**Instructions for Performing a One-Sample t-Test:**1. **Use a t-table to estimate the P-value:** - Given details: Left-tailed test, sample size \( n = 11 \), and test statistic \( t = -2.074 \). - Guidance is provided to view page 1 and page 2 of the t-table for more details.2. **Estimating the P-value:** - The P-value is determined to be between 0.025 and 0.05.3. **Decision-making based on significance levels:** - **Rejection and Non-rejection of the Null Hypothesis (\( H_0 \)):** - Rejection: \( H_0 \) can be rejected for significance level selections as \( \alpha \leq 0.05 \). - Non-rejection: \( H_0 \) cannot be rejected for significance levels higher than this threshold unless specified. - For certain significance levels, the t-table might not provide enough detail to decide on rejecting \( H_0 \).4. **Dropdown Options:** - The dropdown menus provide various significance levels (\( \alpha \)) for selection, such as \( \alpha \geq 0.01 \), \( \alpha \leq 0.025 \), \( \alpha \leq 0.05 \), etc., which help in determining the specific conditions under which \( H_0 \) can or cannot be rejected.This exercise is designed to help students understand how to utilize a t-table for estimating P-values and making decisions regarding hypotheses in statistical tests. **b.** We can reject \( H_0 \) for \(\_\_\_\_\_\), and we cannot reject \( H_0 \) for \(\_\_\_\_\_\). For significance levels \(\_\_\_\_\_\), the t-table is not sufficiently detailed in order to decide whether to reject \( H_0 \).There is a dropdown menu available with the following options:- \(0.05 < \alpha < 0.10\)- \(0.025 < \alpha < 0.05\)- \(0.01 < \alpha < 0.025\)- \(0.005 < \alpha < 0.01\)

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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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a. What are the null and alternative hypotheses? b. determine the test statistic c. determine the p-value
The p-value for a hypothesis test turns out to be 0.0985. At a 8% level of significance, what is the proper decision? Reject H0H0 Fail to reject H0
Is the proportion of wildfires caused by humans in the south different from the proportion of wildfires caused by humans in the west? 350 of the 519 randomly selected wildfires looked at in the south were caused by humans while 383 of the 500 randomly selected wildfires looked at the west were caused by humans. What can be concluded at the a = 0.01 level of significance? Rectangular Snip a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: Select an answer | (please enter a decimal) Select an answer v Select an answer H1: Select an answer v Select an answer vSelect an answer v (Please enter a decimal) c. The test statistic ? v = (please show your answer to 3 decimal places.)
You wish to test the following claim (Ha) at a significance level of a - 0.005. Ho: P1= P2 Ha: P1 P2 You obtain 9.9 % successes in a sample of size ₁ 455 from the first population. You obtain 7.7% successes in a sample of size n₂ 797 from the second population. Round values for X to the nearest whole number. What is the test statistic for this sample? (Round to three decimal places.) test statistic = What is the p-value for this sample? (Round to four decimal places.) p-value E
If a significance test gives p-value 0.005... A.. the effect of interest is practically significant B...We do have good evidence against the null hypothesis C...we do not have good evidence against the null hypothesis D...the null hypothesis is very likely to be true E.. The margin of error is 0.005
K The display provided from technology available below results from using data for a smartphone carrier's data speeds at airports to test the claim that they are from a population having a mean less than 5.00 Mbps. Conduct the hypothesis test using these results. Use a 0.05 significance level. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. Click the icon to view the display from technology. D iew an example Get more help. 42 W S Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses? OA. Ho: 5.00 Mbps J D. Ho: -5.00 Mbps H₁: - Clear all : - ; X option F11 { [ ? + = 1 I Check answer F12 } ] delete retu
If the p-value of a hypothesis test is equal to 0.035, then the null hypothesis will be rejected for which cases? SELECT ALL THAT APPLY. a. for a significance level of 0.01 b. for a significance level of 0.10 c. for a significance level of 0.05 d. for a significance level of 0.02
Test the claim that the mean GPA of night students is significantly different than 3.3 at the 0.2 significance level. The null and alternative hypothesis would be: Ho:p0.825 H p 3.3 H p 0.825 H p <3.3 H:p 3.3 The test is: right-tailed two-tailed left-tailed Based on a sample of 80 people, the sample mean GPA was 3.33 with a standard deviation of 0.04 The p-value is: (to 2 decimals) Based on this we: Reject the null hypothesis Fail to reject the null hypothesis
The test statistic of z=1.54 is obtained when testing the claim that p=0.723. a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. Find the P-value. c. Using a significance level of a=0.10, should we reject H0 or should we fail to reject H0?
Mitchell works in the produce section at a small local supermarket and would like to test whether the proportion of apples people purchase is the same for each season, using a significance level of 0.05. He analyzes the apple purchases each season for a year and records his findings in the following table. Season Spring Summer Fall Winter Total # of apples purchased 1023 1023 1066 1151 4263 (a) In performing this statistical test, state the hypotheses. H0: the observed number of apples people purchased is the same for each season vs. HA: the observed number of apples people purchased is not the same for each season H0: the distribution of apples people purchased is not the same for each season vs. HA: the distribution of apples people purchased is the same for each season H0: the proportion of customers is the same each season vs. HA: the proportion of customers is not the same each season H0: the total number of apples people purchased is not the same for each season vs. HA:…
Assume a significance level of a = 0.05 and use the given information to complete parts (a) and (b) below. Original claim: More than 58% of adults would erase all of their personal information online if they could. The hypothesis test results in a P-value of 0.1921. a. State a conclusion about the null hypothesis. (Reject Ho or fail to reject Ho.) Choose the correct answer below. O A. Reject Ho because the P-value is greater than a. O B. Reject Ho because the P-value is less than or equal to a. O C. Fail to reject Ho because the P-value is less than or equal to a. O D. Fail to reject Ho because the P-value is greater than a. b. Without using technical terms, state a final conclusion that addresses the original claim. Which of the following is the correct conclusion? O A. There is sufficient evidence to support the claim that the percentage of adults that would erase all of their personal information online if they could is more than 58%. O B. There is not sufficient evidence to support…

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