What distribution does the test statistic have when the null hypothesis is true?N(0, 1)t(3)t(4)x-(3)x°(4) A Gallup Poll in June 2019 asked 1015 randomly sampled adults living in the United States about their beliefs on how humans originated. Here is a tableof their responses:ResponseCount(1) Humans evolved with God guiding335(2) Humans evolved but God had no part in the223process(3) God created humans in their present form406(4) Other/No opinion51Ten years prior, 32% of U.S. adults believed that humans evolved with God guiding, 15% believed that humans evolved but God had no part in theprocess, 46% believed that God created humans in their present form, and 7% believed something else or had no opinion.Has the distribution of beliefs changed since 2009?

The number of categories k is 4.

Answered: What distribution does the test…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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6. and let Consider a random variable X with the following distribution a P(X= x) 1 0.2 Y = 3 4 7 0.25 0.1 0.35 1, 2, 3, X <3 X 27 otherwise. (a) What are the mean and variance of X? (b) What are the mean and variance of Y? (c) Are X and Y independent? Justify with a formula. (d) Find Cov(X, Y) and the correlation coefficient pxy. 8 0.1
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If 'X' is a continuous random variable, then the expected value is given by O a. SXP(X) O b. P(X) O C. No value such as expected value d. [x P(x) م
a. What is the null hypothesis, and how is it denoted? H0 or H1: σ, p̂, p, σ^2, s^2, s, x̄, μ | >, <, ≠, ≥ , =, or ≤ ______________ minute (s) d. Is it possible to conclude that "there is sufficient evidence to support the claim that the mean wait time is equal to 35 minutes? a.) Yes. b.) No, hypothesis tests can never find sufficient evidence to support a claim; they can only find sufficient evidence to warrant rejection of a claim.
Answer no. 1 only
A coin was flipped 69 times and came up heads 39 times. At the .10 level of significance, is the coin biased toward heads? (a-1) H0: ππ ≤ .50 versus H1: ππ > .50. Choose the appropriate decision rule at the .10 level of significance. Reject H0 if z > 1.282 Reject H0 if z < 1.282 a b (a-2) Calculate the test statistic. (Carry out all intermediate calculations to at least 4 decimal places. Round your answer to 3 decimal places.) Test statistic (a-3) The null hypothesis should be rejected. False True (a-4) The true proportion is greater than .50. False True (b-1) Find the p-value. (Round your answer to 4 decimal places.) p-value (b-2) Is the coin biased toward heads? No Yes
2
need answer of all parts in details. your answer will be appreciated.
A relatively rare disease D occurs with P(D)=0.01. There exists a diagnostic test such that: P(positive test | D)= 0.99 P(positive test | not D)=0.1 Using the bayes rule, what is P(D | positive test)?
Example 17.37. (a) Let x1, x2, ..., Xn be a random sample from the uniform distribution with p.d.f. : 1,0 0 f(x, 0) 0, elsewhere Obtain the maximum likelihood estimator for 0.
Suppose there is a claim that a certain population has a mean, µ, that is different than 9. You want to test this claim. To do so, you collect a large random sample from the population and perform a hypothesis test at the 0.05 level of significance. To start this test, you write the null hypothesis, H and the alternative hypothesis, H, as follows. Ho: µ=9 H1: µ#9 Suppose you also know the following information. The value of the test statistic based on the sample is 1.745 (rounded to 3 decimal places). The p-value is 0.081 (rounded to 3 decimal places). (a) Complete the steps below for this hypothesis test. Normal Distribution Step 1: Select one-tailed or two-tailed. O One-tailed O Two-tailed 03+ Step 2: Enter the test statistic. (Round to 3 decimal places.) Step 3: Shade the area represented by the p-value. 0.1- Step 4: Enter the p-value. (Round to 3 decimal places.) (b) Based on your answer to part (a), which statement below is true? O Since the p-value is less than (or equal to) the…
You are planning to evaluate the mean of a single continuous variable from a study with a sample of n = 25 using the t statistic. What are the degrees of freedom for the sample? 23 26 24 25 With another study, where you also plan on evaluating a mean using the t statistic, you have a sample of n = 31 that has an SS of 120. What is the variance for the sample? 14,400 4 10.95 2.00 For a sample of n = 16 that has a sample variance of 400, what is the estimated standard error for the sample? 5 27 5.16 25

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What distribution does the test statistic have when the null hypothesis is true? O N(0, 1) O t(3) O t(4) O x(3) O x(4)