**Study Analysis: Display of the American Flag on the Fourth of July****Research Question:**Are Republicans less likely than Democrats to display the American flag in front of their residence on the Fourth of July?- **Survey Results:** - 409 of the 660 Republicans surveyed display the flag. - 472 of the 687 Democrats surveyed display the flag.**Significance Level:**- Conduct analysis at the α = 0.05 level of significance.**Study Steps:**1. **Statistical Test Selection:** - Decide on the appropriate statistical test to compare the proportions of flag display between Republicans and Democrats.2. **Hypotheses Formulation:** - **Null Hypothesis (H₀):** - Proposed statement regarding population parameters (Choose appropriate options and enter decimals). - **Alternative Hypothesis (H₁):** - Contradictory proposal to the null hypothesis (Choose appropriate options and enter decimals).3. **Calculate Test Statistic:** - Compute the value of the test statistic, showing the answer to three decimal places.4. **Determine the P-value:** - Calculate the p-value, showing the answer to four decimal places.5. **P-value Comparison:** - Analyze if the p-value is greater than, less than, or equal to α.6. **Conclusion:** - Based on the comparison, determine whether to reject or fail to reject the null hypothesis. This analysis will help determine if there is a statistically significant difference in the likelihood of displaying the American flag between Republicans and Democrats on the Fourth of July. Sure, here is the transcription formatted for an educational website:---### Statistical Analysis on the Display of the American Flag#### f. Final Conclusion- **Option 1**: The results are statistically insignificant at α = 0.05, so there is insufficient evidence to conclude that the population proportion of Republicans who display the American flag in front of their residence on the Fourth of July is less than the population proportion of Democrats who display the American flag in front of their residence on the Fourth of July. - **Option 2**: The results are statistically insignificant at α = 0.05, so we can conclude that the population proportion of Republicans who display the American flag in front of their residence on the Fourth of July is equal to the population proportion of Democrats who display the American flag in front of their residence on the Fourth of July. - **Option 3**: The results are statistically significant at α = 0.05, so there is sufficient evidence to conclude that the proportion of the 660 Republicans who displayed the American flag in front of their residence on the Fourth of July is less than the proportion of the 687 Democrats who displayed the American flag in front of their residence on the Fourth of July. - **Option 4**: The results are statistically significant at α = 0.05, so there is sufficient evidence to conclude that the population proportion of Republicans who display the American flag in front of their residence on the Fourth of July is less than the population proportion of Democrats who display the American flag in front of their residence on the Fourth of July.#### g. Interpretation of the p-value in the Context- **Option 1**: There is a 0.47% chance that Republicans are at least 6.7% less likely to display the American flag in front of their residence on the Fourth of July. - **Option 2**: There is a 0.47% chance of a Type I error. - **Option 3**: If the percent of all Republicans who display the American flag in front of their residence on the Fourth of July is the same as the percent of all Democrats who display the American flag in front of their residence on the Fourth of July and if another 660 Republicans and 687 Democrats are surveyed, then there would be a 0.47% chance that the percent of the surveyed Republicans who display the American flag in front of their residence on the Fourth of July

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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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. The term sample usually refers to a sample that ___ - Consists of people with chemical dependency problems - Uses the same group of individuals with a before/after measurement - Requires a dependent variable for hypothesis testing - Is randomly selected from two dependent populations
Suppose we are interested in the relationship between individuals’ place of residence (rural versus urban) and their political affiliation (Republican versus Democrat). A random sample of 100 individuals yields the following crosstabulation: Political Affiliation Place of Residence Republican Democrat Rural 21 29 Urban 14 36 a) In words, what is the null hypothesis to be tested? b) Is the relationship between place of residence and political affiliation statistically significant at the .05 level? (Be sure to show the statistics that lead to your decision.) c) Compute and interpret an appropriate measure of association for the relationship between these two variables.
If Miller (2008) wanted to know if males consume significantly more energy drinks than the overall population average, which of the following are the correct hypotheses?
