Which statement is true? If you rejected the null hypohesis at alpha = 0.05, then Question 43 options: there is a 1.5% chance that you made a Type I error. there is a 2.5% chance that you made a Type I error. there is a 3.5% chance that you made a Type I error. there is a 4.5% chance that you made a Type I error. The next seven questions refer to the following scenario:A random sample of 16 Porsche drivers yielded an average age of 50 years with a variance of 9 years and a randomsample of also 16 Ferrari drivers yielded an average of 47 years with a variance of 25 years.Porsche DriverFerrari Drivern1616mean5047Variance25Conduct the following hypothesis test at a=0.05.HO: Mean Age Porsche Drivers< Mean Age Ferrari DriversHA: Mean Age Porsche Drivers > Mean Age Ferrari DriversAssume unequal variance.

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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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The first test a doctor would order to determine whether a person is infected with HIV (the virus that causes AIDS) is the ELISA test. It detects antibodies and antigens for HIV. A study in Statistical Science by J. Gastwirth estimated that, if the person is actually infected with HIV, this test produces a positive result 97.7% of the time. If a person is not infected with HIV, the test result is negative 92.6% of the time. According the the US Centers for Disease Control (CDC), an estimated 1.1 million Americans out of a population of 321 million were infected with HIV in 2015. Using the information above, determine the probability that a randomly selected person whose ELISA test is positive actually is infected with HIV? a. What is the probability that a randomly selected American is infected with HIV? b. Using the answer to part (a) and the conditional probabilities of positive and negative ELISA test results, fill out the contingency table below: ELISA Test Result…
Which of the following statements represents a null hypothesis? Strawberries are more nutritious than raspberries. More people prefer Burger King over McDonald's cheeseburgers. COVID is not more dangerous than influenza virus. Smoking cigars has a lower risk of cancer compared to smoking cigarettes.
Suppose that you are considering whether to publish a weekly alternative newspaper on campus. You decide to survey a random sample of students on your campus to ask if they would be likely to read such a newspaper. Your plan is to proceed with publication only if the sample data provide strong evidence that more than 10% of all students on your campus would be likely to read such a newspaper. The parameter of interest is the proportion of all students who would likely read an alternative campus newspaper. The null hypothesis = 0.10 and the alternative hypothesis is greater (>) than 0.10. -What is power in the context of this problem?
you did not answer this Let p be the true proportion of firms with a chief marketing officer currently on their top management team. To conduct the hypothesis test, the null and alternative hypotheses are formulated as: H₀: p̄ p̄ = 0.42'; Haa: p̄ p̄ ≠ 0.42 H₀: p ≥ 0.42; Haa: p < 0.42 H₀: p = 0.42; Haa: p ≠ 0.42 H₀: p ≤ 0.42; Haa: p > 0.42 If the null hypothesis is true, the sampling distribution of the sample proportion p̄ p̄ can be approximated by a _____ with a mean ______ and a standard deviation of ____ . The test statistic is _____ .
Which hypothesis represents the statement of "no change" (or "no affect/difference"), that we assume to be true? A.The one hypothesis, H1 B.The null hypothesis, H0 C.The right hypothesis, H0 D.The alternative Hypothesis, H1
A new blood test is being developed to screen patients for cancer. Positive results are followed up by a more accurate (and expensive) test. It is assumed that the patient does not have cancer. The null hypothesis is that the patient does not have cancer. Which type of error would be more serious because it would result in a cancerous patient not receiving appropriate treatment? Question 16 options: a Type I error b Type II error
A decade-old study found that the proportion of high school seniors who felt that "getting rich" was an important personal goal was 72%. Suppose that we have reason to believe that this proportion has changed, and we wish to carry out a hypothesis test to see if our belief can be supported. O State the null hypothesis H, and the alternative hypothesis H, that we would use for this test. Ho: 0 H: 0 O0 O20 O=0 ?
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The following table contains the number of successes and failures for three categories of a variable. Test whether the proportions are equal for each category at the α=0.1 level of significance. Category 1 Category 2 Category 3 Failures 32 51 57 Successes 39 54 73 State the hypotheses. Choose the correct answer below. A. H0: The categories of the variable and success and failure are independent. H1: The categories of the variable and success and failure are dependent. B. H0: The categories of the variable and success and failure are dependent. H1: The categories of the variable and success and failure are independent. C. H0: p1=p2=p3 H1: At least one of the proportions is different from the others. D. H0: μ1=E1 and μ2=E2 and μ3=E3 H1: At least one mean is different from what is expected. What is the P-value? nothing (Round to three decimal places as needed.) What conclusion can be…
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A decade-old study found that the proportion of high school seniors who felt that "getting rich" was an important personal goal was 66%. Suppose that we have reason to believe that this proportion has changed, and we wish to carry out a hypothesis test to see if our belief can be supported. State the null hypothesis H 00 and the alternative hypothesis H, that we would use for this test. H, :0 H, :0

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	there is a 1.5% chance that you made a Type I error.
	there is a 2.5% chance that you made a Type I error.
	there is a 3.5% chance that you made a Type I error.
	there is a 4.5% chance that you made a Type I error.