**Hypothesis Testing**A random sample of Americans were categorized according to their happiness and their income level. The results are found below. Perform the hypothesis test to determine if there is a relationship between income and happiness using a 1% level of significance.| Income Level | Happy | Unhappy | Total ||-----------------|-------|---------|-------|| Low income | 390 | 337 | 727 || Middle income | 952 | 423 | 1375 || High income | 604 | 131 | 735 || Total | 1946 | 891 | 2837 |**Hypotheses**- **H0**: Income and happiness are [Select] - **HA**: Income and happiness are [Select]**Expected Values**- The number of low-income people who are expected to be happy is [Select]- The number of middle-income people who are expected to be unhappy is [Select]- The number of high-income people who are expected to be unhappy is [Select]**Test Statistics**- The test statistic is [Select].- The degrees of freedom to use is [Select]. This image appears to show a portion of a form related to a statistical analysis of income and happiness. ### Table DataThe table shows groups and corresponding figures:- **High Income:** 604, 131, 735- **Total:** 1946, 891, 2837### Hypotheses- **H0 (Null Hypothesis):** Income and Happiness are [Select]- **HA (Alternative Hypothesis):** Income and Happiness are [Select]### Questions for Analysis- The number of low-income people who are expected to be happy is [Select]- The number of middle-income people who are expected to be unhappy is [Select]- The number of high-income people who are expected to be unhappy is [Select]### Statistical Values- The test statistic is [Select]- The degrees of freedom to use is [Select]- The critical value is [Select]- The p-value is closest to [Select]### Conclusion- The conclusion is [Select]- Therefore, the income and happiness are [Select]### InstructionsComplete the form by selecting the appropriate options for each statement to infer the relationship between income levels and happiness based on statistical data.This form might be part of a larger educational task aimed at teaching statistical methods, such as hypothesis testing and interpretation of data results.

H0: Income and Happiness are independent HA: Income and Happiness are dependent

Answered: A random sample of Americans were…

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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Studies indicate that excessive noise at night can affect weight gain. One study of n = 127 rats compared the weight gain of rats exposed to excessive noise at night and the weight gain of rats in a quiet night environment. Sample statistics for the study are given in the table below. Use this information to determine if there is significant evidence that weight gain of rats exposed to excessive noise at night is different on average than weight gain of rats in a quiet night environment. Excessive noise at night environment (Group 1) Quiet night environment (Group 2) Sample mean (grams) 22.4 19.9 Sample standard deviation (grams) 6.4 3.8 Observations/Sample size 69 58 The p-value for this test is 0.0086. Make a decision and conclusion for the hypothesis test in context. Use a 5% significance level (α = 0.05).
A researcher conducts a study to investigate whether the obesity rate rural communities differ from the obesity rate from the population at large. He gathered a sample of adults from a small community, measured their weight, and compared it to the population average. What statistical test is appropriate for this study and why?
Studies indicate that excessive noise at night can affect weight gain. One study of n = 127 rats compared the weight gain of rats exposed to excessive noise at night and the weight gain of rats in a quiet night environment. Sample statistics for the study are given in the table below. Use this information to determine if there is significant evidence that weight gain of rats exposed to excessive noise at night is different on average than weight gain of rats in a quiet night environment. Excessive noise at night environment (Group 1) Quiet night environment (Group 2) Sample mean (grams) 22.4 19.9 Sample standard deviation (grams) 6.4 3.8 Observations/Sample size 69 58 Is this a one-tailed or a two-tailed test? Explain in one or two sentences.
A researcher gathered a sample of participants who volunteered for a studying of phobias. She measured anxiety level of participants as they viewed photos of spiders and again when they viewed puppies. Which statistical test is appropriate for this study and why?
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Lynn University wants to examine whether students display better academic performance in class versus online. They have collected GPAs of two different samples of students, a sample from classes that take place in-person and a sample from classes that take place online. The data set is below. They predict that in-class students perform better than online students. GPA's In Class GPA Online GPA 4.0 4.0 3.5 2.2 3.7 3.3 3.5 3.7 2.0 2.5 3.2 3.8 3.3 3.8 What type of t-test should we use for this research question? Group of answer choices a) One sample b) Independent samples c) Paired Samples
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According to a report on consumer fraud and identity theft, 22% of all complaints for a year were for identity theft. In that year, Wisconsin had 787 complaints of identity theft out of 3498 consumer complaints. Does this data provide enough evidence to show that Wisconsin had a higher proportion of identity theft than 22%? Test at the 1% level. State the hypotheses. Ho: p? v Ha: p|? v Calculate the test statistic. Round to four decimal places. Calculate the standardized test statistic. Round to three decimal places. Z = Find the p-value. Round to four decimal places. p-value = State your decision. O Since the p-value is less than .01, reject Họ. O Since the p-value is greater than .01, reject Ho. O Since the p-value is less than .01, fail to reject Ho. O Since the p-value is greater than .01, fail to reject Ho. Interpret the results. O At the 1% level of significance, there is enough evidence to show that the proportion of complaints due to identity theft in Wisconsin is not equal to…
Need help with C, F and G please!
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A random sample of Americans were categorized according to their happiness and their income level. The results are found below. Perform the hypothesis test that there is a relationship between income and happiness using 1% level of significance.