According to Lane et al., the probability value is the probability of finding a result as extreme ormore extreme if the null hypothesis were true. The probability value is always computedassuming the null hypothesis is true. We typically set a cut-off of p = .05. What can be saidabout the evidence that the null hypothesis is true when:a. p=.09b. p=.04C. p= .01d. Based on your answers above, what can be said about the strength of the evidence forsupport of the null hypothesis when p .04 versus p .01?

By decision rule, if the p-value is less than 0.05, reject the null hypothesis. In this context, the…

Answered: According to Lane et al., the…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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I personally have used statistics in trying to challenge the reliability of drug testing results. Suppose the chance of a mistake in the taking and processing of a urine sample for a drug test is just 1 in 100. And your client has a "dirty" (i.e., positive) test result. Only a 1 in 100 chance that it could be wrong? Not necessarily. If the vast majority of all tests given-say 99 in 100-are truly clean, then you get one false dirty and one true dirty in every 100 tests, so that half of the dirty tests are false. Define the following events as: TD = TC = D = event that the person tested is actually dirty C = event that the person tested is actually clean (a) Using the information in the quote, find the values of each of the following. event that the test result is dirty event that the test result is clean (i) P(TD|D) (ii) P(TDIC) (iii) P(C) (iv) P(D) X X (b) Use the law of total probability to find P(TD). (c) Use Bayes' rule to evaluate P(C|TD). X
(c) In formulating hypotheses for a statistical test of significance, the null hypothesis is often O A. the probability of observing the data you actually obtained O B. a statement that the data are all 0. O C.0.05 O D. a statement of "no effect" or "no difference".
Some people say that more babies are born in September than in any other month. To test this claim, you take a random sample of 150 students at your school and find that 21 of them were born in September. You are interested in whether the proportion born in September is greater than 1/12-what you would expect if September was no different from any other month. Thus, the null hypothesis is Ho: p=1/12 . The P-value for your test is 0.0056. Which of the following statements correctly interprets the P-value? Assuming that the proportion of babies born in September is greater than any other month, there is a 0.0056 probability of getting a sample proportion of 21/150 or greater by chance alone. Assuming that the proportion of babies born in September is the same as any other month, there is a 0.0056 probability of getting a sample proportion of 21/150 or greater by chance alone. The probability that the proportion of September birthdays is not equal to 1/12 is 0.0056. The probability that…
Suppose Connie owns a pet store in a large community that has over 50,000 pet owners. She believes that the proportion of men who own cats is different from the proportion of women who own cats. Connie decides to test this claim by performing a two-sample ?-test for two proportions. Her hypotheses are given by ?0:??=???1:??≠?? where ?0 is the null hypothesis, and ?1 is the alternative hypothesis. The variables ?? and ?? represents the population proportion of men and women cat owners, respectively. She randomly samples 420 men and 493 women who are pet owners in the community and finds that 234 men own cats and 256 women own cats. Determine the pooled sample proportion, ?̂. Provide your answer precise to three decimal places. Compute the standard error of the difference of the sample proportions (SE). Provide your answer precise to three decimal places. SE = ?̂=
A researcher sets his decision criteria at p = .01. That is, she decides that she will reject the null hypothesis if the z – value she obtains has a probability of .01 or less. What is this researcher’s probability of making Type I error?
Robert, a starting player for a major college basketball team, made only 38.4% of his free-throws in previous seasons. During the summer, he worked on developing a softer shot in hopes of improving his free throw accuracy. In the first eight games of the season, Robert made 25 free throws of 40 (or 62.5%). We wish to test if the practice helped. Which of the following are the appropriate null and alternative hypotheses, letting p denote his new free-throw shooting probability The null hypothesis is H0: ["", "", "", ""] The alternative hypothesis is Ha:
The term "p-value," which comes into play in the analysis and conclusions steps of the scientific method, can be defined as: O The probability that the alternative hypothesis is true. O The probability that the null hypothesis is true. O The probability of obtaining your data, or something even more extreme, if the null hypothesis is true. The probability that you should reject your alternative hypothesis.
Please help me with the following question.
State whether each of the following is true or false.a. The significance level of a test is the probability that the null hypothesis is false.b. A Type I error occurs when a true null hypothesis is rejected.c. A null hypothesis is rejected at the 0.025 level but is not rejected at the 0.01 level. This means that the p-value of the test is between 0.01 and 0.025.d. The power of a test is the probability of accepting a null hypothesis that is true.e. If a null hypothesis is rejected against an alternative at the 5% level, then using the same data, it must be rejected against that alternative at the 1% level.f. If a null hypothesis is rejected against an alternative at the 1% level, then using the same data, it must be rejected against the alternative at the 5% level.g. The p-value of a test is the probability that the null hypothesis is true.
For each problem, select the best response
Have you heard that American quarters are biased towards heads? Suppose we want to test the claim that the probability of an American quarter coming up heads is more than 50%. Which of the following are the appropriate null and alternative hypotheses? O Ho:p>0.5; H1: ps 0.5 O Ho:ps0.5; H1:p>0.5 O Ho:p> 0.5; H1:p=0.5 O Ho:p=0.5; H1:p>0.5
Solve the following problems. 1. A bakeshop owner determines the number of boxes of hopia that are delivered each day. Find the mean of the probability distribution shown. Number of Boxes (X) Probability P (X) 35 0.10 36 0.20 37 0.30 38 0.30 39 0.10 2. The probabilities that a surgeon operates on 3, 4, 5, 6, or 7 patients in any day are 0.10, 0.20, 0.15, 0.30 and 0.25, respectively. Find the mean of the probability distribution using the formula. 3. Suppose your wallet contains ten P20 bills, five P50 bills, three P100 bills, one P500 bill, and one P1000 bill. Find the u of this distribution and interpret the result.

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