Childhood obesity: A national health survey weighed a sample of 532 boys aged 6-11 and found that 89 of them were overweight. They weighed a sample of469 girls aged 6-11 and found that 71 of them were overweight. Can you conclude that the proportion of boys who are overweight differs from the proportion ofgirls who are overweight? Let P₁ denote the proportion of boys who are overweight and let p₂ denote the proportion of girls who are overweight. Use thea = 0.10 level of significance and the critical value method with the table.(a) State the appropriate null and alternate hypotheses.(b) Compute the value of the test statistic.(c) State a conclusion at the a = 0.10 level of significance.Part 1 of 5(a) State the null and alternate hypotheses.Ho: P₁ = P₂H₁: P₁ P₂This hypothesis test is a two-tailed ▼test.Part: 1 / 5Part 2 of 5Find the critical value(s). Round the answer(s) to at least two decimal places. If there is more than one critical value, separate them with commas.Critical value(s):X

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Answered: Childhood obesity: A national health…

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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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
Professors collected data consisting of eye color and gender of statistics students. Among 912 male students, 276 had blue eyes. Among 1102 female students, 372 had blue eyes. Use a 0.01 significance level to test the claim that the proportions of blue eyes are the same for males and females. Complete parts (a) through (c) below. Consider the first sample to be the sample of males and the second sample to be the sample of females. O D. Ho: P₁ = P₂ H₁: P₁ P₂ Identify the test statistic. Z= -1.67 (Round to two decimal places as needed.) Identify the P-value. P-value = 0.095 (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? O E. Ho: P₁ P₂ H₁: P₁ P₂ The 99% confidence interval is -0.089 (P₁-P₂) < 0.019. (Round to three decimal places as needed.) What is the conclusion based on the confidence interval? F₁ H₂= P₁ = P₂ H₁: P₁ P₂ The P-value is greater than the significance level of α = 0.01, so fail to reject the null hypothesis. There is not…
In a study conducted by the U.S. Department of Health and Human Services, a sample of 546 boys aged 6–11 was weighed, and it was determined that 89 of them were overweight. A sample of 508 girls aged 6–11 was also weighed, and 74 of them were overweight. Can you conclude that the proportion of boys who are overweight differs from the proportion of girls who are overweight? Find the P-value and state a conclusion. Round the answer to four decimal places.
Researchers conducted two surveys about teens are their use of social media. The first survey asked a random sample of 800 U.S. teens about their use of Instagram. A second survey asked the same questions to a random sample of 2253 Canadian teens. In these two studies, 73% of U.S. teens and 88% of Canadian teens said that they use Instagram. Use these results to answer the following questions about the proportion of U.S. and Canadian teens that use Instagram. Is there a statistically significant difference between the use of social media by U.S. teens and Canadian teens? No, there is no difference between the proportion of U.S. teens that use Instagram and the proportion of Canadian teens that use Instagram because both the lower limit and the upper limit of the confidence interval are negative values. Yes, the proportion of U.S. teens that use Instagram is significantly less than the proportion of Canadian teens that use Instagram difference because both…
In a study researching how donating to charity can affect a person's happiness, 96 participants were given $5 a day for one week. Each participant was randomly assigned to one of two groups. Those assigned to the first group were asked to spend the money on themselves, and those assigned to the second group were asked to donate the money to charity. At the end of the week, all of the participants were asked to rate their overall level of happiness on a scale from 0 to 100, with higher scores indicating greater levels of happiness. Which of the following are the appropriate null and alternative hypotheses to test whether the sample data provide convincing statistical evidence that donating to charity results in greater happiness than spending on oneself, on average? Ho self- "charity = 0 (A) Ha self charity >0 Ho self Mcharity=0 (B) Ha self charity 0 (E) Ha self = Mcharity <0
In a survey of working parents (both parents working), one of the questions asked was "Have you refused a job, promotion, or transfer because it would mean less time with your family?" Two hundred men and 200 women were asked this question. Twenty-nine percent of the men and 24% of the women responded "yes." a. Based on this survey, can we conclude that there is a difference in the proportion of man and women responding “yes" at the 0.05 level of significance? (i) State the null and alternative hypotheses (ii) What test statistics would you use and why? (iii) Compute the value of the test-statistic. (iv) What rejection region would you use? (v) State your conclusion in the context of the problem. b. What P-value is associated with this test? Based on this P-value, could H. be rejected at significance level 0.08? c. Find a 95% confidence interval for the difference between the proportion of men and women responding "yes." Based on this confidence interval, would your conclusion be the…
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A substance abuse counselor wants to demonstrate the effect of situational stress on alcohol cravings. He recruits two groups of men who are similar in respect to history of alcohol use and demographic variables. He divides them in to two groups. In one group(n=11), the men are exposed to a stressful situation and then asked to complete a measure rating their alcohol cravings on a scale from 0-10, where 0 representsno cravings and 10 represents intense cravings. In the second group (n=10), the men are exposed to a neutral situation and asked to complete the same measure. What test and graph should I create to find out if a stressful situation result in more intense alcohol cravings than a non-stressful situation?
Researchers have postulated that, due to differences in diet, Japanese children have a lower proportion of children with high blood cholesterol levels than U.S. children. Suppose that the proportion of high blood cholesterol level of U.S. children is known to be 0.78. Ho: ??:
The percent of the population that is left-handed has historically been 10%. In a random sample of n=500 people there are 58 that are left-handed. The researcher would like to test the hypothesis that the percent of the population that is left-handed has increased. Determine the value of the test statistic
As part of the National Health Interview Survey, occupational injury data were collected on thousands of American workers. The table summarizes part of the data. Self-employed Employed by others injured 210 4391 Not injured 33724 421502 Total 33934 425893 What’s the relative risk of being injured in self-employed workers versus workers employed by others? Choose from following options. a. 0.2 b. 0.6 c. 0.8
A local authority is going to study the relationship between the size of household and the daily plastic usage consumed by them. The results of a sampling given below in Table 5 indicate some values of X (weight of plastic usage) and Y (the size of household). Table 5: Weight of plastic usage (X) and size of household (Y) X 0.27 1.41 2.19 | 2.83 2.19 1.81 0.85 3.05 Y 2 3 3 4 2 1 5 i) From the above sampling, find the value of correlation coefficient r. ii) Using the same sample data set above, conduct the hypothesis testing to know whether the variable X and Y are really correlates using 95% confidence level. iii) Find out if the decision in (ii) may change if you increase the confidence level to 99%.

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