a) Which of the following correctly specifies the null hypothesis? [select all that apply]b) Which of the following correctly specifies the alternative hypothesis? [select all that apply]c) Given the p-value you calculated (p ### Hypothesis Testing in Teacher Salaries#### Context:A researcher investigates salaries of elementary school teachers. Among a random sample of 100 women teachers, the mean yearly salary is $57,600 with a standard deviation of $1,000. For a sample of 225 men teachers, the mean salary is $58,800 with a standard deviation of $1,100. Conduct a hypothesis test to assess the researcher’s claim.#### Question:Given the p-value you calculated, which of the following conclusions are correct for this test? (Select all that apply)1. [ ] Because $ p > \alpha $, we fail to reject the null hypothesis.2. [ ] There is support for the alternative hypothesis.3. [ ] There is no support for the alternative hypothesis.4. [ ] Because $ p < \alpha $, we can reject the null hypothesis.5. [ ] This test suggests the researcher's hypothesis is incorrect.6. [ ] This test supports the researcher's hypothesis.#### Explanation of Choices:- **$ p > \alpha $:** If the p-value is greater than the significance level $ \alpha $, the null hypothesis cannot be rejected.- **$ p < \alpha $:** If the p-value is less than the significance level $ \alpha $, the null hypothesis is rejected.- **Support for Hypotheses:** Depending on whether the null hypothesis is rejected or not, either the null or alternative hypothesis is supported.Choose accordingly based on your calculated p-value and significance level. **Scenario:** A researcher believes that elementary school teachers who are women earn less than their male counterparts. She collects data from elementary school teachers and finds that among a random sample of 100 teachers who are women, the mean yearly salary is $57,600 with a standard deviation of $1,000. The mean salary for a random sample of 225 elementary school teachers who are men is $58,800 with a standard deviation of $1,100. Conduct a hypothesis test to assess the researcher’s claim.**Question:** Which of the following correctly specifies the **null** hypothesis? (select all that apply)- [ ] $ H_0 : \mu_m - \mu_w = 0 $- [ ] There is no difference in the mean salaries of men and woman elementary school teachers.- [ ] There is a difference in the mean salaries of men and woman elementary school teachers.- [ ] $ H_0 : \mu_m - \mu_w \neq 0 $**Question:** Which of the following correctly specifies the **alternative** hypothesis? (select all that apply)- [ ] There is no difference in the mean salaries of men and woman elementary school teachers.- [ ] There is a difference in the mean salaries of men and woman elementary school teachers.- [ ] $ H_0 : \mu_m - \mu_w \neq 0 $- [ ] $ H_0 : \mu_m - \mu_w = 0 $

Given: Male Sample size (n1) = 100 Sample mean x¯1=57600 Sample standard deviation (s1) = 1000…

Answered: teachers and finds that among a random…

teachers and finds that among a random sample of 100 teachers who are women, the mean yearly salary is $57,600 with a standard deviation of $1,000. The mean salary for a random sample of 225

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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Determine the Type l error if the null hypothesis, Ho, is: an electrician claims that no more than 10% of homes in the city are not up to the current electric codes. Select the correct answer below: 0 The electrician thinks that no more than 10% of homes in the city are not up to the current electrical codes when, in fact, there really are no more than 10% that are not up to the current electric codes. O The electrician thinks that more than 10% of the homes in the city are not up to the current electrical codes when, in fact, there really are more than 10% of the homes that do not meet the current electric codes. O The electrician thinks that more than 10% of the homes in the city are not up to the current electrical codes when, in fact, at most 10% of the homes in the city are not up to the current electric codes. 0 The electrician thinks that no more than 10% of homes in the city are not up to the current electrical codes when, in fact, more than 10% of the homes are not up to the…
a) Carefully define the null and alternative hypotheses of the ?2 test of the above table. b) Find the missing values ‘*’, ‘**’, ‘***’ ??, ??? c) What is the conclusion of this test? Give reasons for your answer.
A researcher is interested in whether people are more or less likely to enjoy popcorn when they are watching TV versus watching a movie. The researcher recruits 12 participants and randomly assigns them to eat popcorn either while watching T or while watching a movie. Then, the researcher measures now much each participant enjoyed the popcorn on a scale from 1 to 10. The researchers' results are shown below: Using the appropriate hypothesis test and the six steps of hypothesis testing, see what the researcher should conclude about the effect of watching television versus watching a movie on people's enjoyment of popcorn. Construct a sampling distribution of means representing the null hypothesis. Specify the sampling distribution's mean and standard error 5. Using a two-tailed alpha of .05 (a = .05), determine the critical values 6. Calculate the test statistic 7. State whether you reject or fail to reject the null hypothesis 8. Calculate and report a measure of effect size . 9. Based…
Business Non response questionnaires were mailed to 300 randomly selected businesses in each of three categorical sizes. The following data shows the number of responses. Size of Company Response No Response Small 175 125 Medium 145 155 Large 120 180 Test the claim that the size of the company is independent of the company`s response State the null and alternative hypothesis Give the p-value Give a conclusion for the hypothesis test
In Bloomington, they randomly sampled 260 female voters, and 190 male voters. They collected data on the respondent's opinion on an environmental bond issue. We want to know whether there is good evidence that one's gender influences whether a person is for or against the bond issue. Use α = 0.05. For Bond Issue Against Bond Issue Total 52 260 17 190 69 450 Men Women Total a) What is the correct null hypothesis? O Ho: P₁ P2 P3 P4 O Ho: P₁ P2 = P3 P4 O Ho: Gender and Bond Issue Attitudes are Independent. O Ho: Gender and Bond Issue Attitudes are dependent. b) Fill in the expected values, round answers to 1 decimal place. For Bond Issue Against Bond Issue Expected Values Men Women c) Chi Square Test Statistic = 208 173 381 Degree's of Freedom = d) The p-value = 1 decimal place 3 decimal places e) What is the correct conclusion? O Because the p-value is greater than alpha, we reject the Ho. There is statistical evidence that attitudes on the bond issue are dependent on gender. O Because…
A researcher is interested in whether people are more or less likely to enjoy popcorn when they are watching TV versus watching a movie. The researcher recruits 12 participants and randomly assigns them to eat popcorn either while watching T or while watching a movie. Then, the researcher measures now much each participant enjoyed the popcorn on a scale from 1 to 10. The researchers' results are shown below: Using the appropriate hypothesis test and the six steps of hypothesis testing, see what the researcher should conclude about the effect of watching television versus watching a movie on people's enjoyment of popcorn. 1. What is the appropriate test to use ? 2. List the test's assumptions You do NOT have to test the assumptions. 3. What are the null and alternative hypotheses ? 4. Construct a sampling distribution of means representing the null hypothesis. Specify the sampling distribution's mean and standard error 5. Using a two-tailed alpha of .05 (a = .05), determine the…
For the next items, identity the appropriate statistical test that will be utilized in hypothesis testing. SE T- test T- test (one factor/sample) (Dependent) (Independent) T-test F- Test (Standard Error)
In a significance test, if α is less than the p-value,_________________. a) accept the alternative hypothesis. b) reject the alternative hypothesis. c) fail to reject the null hypothesis. d) run the test again because a type I error has been made. e) standard error