For the multiple choice questions, circle the best answer.In hypothesis testing, a Type 1 error occurs when:A. the null hypothesis is not rejected when the alternative hypothesis is true.B. the null hypothesis is rejected when the alternative hypothesis is true.C. the null hypothesis is not rejected when the null hypothesis is true.D. the null hypothesis is rejected when the null hypothesis is true.In hypothesis testing, a Type 2 error occurs when:A. the null hypothesis is not rejected when the alternative hypothesis is true.B. the null hypothesis is not rejected when the null hypothesis is true.C. the null hypothesis is rejected when the alternative hypothesis is true.D. the null hypothesis is rejected when the null hypothesis is true.In a hypothesis test the decision was made to not reject the null hypothesis. Which type of mistakecould have been made?А. Туре 1.В. Туре 2.C. Type 1 if it's a one-sided test and Type 2 if it's a two-sided test.D. Type 2 if it's a one-sided test and Type 1 if it's a two-sided test.If, in a hypothesis test, the null hypothesis is actually true, which type of mistake can be made?А. Туре 1.В. Туре 2.C. Type 1 if it's a one-sided test and Type 2 if it's a two-sided test.D. Type 2 if it's a one-sided test and Type 1 if it's a two-sided test.In an American criminal trial, the null hypothesis is that the defendant is innocent and the alternativehypothesis is that the defendant is guilty. Which of the following describes a Type 2 error for a criminaltrial?A. A not guilty verdict for a person who is innocentB. A guilty verdict for a person who is innocent.C. A guilty verdict for a person who is not innocent.D. A not guilty verdict for a person who is guiltyIf I increased a in my statistical test for parameter 0, which of the following would be true? (select allthat apply)A. Type I error increasesB. Type II error increasesC. Power increasesD. Var(0) decreasesWhich of the following increases the power of a statistical test? (select all that apply)A. raising the sample sizeB. lowering aC. the value of the true parameter being closer to the nullD. decreasing test sensitivity

In hypothesis testing, the Type I error is known as the probability of rejecting the null hypothesis…

s testing, a Type 1 error occurs when: e null hypothesis is not rejected when the alternative hypothesis is true. e null hypothesis is rejected when the alternative hypothesis is true. e null hypothesis is not rejected when the null hypothesis is true. e null hypothesis is rejected when the null hypothesis is true. s testing, a Type 2 error occurs when: e null hypothesis is not rejected when the alternative hypothesis is true. e null hypothesis is not rejected when the null hypothesis is true. e null hypothesis is rejected when the alternative hypothesis is true. e null hypothesis is reiected when the null hypothesis is true.

s testing, a Type 1 error occurs when: e null hypothesis is not rejected when the alternative hypothesis is true. e null hypothesis is rejected when the alternative hypothesis is true. e null hypothesis is not rejected when the null hypothesis is true. e null hypothesis is rejected when the null hypothesis is true. s testing, a Type 2 error occurs when: e null hypothesis is not rejected when the alternative hypothesis is true. e null hypothesis is not rejected when the null hypothesis is true. e null hypothesis is rejected when the alternative hypothesis is true. e null hypothesis is reiected when the null hypothesis is true.

Trigonometry (MindTap Course List)

8th Edition

ISBN:9781305652224

Author:Charles P. McKeague, Mark D. Turner

Publisher:Charles P. McKeague, Mark D. Turner

Chapter1: The Six Trigonometric Functions

Section: Chapter Questions

Problem 1RP: Although Pythagoras preceded William Shakespeare by 2,000 years, the philosophy of the Pythagoreans...

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Although Pythagoras preceded William Shakespeare by 2,000 years, the philosophy of the Pythagoreans is mentioned in Shakespears The Merchant of Venice. Here is a quote from that play: Thou almost makst me waver in my faith, To hold opinion will Pythagoras, That souls of animals infuse themselves Into the trunks of men. Research the Pythagoreans. What were the main beliefs held by their society? What part of the philosophy of the Pythagoreans was Shakespeare referring to specifically with this quote? What present-day religions share a similar belief? Write a paragraph or two about your findings.
Use the 7 steps in Hypothesis Testing in answering the problems below.
A dental assistant is interested in the proportion of patients that need a root canal. Let the proportion of patients that need a root canal be p. If the dental assistant wanted to know if the proportion of patients that need a root canal is more than 20%, what are the null and alternative hypotheses? Select the correct answer below: H0: p=0.20; Ha: p<0.20 H0: p>0.20; Ha: p=0.20 H0: p=0.20; Ha: p>0.20 H0: μ=0.20; Ha: μ>0.20
Identify the type of hypothesis test below.H0:X≤16.9, Ha:X>16.9
Buyers are skeptical of an ATV advertisement that claims the newest model 4-wheeler gets an average of 17 miles per gallon. They believe the dealer is understating the average. Which null and alternative hypotheses should the buyer's test? Let µ represent the true average gas mileage. Group of answer choices H0: µ > 17 miles per gallon, Ha: µ ≥ 17 miles per gallon H0: µ ≤ 17 miles per gallon, Ha: µ < 17 miles per gallon H0: µ = 17 miles per gallon, Ha: µ > 17 miles per gallon H0: µ = 17 miles per gallon, Ha: µ < 17 miles per gallon H0: µ = 17 miles per gallon, Ha: µ ≠ 17 miles per gallon
A college informs incoming students that the starting salary for a child clinical psychiatrist is $165,000. You think the college is truthful. Which is the alternative hypothesis? Ha: Salary ≠ $165,000 Ha: salary = $165,000
Follow the steps in testing hypothesis to answer the problem:
6) Decide whether the null hypothesis should be rejected when a = 0.05 and the P-value = 0.045.
(b)Based on your answer to part (a), which statement below is true? Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. Since the p-value is greater than the level of significance, the null hypothesis is rejected. Since the p-value is greater than the level of significance, the null hypothesis is not rejected.
Which alternative? In each of the following situations,is the alternative hypothesis one-sided or two-sided?What are the hypotheses?a) A college dining service conducts a survey to see ifstudents prefer plastic or metal cutlery. b) In recent years, 10% of college juniors have appliedfor study abroad. The dean’s office conducts a surveyto see if that’s changed this year.c) A pharmaceutical company conducts a clinical trial tosee if more patients who take a new drug experienceheadache relief than the 22% who claimed relief aftertaking the placebo.d) At a small computer peripherals company, only 60% of the hard drives produced passed all their perfor-mance tests the first time. Management recently in-vested a lot of resources into the production system and now conducts a test to see if it helped.
If your null and alternative hypothesis are:H0:μ=64H0:μ=64 H1:μ<64H1:μ<64Then the test is: