A researcher studied iron-deficiency anemia in women in each of two developing countries. Differences in the dietary habits between the two countries led theresearcher to believe that anemia is less prevalent among women in the first country than among women in the second country. A random sample of 2000women from the first country yielded 488 women with anemia, and an independently chosen, random sample of 1700 women from the second country yielded437 women with anemia.Based on the study can we conclude, at the 0.05 level of significance, that the proportion P₁ of women with anemia in the first country is less than theproportion p₂ of women with anemia in the second country?Perform a one-tailed test. Then complete the parts below.Carry your intermediate computations to three or more decimal places and round your answers as specified in the parts below. (If necessary, consult a list offormulas.)(a) State the null hypothesis Ho and the alternative hypothesis H₁.HOPXSHo :OH₁:00"(b) Determine the type of test statistic to use.BIOOSO NO(Choose one)(c) Find the value of the test statistic. (Round to three or more decimal places.)□

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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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A researcher studied iron-deficiency anemia in women in each of two developing countries. Differences in the dietary habits between the two countries led the researcher to believe that anemia is less prevalent among women in the first country than among women in the second country. A random sample of 2400 women from the first country yielded 698 women with anemia, and an independently chosen, random sample of 1700 women from the second country yielded 544 women with anemia.Based on the study can we conclude, at the 0.10 level of significance, that the proportion p1 of women with anemia in the first country is less than the proportion p2 of women with anemia in the second country?Perform a one-tailed test. Then complete the parts below.Carry your intermediate computations to three or more decimal places and round your answers as specified in the parts below. (If necessary, consult a list of formulas.) A. Find the value of the test statistic and round to 3 or more decimal places. (I have…
In a randomized double-blind clinical trials of a new vaccine children were randomly divided into two groups subjects in group one received the new vaccine while subjects in group 2 received a control vaccine after the second dose 112 of 690 subjects in the experimental group 1 experienced drowsiness as a side effect after the second dose 69 of 571 of the subjects in the control group 2 experienced drowsiness as a side effect does the evidence suggest that a higher proportion of subjects in group 1 experience drowsiness as a side effect than subjects in group 2 at 0.05 level of significance? Determine the null and alternative hypothesis? find the test statistic for this hypothesis test? determine the P value for this hypothesis test? do we reject or not reject the null hypothesis and why? State your conclusion?
In randomized, double-blind clinical trials of a new vaccine, rats were randomly divided into two groups. Subjects in group 1 received the new vaccine while subjects in group 2 received a control vaccine. After the second dose, 111 of 670 subjects in the experimental group (group 1) experienced drowsiness as a side effect. After the second dose, 68 of 551 of the subjects in the control group (group 2) experienced drowsiness as a side effect. Does the evidence suggest that a higher proportion of subjects in group 1 experienced drowsiness as a side effect than subjects in group 2 at the α=0.05 level of significance? a. Find the test statistic for this hypothesis test. Round to two decimal places as needed.
Of a random sample of 100 college students, 35 expected to achieve a higher standard of living than their parents, 43 expected a lower standard of living, and 22 expected about the same standard of living as their parents. Do these data present strong evidence that, for the population of students, more expect a lower standard of living compared with their parents than expect a higher standard of living?
A low-level CDC bureaucrat wants to please his boss by gathering evidence that the current government mandated shut down of society is not causing people's mental health to deteriorate, so that it can safely be continued for several years if the expert says is necessary. He pulls a random sample of 1600 citizens, Gathering data on such items as income loss, weight gain, access to toilet paper, our spent binge watching Netflix, and number of injuries caused by household fight, and compiles all this into a significantly-weighted "misery index". The mean misery index from the sample is 99.2; it seems reasonable to use a population standard deviation o=19.1. A. Does this information provide significant evidence (at the 5% level) that the Nationwide mean misery index is less than 100? Set up appropriate null and alternative hypothesis, calculate the appropriate test statistic, find the p-value, and state your conclusion.
