### Formulating Hypotheses: Example Exercise**Conjecture:**For the following conjecture, state the null and alternative hypothesis.**Statement:**92% of teenagers have never smoked cigarettes.**Hypotheses to Formulate:**1. **Null Hypothesis (\(H_0\)):** - The null hypothesis is \(H_0: p = 0.92\), where \(p\) represents the proportion of teenagers who have never smoked cigarettes. 2. **Alternative Hypothesis (\(H_1\)):** - The alternative hypothesis is \(H_1\). This can be one of the following based on the research question: - \(p \neq 0.92\) (two-tailed test: the proportion is different from 92%) - \(p < 0.92\) (left-tailed test: the proportion is less than 92%) - \(p > 0.92\) (right-tailed test: the proportion is more than 92%)**Diagram/Tool Explanation:**- The section next to the hypotheses has a drop-down or input field that allows for selection of the symbol (e.g., =, ≠, <, >) to complete the hypothesis statement based on the context or research question.

given data claim : 92% of teenagers have never smoked cigarettes we have to find null and…

Answered: For the following conjecture, state the…

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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Scenario: 200 people were asked, “Who is your favorite superhero?” Below are the data. Test the null hypothesis that the population frequencies for each category are equal. α= .05. Iron Man Black Panther Wonder Woman Spiderman fo = 40 fo = 60 fo =55 fo = 45 fe = fe = fe = fe = What is the correct result based on the data?
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Historical data indicates that the mean weight of female yoga instructors working at a local studio is 150 Ibs. New research seems to indicate that the mean is now at most 150 lbs. Express the null and alternative hypotheses in symbolic form for this claim. Ho: 7
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In the prior presidential election, the average voter turnout in Miami was 57%. You think this will change in the next presidential election. Which is the null hypothesis? H0: turnout = 57% H0: turnout ≠ 57%
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For the statement below, write the claim as a mathematical statement. State the null and alternative hypotheses and identify which represents the claim. A laptop manufacturer claims that the mean life of the battery for a certain model of laptop is less than 9 hours. Write the claim as a mathematical statement. OA. μ=9 OD. H>9 Choose the correct null and alternative hypotheses below. OA. Ho: *9 OB. Ho: Hs9 Ha: H=9 H₂:μ>9 OB. us9 OE. *9 OD. Ho: 9 is the claim OD. The alternative hypothesis Ha: #9 is the claim O E. The null hypothesis Ho: 29 is the claim. O F. The null hypothesis Ho: μ = 9 is the claim OC. μ29 OF. μ9 Ha:μs9 ⒸF. Ho: 29 H₂:μ<9
Sean thinks that he has a special relationship with the number 6. In particular, Sean thinks that he would roll a 6 with a fair 6-sided die more often than you'd expect by chance alone. Suppose pis the true proportion of the time Sean will roll a 6. (a) State the null and alternative hypotheses for testing Sean's claim. (Type the symbol "p" for the population proportion, whichever symbols you need of "", "-", "not =" and express any values as a fraction e.g. p = 1/3) Ho= Ha (b) Now suppose Sean makes n = 30 rolls, and a 6 comes up 6 times out of the 30 rolls. Determine the P-value of the test, giving your answer to 4 decimal places. Please use 3 decimal places in your test statistic when finding the P-value. P-value = ⠀⠀ (c) Answer the question: Does this sample provide evidence at the 5 percent level that Sean rolls a 6 more often than you'd expect? (Type: Yes or No) 4
A researcher conducts a hypothesis test using a sample from an unknown population. If the t statistic has df = 30, how many individuals were in the sample?
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A student wishes to see if at her work place the proportion females who do not have children is less than the proportion of males who do not have children. To test her claim she randomly selects 358 females 60 did not have children. She then randomly selects 322 males workers and out of them 59 did not have children. Test her claim at œ=0.05 to see if she was right. The correct hypotheses are: О Но: рr рм(claim) Ο H: pF PM НА: PF < рм (claim) O Ho:PF На: рr + рм (claim) = PM Since the level of significance is 0.10 the critical value is -1.282 The test statistic is: (round to 3 places) The p-value is: (round to 3 places) The decision can be made to: O reject Ho O do not reject Ho

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For the following conjecture, state the null and alternative hypothesis. 92% of teenagers have never smoked cigarettes. The null hypothesis is Ho The alternative hypothesis is H₁ <口 * X > Р ローロ S