Conduct the hypothesis test and provide the test statistic and the critical value, and state the conclusion.A person randomly selected 100 checks and recorded the cents portions of those checks. The table below lists those cents portions categorized according to the indicated values. Use a 0.05 significance level to test the claim that the four categories are equally likely. The person expected that many checks for whole dollar amounts would result in a disproportionately high frequency for the first category, but do the results support that expectation?| Cents portion of check | Number || ---------------------- | ------- || 0-24 | 30 || 25-49 | 24 || 50-74 | 19 || 75-99 | 27 |Click here to view the chi-square distribution table.The test statistic is [ ]. (Round to three decimal places as needed.) ### Student's t-Distribution Critical Values TableThis table displays critical values from the Student's t-distribution, which are vital for hypothesis testing. The table is structured to show how the critical values change based on degrees of freedom and the chosen significance level.#### Table Layout- **Degrees of Freedom:** Represented in the leftmost column, ranging from 1 to 10.- **Area to the Right of the Critical Value:** These columns represent different significance levels: 0.995, 0.99, 0.975, 0.95, 0.90, and 0.10.Each cell in the table corresponds to a critical value. This value is used to compare against test statistics in hypothesis testing. Specifically, a higher critical value suggests a more stringent significance level.#### Data Description- **Degrees of Freedom 1:** - 0.995: - - 0.99: - - 0.975: 0.001 - 0.95: 0.004 - 0.90: 0.016 - 0.10: 2.706- **Degrees of Freedom 2:** - 0.995: 0.010 - 0.99: 0.020 - 0.975: 0.051 - 0.95: 0.103 - 0.90: 0.211 - 0.10: 4.605- Continued for Degrees of Freedom 3 to 10, showing increasing critical values as the degrees of freedom and the significance level increase.This table aids in determining the statistical significance of test results for varying degrees of freedom and is commonly used in fields such as statistics, data analysis, and experimental research.

Given that: Cent portion of check Number 0-24 30 25-49 24 50-74 19 75-99 27 Level of…

Answered: Conduct the hypothesis test and provide…

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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Last school year, the student body of a local university consisted of 35% freshmen, 24% sophomores, 26% juniors, and 15% seniors. A sample of 300 students taken from this year's student body showed the following number of students in each classification. Freshmen 90 Sophomores 60 Juniors 90 Seniors 60 We are interested in determining whether or not there has been a significant change in the classifications between the last school year and this school year. At 97.5% confidence, the null hypothesis a. should not be rejected b. should be rejected c. was designed wrong d. None of these alternatives is correct.
In the US, 46.2% of all people have type O blood, 39.1% have type A blood, 10.4% have type B blood and 4.3% have type AB blood. A researcher wants to see if the distribution of blood type is different for millionaires. The table below shows the results of a random sample of 3116 millionaires. What can be concluded at the a = 0.01 significance level? a. Complete the table by filling in the expected frequencies. Round to the nearest vwhole number: Frequencies of Blood Type Outcome Frequency Expected Frequency 1434 A 1224 В 310 АВ 148 b. What is the correct statistical test to use? Select an answer V c. What are the null and alternative hypotheses? Ho: Blood type and income are independent. O The distribution of blood type for millionaires is not the same as it is for Americans in general. O The distribution of blood type for millionaires is the same as it is for Americans in general. O Blood type and income are dependent.
In studying the responses to questions on a multiple-choice test, the following sample data are obtained. At the a 0.05 significance level, test the claim that the responses occur with the same frequency. Ho: The responses to the questions occur with the same frequency. H₁: The responses to the questions do not occur with the same frequency. Observed Response Frequency Expected Frequency (0-E)2 E A 6 16.2 8 B 10 16.2 C 24 16.2 D 18 16.2 8 E 23 16.2 a. What is the X2 test-statistic for this data? Round to four decimal places. x²= b. What is the p-value? Round to four decimal places. p-value= c. What would be the conclusion of this hypothesis test? O Fail to reject the hull hypothesis. Reject the null hypothesis. d. What is the final conclusion? O There is sufficient evidence to conclude the test question responses occur with the same frequency. There is sufficient evidence to conclude the test question responses do not occur with the same frequency. O There is not sufficient evidence to…
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The Bureau of Labor Statistics reports that the official unemployment rate for Black people was 10.4% and 4.7% for White people in February 2015. Select all correct answers for this question. O The samples of white and black people are independent. The explanatory variable is the unemployment rate. The response variable is the unemployment rate. The response variable is race.
Another question asked for a ranking of the condition of the road, based on the type of road. For the road types of interstate highway, U.S. highway, state (“M") highway, and local roads, residents were asked to evaluate the current condition, with choices of good, bad, or neutral. Researchers wish to evaluate if there is some relationship between the type of road and the road condition. This is a O Hypothesis test O Confidence interval For One proportion One mean O Paired mean O Difference in two means O Slope for a linear relationship O Chi-square goodness-of-fit O Chi-square test of independence
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Claim: Most adults would erase all of their personal information online if they could. A software firm survey of 475 randomly selected adults showed that 57% of them would erase all of their personal information online if they could. Find the value of the test statistic.
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Need help with C, F and G please!

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