Let X ∼ Bin(124, p) with observed x = 78. Then, the 95% confidence interval for p is . To make the length of the 95% confidence interval for p not greater than 0.05, we need the sample size n to be at least . Based on the data, if we want to test H0 : p ≤ 0.6 against Ha : p > 0.6, we conclude at significance level α = 0.05.
Let F ∼ F4,7. Assume c1 satisfies P(F > c1) = 0.01 and P(F < c2) = 0.01. Then, c1 = and c2 = ,and P(F <−2.0)= .
The Answers should be: 1) [0.544, 0.714] or [0.541, 0.709]; 1537; H0. 2. 7.85; 0.0668; 0
Let X ∼ Bin(124, p) with observed x = 78. Then, the 95% confidence interval for...
Please help, thanks MC 1) Assume that the 99% confidence interval for a regression slope parameter β2 is from -0.3 to 0.8, while the 95% confidence interval for is from 0.1 to 0.4. Suppose you are interested in a test of the null hypothesis Ho : β2--O against the alternative of H1 : β2 Which of the following staternents is true about the p-value for this test? a) p-value >0.05 99 % b) p-value >0.10 fol to ret at ll...
A coin is flipped 100 times, and 42 heads are observed. Find a 99% confidence interval of π (the true population proportion of getting heads) and draw a conclusion based on the collected data. Hint: Choose the best one. (0.274, 0.536) a 99% confidence interval of π and we conclude it is a fair coin. (0.293, 0.547) a 99% confidence interval of π and we conclude it is a fair coin. (0.304, 0.496) a 99% confidence interval of π and...
Suppose that based on two independent samples, the 95% confidence interval for the difference between two population proportions, p1−p2 is (-0.29, -0.01). If a test of hypotheses H0: p1−p2 = 0 versus Ha: p1−p2 ≠ 0 was conducted at 0.05 level of significance based on these samples, the decision would be to .. retain the null hypothesis? reject the null hypothesis?
A2 Let X B(n,p) with known n. Then E(X) np and Var (X) np(1- p). Let p X be an estimator of p. a. If n is large (large enough np> 10 and n(1 - p)> 10), what is the (approximate) distri- bution of p? b. We talked in class that providing a confidence interval is "better" than a point esti- mate. Suppose X = 247 (247 successes) is observed in B(450, p) experiment. Suggest a 95% confidence interval for...
Let X = b(10000, p), x = 5220, H0 is that p = 0.5, H1 is that p does not equal 0.5. Should we accept or reject H1 at 95% confidence level?
What is the sample correlation coefficient rxy between xi and yi? Find the 95% confidence interval for the regression coefficient β1. Test at a 0.05 level of significance to determine whether the regression coefficient β1 is larger than 20. - Alternatives -Decision Rules -Conclusion Problem. Gwyneth Paltrow wants to develop a simple linear regression model, X. = Bo + Boxi + Ej, to predict the total sum of money in $1,000) customers withdraw from automatic teller machines (ATMs) on a...
Confidence Interval: 1. A new Pew Research Center survey of 4,594 U.S. adults finds that 78% of the public thinks it likely that social media platforms actively censor political views that those companies find objectionable. What is the value of n? What is the value of pˆp^ Compute the margin of error, E, that corresponds to a 95% confidence level. Compute the 95% confidence interval estimate of the population proportion p. Based on the results, can we safely conclude that...
aminate sheets under specified conditions was calculated as 5.81 695 A 95% CI for true average mount of war age mm o warpage is normally distributed. ased on a sample size and the as surm on that amount r n (a) Suppose you want to test H0: μ-7 versus Ha: μ 7 using α = 0.05. what conclusion would be appropriate, and why? since the null value o 7 is in the 95% confidence interval we re ect 0 There...
What critical value t∗ from Table D should be used to construct a 95% confidence interval for μ (the population mean) when n = 15 (if applicable, please round your answer to at least 3 decimal places)? You are given only the following information for a hypothesis test of H0: μ=10versusHa: μ̸=10: x ̄ = 12.2 P-value = 0.08 Suppose, based on prior knowledge, the alternative Ha: μ < 10 was actually more appropriate. What is the P-value for the...
1) If n = 270 and X = 216, construct a 95% confidence interval for the population proportion, p. Give your answers to three decimals ----< p < ------ 2)Express the confidence interval 13.5 % ± 5.8 % in the form of a trilinear inequality. ----% < p < -----%