In a clinical trial of Nasonex, 300 allergy patients were randomized into two groups, with Group 1 receiving the Nasonex drug (200 mg) and Group 2 receiving a placebo. The experimenter used a 2:1 randomization plan so that more subjects would be assigned to the Nasonex group. One outcome of interest is the incidence rate of headache as a side-effect. Of the 200 patients randomized to the Nasonex group, 52 (or 26%) reported experiencing a headache; and of the 100 patients randomized to the placebo group, only 22 (22%) reported a headache. 1. The makers of Nasonex are concerned that their allergy medication might increase the incidence of headaches. So they would like to assess the claim that the incidence rate of headaches is higher for Nasonex users as compared to placebo. So the null hypothesis is given by H0: p1 - p2 = 0. Select the appropriate alternative hypothesis. Ha: p1 - p2 ≠ 0 Ha: p1 - p2 > 0 Ha: p1 - p2 < 0 2. It seems that the sample sizes of 200…
In randomized, double-blind clinical trials of a new vaccine, infants were randomly divided into two groups. Subjects in group 1 received the new vaccine while subjects in group 2 received a control vaccine. After the second dose, 126 of 387 subjects in the experimental group (group 1) experienced drowsiness as a side effect. After the second dose, 158 of 574 of the subjects in the control group (group 2) experienced drowsiness as a side effect. Does the evidence suggest that a higher proportion of subjects in group 1 experienced drowsiness as a side effect than subjects in group 2 at the α=0.01 level of significance? Verify the model requirements. Select all that apply. A. The sample size is less than 5% of the population size for each sample. B. n1p11−p1≥10 and n2p21−p2≥10 C. The samples are dependent. D. The sample size is more than 5% of the population size for each sample. E. The samples are independent. F. The data come…
According to a research study, people are able to better manage their time when they wear watches than when they use mobile phones or other gadgets to keep track of time. To test this, 300 college students were randomized into a treatment group and a control group. The treatment group was asked to wear a watch every day, and the control group was asked to avoid wearing a watch for 50 days. The number of occasions when students from both groups arrived later than their scheduled time was noted. The results of the experiment showed that the mean score of the treatment group was exactly 15 points less than the mean score of the control group. To test whether the results could be explained by random chance, the researchers created the following table, which summarizes the results of 1,000 randomizations of the data with differences of means rounded to the nearest 5 points. Consider the significance level to be set at 5%, so results lower than 5% can be considered statistically significant.…
In clinical trails of Nasonex, 3774 adult and adolenscent allergy patients 12 years and older were randomly divided into two groups. The patient in group1 (experimental group) received 200 microgram of Nasonex, while the patient in group 2( control group) receiced a placebo. Of the 2103 patients in the experimental group 547 reported headaches as a side effect. Of the 1671 patients in the control group, 368 reported headaches as a side effect. Determine if the proportion of those taking Nasonex who experienced headaches as a side effect differs from that of those taking the placebo who experienced headaches as a side effect. A) state the null and alternative hypothese: B) construct a 95% confidence interval for the difference between these groups round to 4 places. Intervals: C)using intervals, state conclusion in the language of the problem.
A randomized study was performed to determine whether a diet of processed meats causes a higher proportion of incidents of breast cancer. Researchers compared high intake versus low intake diets of processed meats for women with breast cancer and found the following results shown in the two-way table below: Breast Cancer No Breast Cancer Total High Intake processed meat 93 157 250 Low Intake processed meat 67 163 230 Conduct a hypothesis test for this problem, using for the proportion with diet high in processed meat who got breast cancer and for the proportion of women with diet low in processed meat who got breast cancer. PLEASE HELP WITH THE FOLLOWING - Find the p-value. Write generic conclusion. Write conclusion in context.
The technology underlying hip replacements has changed as these operations havebecome more popular (over 250,000 in the United States in 2008). Starting in 2003,highly durable ceramic hips were marketed. Unfortunately, for too many patients theincreased durability has been counterbalanced by an increased incidence ofsqueaking. The May 11, 2008, issue of the New York Times reported that in one studyof 143 individuals who received ceramic hips between 2003 and 2005, 10 of the hipsdeveloped squeaking.a. Calculate a lower confidence bound at the 95% confidence level for the trueproportion of such hips that develop squeaking.b. Interpret the 95% confidence level used in (a).
Historically, the proportion of people who trade in their old car to a car dealer when purchasing a new car is 48%. Over the previous six months, in a sample of 115 new car buyers, 46 have traded in their old car. To determine (at the 10% level of significance) whether the proportion of new car buyers that trade in their old car has this is statistically significantly decreased, what can you conclude concerning the null hypothesis? A) reject the null hypothesis Or B) fail to reject the null hypothesis

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