Please help. State the hypothesis and identify the critical and z-values. ### Home Runs Analysis**Objective:** We aim to determine if there is a significant difference in the mean number of home runs hit by players from the National League and the American League. To do this, we will use the P-value method with an alpha level ($\alpha$) of 0.10, and perform the analysis using a TI-83 Plus/TI-84 Plus calculator.#### Data Samples:- **National League:** 18, 4, 2, 9, 6, 5- **American League:** 18, 12, 25, 4, 24, 12You can also export the data to Excel for further analysis by clicking the "Send data to Excel" button.#### Instructions:Use $\mu_1$ for the mean number of home runs from the National League. Assume the variables are normally distributed and the variances are unequal.### Hypothesis Testing:**Step 1: State the Hypotheses**- **Null Hypothesis ($H_0$):** There is no difference in the mean number of home runs between the National League and the American League.- **Alternative Hypothesis ($H_1$):** There is a difference in the mean number of home runs between the National League and the American League.**Step 2: Identify the Correct Test**- **Test Type:** Two-sample t-test for unequal variances (Welch’s t-test).### Interactive Component:1. **Question:** State the hypotheses and identify the claim with the correct hypothesis. - **$H_0$:** (Choose one) - **$H_1$:** (Choose one) The hypothesis test is a (Choose one) test.2. **Answer Submission:** Complete the four parts of the hypothesis test to interpret the results.**Part 0 / 4**: You will start with a score of 0 and progress as you correctly identify and input the required information. Each part will guide you through the process systematically, ensuring a thorough understanding of the hypothesis testing involved.This interactive approach helps you practice and understand the application of hypothesis testing in real-world scenarios, specifically in comparing means from two different samples with potentially unequal variances.

From the given information we conduct Hypothesis test.

Answered: Home Runs Two mples of Hai Baseball…

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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A researcher selects a sample and administers a treatment for anxiety to the individuals in the sample. If the sample is used for a hypothesis test, what does the alternative hypothesis (H1) put forth about the treatment? Group of answer choices The treatment has no effect on anxiety. The treatment adds a constant to each anxiety score. The treatment multiplies each anxiety score by a constant. The treatment has an effect on anxiety.
The ACME golf ball company believes they have created a golf ball that will travel 25 yards further than the top brand--Brand X. To test this, they recruited 40 professional golfers and had each golfer drive the ACME ball and measure the distance, then drive Brand X's ball and measure the distance. Which hypothesis test is most appropriate to use in this scenario? ● Two-sample t-test Paired t-test Two proportions test Multiple linear regression
Find the P-value of z-score (3.55) if doing a two-tail hypothesis test.
(Upload the picture of your solutions. Follow the steps in Test of Hypothesis including your conclusion and round off the critical value and test statistic into 4 decimal places) STEPS: Formulate a null hypothesis (Ho) and the alternative hypothesis (H ). Set the level of significance. Identify the type of statistical test as either one tailed or two tailed test. Determine the tabular value for the test. (Z, t, Chi-square, f) Compute for the required statistical test value. PROBLEM: Amstat News (December 2004) lists median salaries for associate professors of statistics at research institutions and at liberal arts and other institutions in the United States. Assume a sample of 200 associate professors from research institutions having an average salary of $70,750 per year with a standard deviation of $6000. Assume also a sample of 200 associate professors from other types of institutions having an average salary of $65,200 with a standard deviation of $5000. Test the hypothesis that…
A research report includes the statement, “ z = 1.18, p > .05.” What happened in the hypothesis test? The obtained sample mean was very likely if the null hypothesis is true, so H0 was rejected. The obtained sample mean was very unlikely if the null hypothesis is true, and the test failed to reject H0. The obtained sample mean was very unlikely if the null hypothesis is true, so H0 was rejected. The obtained sample mean was very likely if the null hypothesis is true, and the test failed to reject H0.
Read through this scenario and look at the data that was collected. State the null and all possible research hypotheses. Review the results below (I used SPSS) and answer the questions that follow. Scenario: A researcher wants to see if gender and / or income affects the total amount of help given to a stranger who is sitting on the side of a busy road with a sign asking for help. The independent variables are gender, income, and the interaction of gender and income. The dependent variable is total help. He wants to know if one or both factors – or the interaction of the two - affects the total amount of help offered. Because he is analyzing two independent variables (gender and income), he used a factorial ANOVA. His results show the main effect of each of the independent variables on the dependent variable (total help) and the interaction effect. The researcher is using a 95% confidence interval which means that he wants to be at least 95% sure that his independent variables…
Describe an experimental hypothesis and explain which post hoc test you would use if you find a significant overall effect. Include in your explanation the pros and cons of each test in making your decision.
Please help me finish this problem by answering z , p value and decide to reject or not
When computing a t-test, it is important to distinguish between directional and nondirectional hypotheses as the direction will determine the rejection regions. Describe how the rejection regions would differ according to the type of hypothesis you would use.
Answer part d only
← Highway safety engineers test new dynamic message signs, hoping that increased brightness will make them more visible to drivers. Volunteers drive through a test course with several of the new- and old-style signs and rate which kind shows up the best. Complete parts a through f. a) Is this a one-tailed or a two-tailed test? Why? OA. This is a one-tailed because the interest is only in whether the new design is more visible. If it's less visible, it does not matter how much less visible it is. B. This is a two-tailed test because the interest is whether the visibility is different, not how the visibility is different. OC. This is a one-tailed test because there is only one sample proportion. D. This is a two-tailed test because all dynamic message signs are either visible or not visible. b) In this context, what would a Type I error be? OA. A Type I error is failing to decide that new-style signs are more visible when, in fact, they are. OB. A Type I error is failing to decide that…
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