A researcher is studying the blood type distribution in a remote community where it's believed 30% have type O blood, 50% have type A, 10% have type B, and 10% have type AB. A sample of 80 residents shows 20 with type O, 40 with type A, 12 with type B, and 8 with type AB. The goal is to determine if the observed data fit the hypothesized distribution using a significance level of \(\alpha = 0.05\).### Hypotheses**Null Hypothesis (\(H_0\)):**- \(p_O = 0.3\), \(p_A = 0.5\), \(p_B = 0.1\), \(p_{AB} = 0.1\)**Alternative Hypothesis (\(H_a\)):**- At least one of the proportions is different.### Observed Counts- **Type O:** 20- **Type A:** 40- **Type B:** 12- **Type AB:** 8### Expected Counts under Null Hypothesis- **Type O:** 24- **Type A:** 40- **Type B:** 8- **Type AB:** 8### Contributions to Test Statistic- **Type O:** 0.667- **Type A:** 0- **Type B:** - **Type AB:** 0 The structure and calculation of the test statistics involve comparing observed counts with expected counts based on hypothesized proportions and determining discrepancies.

Given, A researcher believes that among the residents of a remote community, 30% have type O blood,…

Answered: A researcher believes that among 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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Please review Section 11.1. Are you an impulse shopper? A survey of 1000 grocery shoppers indicated that 40% of males and 57% of females make an impulse purchase every time they shop. Assume that the survey consisted of 500 males and 500 females. Let group 1 be the males and let group 2 be the females.Ho : pie = pieH1 : pie /= pieCalculate the test statistic: (Round to three decimal places as needed.)Determine the critical value: (Round to three decimal places as needed.)State the Conclusion:
People who get angry easily tend to have more heart disease. That is the conclusion of a study that followed a random sample of 12,986 people from three locations for about four years. All subjects were free of heart disease at the beginning of the study. The subjects took the Spielberger Trait Anger Scale test, which measures how prone a person is to sudden anger. Displayed are data for the 8474 people in the sample who had normal blood pressure. CHD stands for "coronary heart disease," which includes people who had heart attacks and those who needed medical treatment for heart disease. CHD No C HD Total Low an ger 53 3057 3110 Moderate anger 110 4621 4731 High a nger 27 Tota 1 633 190 606 8284 8474 O Macmillan Learning SOLVE: Give the value of the chi-square test statistic. Give your answer to at least two decimal places. x² = SOLVE: Give the number of degrees of freedom. df =
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A professor believes that, in recent years, the ethnic composition of the students in the university has changed. According to the data collected a few years ago, there were 70% of students from European origins, 20% Asian origins, 5% Indigenous, and 5% Others. To test his belief, he randomly sampled 500 students and recorded their ethnicity as shown below: European 318 Asian 132 Indigenous 25 Others 25 The professor conducted a chi-squared goodness-of-fit test. Which of the following is the obtained chi-squared statistic for this test? A. 5.1443 B. 8.7898 C. 0.2288 D. 13.1657 E. 10.9777
You recently had a cholesterol panel completed and see that the results for your High Density Lipoprotien (HDL) level comes back with z = -1.7 among people of your stature. Your doctor is going to review the results with you but based on what you know about z-scores you can infer: a.The average person of your stature is 1.7 deviations below you. b.Your HDL level is slightly below average. c.The score is negative so this will be good news. d.Your HDL level is extremely low for a person of your stature.
1) If the data is IQ test scores, an individual with a negative z-score what IQ level would he have? 2
A researcher surveyed 12 men who lost their fathers earlier in their lives. His survey included the age of the subjects when their fathers died and their confidence that they would someday be happily married themselves (100 point scale – higher score = more confidence). The results are shown below. Mx=15 My =60 SSx=348 SSy=5198 SPxy=933 Age Confidence Rating 12 34 8 30 11 89 21 69 15 55 7 38 18 78 23 66 22 89 19 79 9 35 15 58 Can you estimate a confidence rating for a man who lost his father at 30 years old? Why or why not?
A random sample of 10 young men was taken and the heart rate (HR) of each young man was measured before and after taking a cup of caffeinated coffee. The results are (beats/min.) Use the information in the table to answer the questions.Subject HR before HR after1 68 74 2 64 68 3 52 60 4 76 72 5 78 76 6 62 68 7 66 72 8 76 76 9 78 8010 60 64a) Does caffeinated coffee have any effect on the heart rate of young men? Let level α = 0.05.b) As a public health specialist, write a brief report explaining your results above
he data on the number of chocolate chips per bag for 42 bags of Chips Ahoy! cookies were obtained by the students in an introductory statistics class at the United States Air Force Academy in response to the Chips Ahoy! 1,000 Chips Challenge sponsored by Nabisco, the makers of Chips Ahoy! Use the data collected by the students to answer the following questions and to conduct the analyses required in each part. They found ¯xx¯ = 1261.6 and s = 117.6 a. Determine a 95% confidence interval for the mean number of chips per bag for all bags of Chips Ahoy! cookies. ≤μ≤≤μ≤ b. Interpret your result in words. c. Can you conclude that the average bag of Chips Ahoy! Cookies contain at least 1000 chocolate chips? yes no

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A researcher believes that among the type A blood, 10% have type B blood a residents and finds that 20 had type 0 blood. Do the data follow the hypothesized d your answers to three decimal places, Null hypothesis: Ho: Po = 0.3, PA = 0.5, PB