Question 6"Suppose that in the past, 37% of all adults favored capitalpunishment. Do we have a reason to believe that theproportion of adults favoring capital punishment todayhas increased if, in a random sample of 50 adults, 26 favorcapital punishment? Use a 0.01 level of significance."We are 100% sure that there is no increase inA) the percentage of adults favoring capitalpunishment.(B) "Indeed, there is sufficient evidence to say so."C) No sufficient evidence to make a conclusion.(D) There is no sufficient evidence to say so.

Here From given information Claim : proportion of adult favoring capital punishment is increased .…

Answered: Question 6 "Suppose that in the past,…

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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In a random sample of 400 electrical components, 88 are found to be defective. You wish to test the null hypothesis that the population proportion of defective components is 20% versus the alternative hypothesis that the population proportion is not 20%.You choose a significant level of 5%. What is your statistical decision in this case?
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Annie is concerned over a report that "a woman over age 40 has a better chance of being killed by a terrorist than of getting married." A study found that the likelihood of marriage for a never-previously-wed, 40-year-old university-educated American woman was 3.4%. To demonstrate that this percentage is too small, Annie uses her resources at the Baltimore Sun to conduct a simple random sample of 438 never-previously-wed, university-educated, American women who were single at the beginning of their 40s and who are now 45. Of these women, 20 report now being married. Does this evidence support Annie’s claim, at the 0.02 level of significance, that the chances of getting married for this group is greater than 3.4%? Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places. Step 3 of 3: Draw a conclusion and interpret the decision.
A union of restaurant and foodservice workers would like to estimate this year's mean hourly wage, u, of foodservice workers in the U.S. Last year's mean hourly wage was $8.25, and there is reason to believe that this year's value is less than last year's. The union decides to do a statistical test to see if the value has indeed decreased. The union chooses a random sample of this year's wages, computes the mean of the sample to be $7.98, and computes the standard deviation of the sample to be $1.25. Based on this information, answer the questions below. What are the null hypothesis (H) and the alternative hypothesis (H,) that should be used for the test? |Ho: u is ? H: u is ? v|? ? In the context of this test, what is a Type I error? v the hypothesis that u is ? A Type I error is ? fact, u is ? v when, in Suppose that the union decides not to reject the null hypothesis. What sort of error might it be making? ?
The National Academy of Science reported that 33 % of research in mathematics is published by US authors. The mathematics chairperson of a prestigious university wishes to test the claim that this percentage is no longer 33 %. He has no indication of whether the percentage has increased or decreased since that time. He surveys a simple random sample of 280 recent articles published by reputable mathematics research journals and finds that 108 of these articles have US authors. Does this evidence support the mathematics chairperson's claim that the percentage is no longer 33 % ? Use a 0.01 level of significance. Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. Answer Ho :p = 0.33 Ha P O # ο ο ο HAV O < 0.33 Tables Keypad Keyboard Shortcuts
Annie is concerned over a report that "a woman over age 40 has a better chance of being killed by a terrorist than of getting married." A study found that the likelihood of marriage for a never-previously-wed, 40-year-old university-educated American woman was 3.1 %. To demonstrate that this percentage is too small, Annie uses her resources at the Baltimore Sun to conduct a simple random sample of 424 never-previously-wed, university-educated, American women who were single at the beginning of their 40s and who are now 45. Of these women, 19 report now being married. Does this evidence support Annie's claim, at the 0.01 level of significance, that the chances of getting married for this group is greater than 3.1 % ? Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places.
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A union of restaurant and foodservice workers would like to estimate this year's mean hourly wage, u, of foodservice workers in the U.S. Last year's mean hourly wage was $8.08, and there is reason to believe that this year's value is different from last year's. The union decides to do a statistical test to see if the value has indeed changed. The union chooses a random sample of this year's wages, computes the mean of the sample to be $8.48, and computes the standard deviation of the sample to be $1.25. Based on this information, answer the questions below. What are the null hypothesis (H) and the alternative hypothesis (H,) that should be used for the test? H: u is [? |H: u is ? ? In the context of this test, what is a Type II error? A Type II error is ? v the hypothesis that u is ? when, in fact, u is ? Suppose that the union decides to reject the null hypothesis. What sort of error might it be making? ?
An environmentalist wishes to conduct a hypothesis test on the percentage of cars driven in the city that are hybrids. Is it sufficient for him to use a simple random sample of 173 cars if hybrids currently account for 8%of the car sales in the country and he claims that the percentage of hybrids in the city is higher than that?
It was claimed recently that more than 55% of high school students in the United States use computers for educational purposes. We wish to examine this claim. We choose a random sample of 225 U.S. high school students and find that 140 of these students use computers for educational purposes. Based on this, can we conclude, at the 0.05 level of significance, that more than 55% of high school students in the United States use computers for educational purposes? In your answers, denote the proportion of all U.S. high school students who happen to use computers for educational purposes by p. State the null hypothesis H0 and the alternative hypothesis H1 Find the z-test value find the critical value Can we conclude that more than 55% of high school students in the United States use computers for educational purposes? Yes or No?
1. Write a complete paragraph in APA format describing the research question and your results. Question: A social psychologist records the number of outbursts among students at two schools. Assuming the same number of students were observed at each school, what is the sample size at each school, the decision to retain or reject the null hypothesis) and the effect size for this study based on the following statement? The number of outbursts among students at the small school (M=3) was significantly less than the number recorded at the large school (M = 5) f(38) =4.19, p < .05(d = 0.25 ). Results: sample size = 20 for each school For a two tailed test and df = 38, at 0.05 significance level, t = 2.023 (from t distribution table) Here, the critical value is less than t obtained (t2.023 < 4.19) Hence, we reject the null hypothesis at a 5% significance level Given that d = 0.25 => effect size is medium (since 0.2<d<0.8 for medium) Therefore, the study showed a medium…
Annie is concerned over a report that "a woman over age 40 has a better chance of being killed by a terrorist than of getting married." A study found that the likelihood of marriage for a never-previously-wed, 40-year-old university-educated American woman was 2.4%. To demonstrate that this percentage is too small, Annie uses her resources at the Baltimore Sun to conduct a simple random sample of 440 never-previously-wed, university-educated, American women who were single at the beginning of their 40s and who are now 45. Of these women, 12 report now being married. Does this evidence support Annie’s claim, at the 0.02 level of significance, that the chances of getting married for this group is greater than 2.4%? Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places Step 3 of 3: Draw a conclusion and interpret the decision.

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