The image contains a question regarding a hypothesis test from a study on dreaming in black and white versus color. The study involves two groups: people over the age of 55 and those under 25. Specifically, it examines the following:### Study Background- **Participants**: - Over age 55: 298 people, of which 69 dream in black and white. - Under age 25: 310 people, of which 12 dream in black and white.- **Objective**: Test the claim that the proportion of people over 55 who dream in black and white is greater than that of those under 25.- **Significance Level**: 0.01### Hypothesis TestThe task is to test the claim using a hypothesis test with the null and alternative hypotheses outlined below:### Hypotheses- **Null Hypothesis (H₀)**: $ p_1 = p_2 $ (Proportions of people dreaming in black and white are equal for both age groups)- **Alternative Hypothesis (H₁)**: $ p_1 > p_2 $ (A greater proportion of people over 55 dream in black and white compared to those under 25)A correct answer is highlighted: $ H₀: p_1 = p_2 $ and $ H₁: p_1 > p_2 $.### Task- Identify the test statistic needed for this hypothesis test.### Additional Features- There is an option to "Clear all" inputs or "Check answer" on the interface.- Functionality to view similar examples and get more help is available.This setup is typical for evaluating differences in proportions between two independent samples using hypothesis testing.

Given data for age of 55: n1 = 298x1 = 69 Given data for age of 25: n2 = 310x2 = 15 The level of…

Answered: A study was conducted to determine the…

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 simple random sample of 30 residents from Seattle is taken to estimate the median income of all Seattle residents.Is this studyA. REPRESENTATIVE?B. NON-REPRESENTATIVE?A sample of professional football players is taken to estimate the mean weight of all adult males.Is this studyA. REPRESENTATIVE?B. NON-REPRESENTATIVE?A telephone survey is conducted during the day in order to determine the chances of a certain candidate winning an election.Is this studyA. REPRESENTATIVE?B. NON-REPRESENTATIVE?Using a sample of 40 patients from a local hospital, researchers measured cholesterol level in an attempt to estimate the mean cholesterol level of U.S. citizens.Is this studyA. REPRESENTATIVE?B. NON-REPRESENTATIVE?
A study claims that the Netherlands has the tallest adults of any country with an average height of 6.14 ft. Trent wants to test this claim. He randomly measures the heights of 31 dutch adults and obtains the following data, in feet: 5.23, 6.6, 5.67, 6.44, 7.39, 6.14, 5.86, 4.09, 5.6, 5.68, 6.13, 5.87, 3.95, 5.61, 5.69, 6.83, 7.45, 6.03, 5.5, 5.75, 6.94, 5.65, 7.64, 2.83, 4.42, 5.5, 6.21, 6.53, 6.75, 6.01, 4.35 Should Trent reject the claim? Step 1: State the hypothesis. ? v = Step 2: Determine the Features of the Distribution of Point Estimates Using the Central Limit Theorem. By the Central Limit Theorem, we know that the point estimates are Select an answer with distribution mean and distribution standard deviation Step 3: Assuming the Claim is True, Find the Probability of Obtaining the Point Estimate. P(? v? v P(?v?
Researchers wondered whether the size of a person's brain was related to the individual's mental capacity. They selected a sample of 3 females and 3 males and measured their MRI counts and IQ scores. The data is reported on the right. Females Males MRI IQ MRI 10 866,664 132 965,355 132 790,620 135 1,001,121 141 856,473 141 1,079,550 135 O Treat the MRI count as the explanatory variable. Compute the linear correlation coefficient between MRI count and IQ for both the males and the females. Do you believe that MRI count and IQ are linearly related? The linear correlation coefficient for females is. The linear correlation coefficient for males is. (Round to three decimal places as needed.) Are MRI count and IQ linearly related? linear The linear correlation coefficient for females is close to ▼so relation exists between MRI count and IQ for females. The linear correlation coefficient for linear relation exists between MRI count and IQ males is close to for males. SO
A middle school wanted to examine if students' sense of school belongingness increased after participating in a two-week after-school program. Thirty students were selected to participate in the after-school program. Prior to completing the program, students completed a measure of school belonging. At the end of the two-week program, students completed another measure of school belongingness. Students' scores before and after the program were then compared. What is the DV? O 30 participants O (before and after) the after school program O Sense of school belonging O the middle school
The CEO of a small company earns $400,000 per year, and the 10 employees each earn $50,000 per year. Which of the measures of central tendency of data ( shown below) is strongly affected by the CEO's salary? why? a) the mean b) the median c) the mode d) none of the above
a) TV stations use ratings to decide which shows to keep or cancel. Therefore, the A. C. Nielsen Company collects data on the TV viewing habits of Americans and publishes the information in Nielsen Report on Television. Suppose that you want to use a paired sample to decide whether the mean viewing times of married men and married women differ; Identify the variable. Identify the two populations. Identify the pairs. Identify the paired-difference variable. Determine the null and alternative hypotheses. Classify the hypothesis test as two tailed, left tailed, or right tailed. (b) State one possible advantage of using paired samples instead of independent samples
In a city with three high schools, all the ninth graders took a Standardized Test, with these results: Number of ninth graders High School Mean score on test Glenwood 77 264 Central City Lincoln High 91 303 70 170 The city's PR manager, who never took statistics, claimed the mean score of all ninth graders in the city was 79.3. Of course, that is incorrect. What is the mean score for all ninth graders in the city? Round to one decimal place. mean of all ninth grader's scores =
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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.
It has been claimed that at a university at least 40% of the students live on campus. In a random sample of 250 students, 90 were found to live on campus. What is the test value for testing the claim at a=.02? O A. - 2.33 B. 1.32 O C. -1.32 O D. - 1.29
). You are interested in investigating if there a difference in mean cholesterol between the four diet groups. What kind of sample and outcome is this?

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