving has been very common in high ways. The Highway Police randomly caught 300 drivers for breath alcohol test and found that 14% of drivers have breath alcohol over the legal limit. At 4% level of significance, use the p-value approach to test the hypothesis that the percentage of drivers who are drink driving is more than 10%.You are conducting a hypothesis test on the outcome of an Statistics test at a large state University. Your null hypothesis is that the overall class average is less than or equal to 0.80. You take a sample of 64 people (a large sample), and find that the sample average is 0.82, and the standard deviation is 0.05. Your hypothesis test will be conducted at the 0.01 significance level. You calculate your test statistic would be 3.20. Would your test statistic be higher or lower if, instead, you were testing at the 0.01 level? Group of answer choices Lower HIgher The same (neigher higher, nor lower).You are conducting a study to see if the probability of a true negative on a test for a certain cancer is significantly different from 0.27. You use a significance level of α=0.001. H0:p=0.27H0:p=0.27 H1:p≠0.27H1:p≠0.27You obtain a sample of size n=406n=406 in which there are 97 successes.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the probability of a true negative on a test for a certain cancer is different from 0.27. There is not sufficient evidence to warrant rejection of the claim that the probability of a true negative on a test for a…