1.5ASAP ACTIVITY 1eatioqyd avitanr9tle bax lHun sdi stslumoAFormulate the alternative and null hypothesis.1. A doctor claims that only 10% of all patients exposed to a certain amount of radiation will feelill effècts. If in random sample, 5 of 18 patients exposed to such radiation feel some ill effects,test the doctor's claim at 0.01 level of significance.Solution:Step 1:Formulate the null and alternative hypothesesHo:На:9ulev tesi adi suqmoƆnoigs1 noitɔoja1 sdi weid

Given that Sample size n =18 Favorable cases x =5 Sample proportion p^=x/n Population proportion…

Answered: ACTIVITY 1 Formulate the alternative…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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What is an experiment?
A company has just developed a new antibiotic. 2 percent of children taking competing antibiotics experience a headache as a side effect. A researcher believes that the proportion of children taking the new antibiotic who experience a headache as a side effect is more than 0.02. We know that the null hypothesis is H0 : p = 0.02 and the alternative hypothesis is H1 : p > 0.02. Suppose that the sample evidence indicates thata. the null hypothesis is rejected. State the conclusion.b. the null hypothesis is not rejected. State the conclusion.
A researcher selected a sample of 268 former student athletes from a list of graduates of a large university. A total of 14% of the sample of athletes had earned graduate degrees as compared to 17% of all graduates. Is the difference statistically significant? Use α=.01. Be sure to use the five-step model in conducting the hypothesis test.
A random sample of 15 families representing three social classes has been observed for the frequency with which the parents administer physical punishment to the children over a period of a week. Are the differences significant? Use α = .05 and the five-step model to conduct your hypothesis test. Write a sentence or two interpreting your results. Working Class: 10,9,4,2,1 Middle Class: 11,10,5,2,0 Upper Class: 7,5,2,0,0
You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly smaller than 58% at a level of significance of αα = 0.01. According to your sample, 36 out of 65 potential voters prefer the Democratic candidate. For this study, we should use The null and alternative hypotheses would be: Ho: (please enter a decimal) H1: (Please enter a decimal) The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is αα Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly smaller than 58% at αα = 0.01, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 58%. The data suggest the populaton proportion is significantly smaller than 58% at αα = 0.01, so…
You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly larger than 58% at a level of significance of αα = 0.10. According to your sample, 61 out of 96 potential voters prefer the Democratic candidate. For this study, we should use The null and alternative hypotheses would be: Ho: (please enter a decimal) H1: (Please enter a decimal) The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is αα Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly larger than 58% at αα = 0.10, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is larger than 58%. The data suggest the population proportion is not significantly larger than 58% at αα =…
QUESTION A5 (a) (b) Calculate the value of 7. If the critical value is 4.605 at a significance level of 0.10, can we reject the null hypothesis? State your reason.
You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly different from 79% at a level of significance of αα = 0.10. According to your sample, 86 out of 98 potential voters prefer the Democratic candidate. For this study, we should use The null and alternative hypotheses would be: Ho: (please enter a decimal) H1: (Please enter a decimal) The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is αα Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The data suggest the population proportion is not significantlydifferent from 79% at αα = 0.10, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is different from 79%. The data suggest the populaton proportion is significantly different from 79% at αα =…
You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly smaller than 76% at a level of significance of αα = 0.01. According to your sample, 42 out of 60 potential voters prefer the Democratic candidate. For this study, we should use The null and alternative hypotheses would be: Ho: (please enter a decimal) H1: (Please enter a decimal) The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is αα Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The data suggest the populaton proportion is significantly smaller than 76% at αα = 0.01, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is smaller than 76% The data suggest the population proportion is not significantly smaller than 76% at αα = 0.01, so…
You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly different from 71% at a level of significance of αα = 0.01. According to your sample, 41 out of 58 potential voters prefer the Democratic candidate. For this study, we should use The null and alternative hypotheses would be: Ho: (please enter a decimal) H1: (Please enter a decimal) The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is αα Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly different from 71% at αα = 0.01, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is different from 71%. The data suggest the population proportion is not significantly different from 71%…
Researchers at the University of Boston's Children's Hospital and Harvard Medical School analyzed records of breast cancer screening and diagnostic evaluations.† Discussing the downsides of the screening process, the article states that the rate of false-positives is higher than previously thought, and that false-positives lead to unnecessary medical follow-up that can be costly. Suppose that screening is used to decide between a null hypothesis of H0: no cancer is present and an alternative hypothesis of Ha: cancer is present. d) Which type of error are the researchers concerned about when they say that false-positives lead to unnecessary medical follow-up? Explain why it would be reasonable to use a small significance level. a. Researchers are concerned about a Type I error. Using a small significance level reduces the probability of failing to detect cancer in a patient who actually has cancer, making unncessary medical follow-ups less common. b. Researchers are…
Researchers at the University of Boston's Children's Hospital and Harvard Medical School analyzed records of breast cancer screening and diagnostic evaluations.† Discussing the downsides of the screening process, the article states that the rate of false-positives is higher than previously thought, and that false-positives lead to unnecessary medical follow-up that can be costly. Suppose that screening is used to decide between a null hypothesis of H0: no cancer is present and an alternative hypothesis of Ha: cancer is present. (Although these are not hypotheses about a population characteristic, this exercise illustrates the definitions of Type I and Type II errors.) Would a false-positive (thinking that cancer is present when in fact it is not) be a Type I error or a Type II error? a. Type I error b. Type II error b. Describe a Type I error in the context of this problem, and discuss the possible consequences of making a Type I error. a. Coming to the…

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