Forbes reports that women in general trust recommendations from Pinterest more than recommendations from any other social network platform. But does trust in Pinterest differ by gender? The following sample data show the number of women and men who state in a recent survey that they trust recommendations made on Pinterest. Sample Trust recommendations made on Pinterest Women 150 117 Men 170 102 We want to determine whether trust in Pinterest differ by gender. Formulate the null and the alternative hypotheses. Use 1 to represent women and 2 to represent men. H0: Ha: Null: p1 – p2 ≥ 0; Alternative: p1 – p2 < 0 Null: p1 – p2 = 0 ; Alternative: p1 – p2 ≠ 0 Null: p1 – p2 ≤ 0; Alternative: p1 – p2 > 0 B. What the test statistics? You probably need to find the pooled proportion first. Pooled proportion is ___________. 0.6 0.78 0.6844 C. Test statistic is ________. 3.46 1.28 66.41 4.36
A poll was conducted to investigate opinions about global warming. The respondents who answered yes when asked if Question Viewer idence that the earth is getting warmer were then asked to select a cause of global warming. The results are given in the accompanying data table. Use a 0.05 significance level to test the claim that the sex of the respondent is independent of the choice for the cause of global warming. Do men and women appear to agree, or is there a substantial difference? Human activity Natural patterns Male 340 164 Female 319 161 Click here to view the chi-square distribution table. Identify the null and alternative hypotheses. The sex of the respondent The sex of the respondent Ho: H₁: Compute the test statistic. Don't know 27 29 and the choice for the cause of global warming are independent. and the choice for the cause of global warming are dependent. (Round to three decimal places as needed.)
The coach of a very popular men’s basketball team claims that the average distance the fans travel to the campus to watch a game is 35 miles. The team members feel otherwise. A sample of 16 fans who travel to games was randomly selected and yielded a mean of M= 36 miles and s= 5 miles. Test the coach’s claim at the 5% (.05) level of significance. one-tailed or two-tailed test: State the hypotheses: df= tα or t value for the critical region = sM = t (test statistic)= Decision:
Given that a-0.01%, find the Zeit if the hypothesis testing is a two tailed test. O a. Zcrit = 3.8906 and -3.8906 O b. Zerit 1.2816 and -1.2816 O c. Zcrit = 3.0902 and -3.0902 O d. Zcrit = 1.6449 and -1.6449
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A poll was conducted to investigate opinions about global warming. The respondents who answered yes when asked if there is solid evidence that the earth is getting warmer were then asked to select a cause of global warming. The results are given in the accompanying data table. Use a 0.01 significance level to test the claim that the sex of the respondent is independent of the choice for the cause of global warming. Do men and women appear to agree, or is there a substantial difference? identify the null and alternative hypothesis What is the test statistic? What is the p-value? What is the critical value? Human activity Natural patterns Don't know Male 343 150 28 Female 356 173 30 Chi-Square Degrees of Freedom 0.995 0.99 0.975 0.95 0.90 0.10 0.05 0.025 0.01 0.005 1 - - 0.001 0.004 0.016 2.706 3.841 5.024 6.635 7.879 2 0.010 0.020 0.051 0.103…
Results on seat belt usage from the 2003 Youth Risk Behavior Survey were published in a USA Snapshot on January 13, 2005. The following table outlines the results from the high school students who were surveyed in the state of Nebraska. They were asked whether or not they rarely or never wear seat belts when riding in someone else's car. Using ? = .05, does this sample present sufficient evidence to reject the hypothesis that gender is independent of seat belt usage? Female Male Rarely or never use seat belt 206 323 Uses seat belt 1220 1157 (a) Find the test statistic. (Give your answer correct to two decimal places.)(ii) Find the p-value. (Give your answer bounds exactly.) ______< p < ________
Children with autism differ significantly from children without autism on tests of varbal ability. repeated measures? or ind. with two tails?

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