How many people must the sample consist of for the error of the obtained estimation to be no greater than 0.001 with probability 0.9?
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Task 8. On the basis of a random sample we want to estimate what percentage of the population suffers from a certain rare disease. How many people must the sample consist of for the error of the obtained estimation to be no greater than 0.001 with
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- You have been hired by a local middle school to teach students about drugs and the harms of drug use. Being the statistician that you are, you want to see how effective your lecture is at increasing knowledge; therefore, you give them a pretest of 10 questions to measure their knowledge of drugs and the harms of drug use. After your lecture, you give the same students a posttest and measure their knowledge of drugs and the harms of drug use. BY HAND, Determine whether the students’ knowledge significantly increased as a result of your lecture. Use an alpha of .05. Pre Post 3 6 1 4 0 5 4 3 2 9 5 9 3 3 2 7 3 6 4 8A pollster wishes to estimate the number of left-handed scientists. How large a sample is needed in order to be 95% confident that the sample proportion will not differ from the true proportion by more than 4%? A previous study indicates that the proportion of left-handed scientists is 8%.You wish to estimate the average weight of a mouse. You obtain 10 mice, sampled uniformly at random and with replacement from the mouse population. The weights are 21, 23, 27, 19, 17, 18, 20, 15, 17 and 22 grams. How many mice would you need to reduce the standard error of the interval estimate to 0.25? Round off answer to whole number.
- when we sample from an infinite population, what happens to the standard error of the mean if the sample size is decreased from 1600 to 100 decreased by 496 O increased by 400 O unchanged O decreased by 4006Mr. Tabor believes that less than 75% of the students at his school completed their math homework last night. The math teachers inspect the homework assignments from a random sample of 50 students at the school. Only 68% of the students completed their math homework. We want to test ?0:?=0.75;??:?<0.75H0:p=0.75;Ha:p<0.75, where ?p = the true proportion of the students at Mr. Tabor’s school who completed their math homework last night. A significance test yields a ?P-value of 0.1265. What it would mean for the null hypothesis to be true in this setting? 1. Mr. Tabor’s students complete 75% of their homework last night. 2.cIf ?0:?=0.75H0:p=0.75 is true, then the proportion of the homework that the students at Mr. Tabor’s school completed last night is 0.75. 3. If ?0:?=0.75H0:p=0.75 is true, then the proportion of the sample who completed their homework last night is 0.75. 4. If ?0:?=0.75H0:p=0.75 is true, then the proportion of all students at Mr.…If random samples of the given sizes are drawn from populations with the given proportions, find the mean and standard error of the distribution of differences in sample proportions, p₁ - P₂. mean = n1 250 from p1 Round your answers to three decimal places, if necessary. standard error = i = = 0.8 and n₂ 60 from p₂ = 0.5
- Solve the 2nd question pleaseMr. Tabor believes that less than 75% of the students at his school completed their math homework last night. The ma th teachers inspect the homework assignments from a random sample of 50 students at the school. The math teachers inspect the homework assignments from a random sample of 50 students at the school. Only 68% of the students completed their math homework. We want to test Ho p = 0.75 H. p + 0.75 where p = the true proportion of the students at Mr. Tabor's school who completed their math homework last night. A significance test yields a P-value of 0.1265. What conclusion would you make at the a = 0.05 level? O Because the P-value is greater than = 0.05, we fail to reject Ho. O Because the P-value is higher than the difference between the population parameter and the sample statistic, we fail to reject Ho. Because the P-value is too less than a = 0.05, we fail to reject Ho. O Because the P-value is less than a = 0.05, we reject Ho. O Because the P-value is greater than x =…Write the formula for the sample mean, X, for ʼn data points. Write the formula for the sample variance, S², for n data points.
- COMPUTE FOR THE MARGIN OF ERROR OF THE FOLLOWING AND SHOW THE STEP-BY-STEP SOLUTION. 1. Confidence level = 99%, standard deviation (s) = 25, sample size (n) = 300 FILL IN THE TABLE WITH SOLUTIONS. STEPS SOLUTION STEP 1: STEP 2: STEP 3: STEP 4: STEP 5: Margin of Error: Conclusion:By how many times does the sample size have to be increased to decrease the margin of error by a facgtor of 1/9?Answer all sub parts otherwise I will dislike
