(a)Two random samples, 95 blue-collar workers and 50 white-collar workers were takenfrom a large company. These workers were asked about their views on a certaincompany issue. The results of the survey were collected and shown in Table Q3(a).Table Q3(a): Workers views on a certain company issueOpinionFavorOpposeUncertainBlue-collar275520WorkersWhite-collar4130Using a 2.5% significance level, test the null hypothesis that the opinions for thegroup of workers depend on type of workers.(b)The following table list the numbers of violent crimes reported to police on randomlyselected days for this year. The data are taken from three large cities of about the samesize. The results are shown in Table Q3(b).Table Q3(b): Number of violent crimes reported to policeCityA4123B912310713C241138625At a 2.5% significance level, test the null hypothesis that the mean number of violentcrimes reported per day is the same for each of these three cities.

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Answered: (a) Two random samples, 95 blue-collar…

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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For a certain year, a study reports that the percentage of college students using credit cards was 87%. A college dean of student services feels that this is too high for her university, so she randomly selects 225 students and finds that 190 of them use credit cards. At the .01 significance level, is she correct about her university?
The Bureau of Labor Statistics reports that the official unemployment rate for Black people was 10.4% and 4.7% for White people in February 2015. Select all correct answers for this question. O The samples of white and black people are independent. The explanatory variable is the unemployment rate. The response variable is the unemployment rate. The response variable is race.
Magazine A national publishing house claims that 28% of all weekly magazine readers in SA read their publication. Test this claim at the 1% significance level, if a survey found that 104 out of a random sample of 400 magazine readers said that they read the specific publication.
Z?
Example: Assume that adults were randomly selected for a poll. They were asked if they "favor or oppose using federal tax dollars to fund medical research using stem cells obtained from human embryos.” Of those polled, 480 were in favor and 394 were opposed. A politician claims that people don’t really understand the stem cell issue and their responses to such questions are random responses equivalent to a coin toss. Use a 0.01 significance level to test the claim that the proportion of subjects who respond in favor is equal to 0.5. What does the result suggest about the politician’s claim? Following the hypothesis test steps, let’s first identify the claim and the null and alternative hypotheses: For this example, the original claim is that the proportion of the subjects who responded in favor is equal to 0.5 (half – since the politician compared their responses as equivalent to a coin toss). The symbolic form of the politician’s claim can be expressed as p = 0.5. Also notice…
Median household income in a particular county is $46,250. A researcher is interested to see whether students at the county community college have a median household income lower than the county overalI. She selects 15 students at random and determines that 12 have a household income below the county median, one has an income equal to the county median, and two have a household income above the county median. She wishes to conduct her test using the 0.05 significance level. What is the decision rule? Multiple Choice Reject Ho if the number above the median is <3 or 28. Reject Ho if the number above the median is <3. Reject Ho if the number above the median is <2 or 210. Reject Ho if the number above the median is <2.
If a hypothesis test were conducted using a 5% level of significance, for which of the following p-values would the null hypothesis be rejected? A. 0.0367 B. 0.0501 C. 0.100 D. 0.299
The table below lists body temperatures obtained randomly selected subjects. The temperatures are categorized according to gender and whether the subject uses drug. Using a 0.05 significance level, test for an interaction between gender and usage of drug, test for an effect from gender, and test for an effect from usage of drug. What do you conclude? Use Drug Does Not Use Drug Male 98.4 97.4 96.8 98.2 98.4 97.4 97.4 98.0 Female 98.6 99.3 98.2 98.6 97.0 98.4 97.2 98.7
In a large clinical trial, 395,241 children were randomly assigned to two groups. The treatment group consisted of 197,457 children given a vaccine for a certain disease, and 38 of those children developed the disease. The other 197,784 children were given a placebo, and 143 of those children developed the disease. Consider the vaccine treatment group to be the first sample. Complete parts (a) through (d) below. a. Assume that a 0.05 significance level will be used to test the claim that p₁
According to a book published in 2011, 45% of the undergraduate students in the United States show almost no gain in learning in their first two years of college (Richard Arum et al., Academically Adrift, University of Chicago Press, Chicago, 2011). A recent sample of 1540 undergraduate students showed that this percentage is 37%. Can you reject the null hypothesis at a 2.5% significance level in favor of the alternative that the percentage of undergraduate students in the United States who show almost no gain in learning in their first two years of college is currently lower than 45%. Use both the p-value and the critical-value approaches. Round your answers for the observed value of z and the critical value of z to two decimal places, and the p-value to four decimal places. Zobserved = p-value = Critical value = i Hence we can conclude that the percentage of undergraduate students in the U.S. who show almost no gain in learning in their fırst two years of college is currently 45%.
A graduate student believes that people consider faces with more contrast between lip color and skin tone as more feminine. She identifies the null hypothesis as: Ho: The level of contrast between lip color and skin tone does not affect how feminine a face is considered. She chooses a significance level of 0.05. After she collects the data and computes the sample statistics, it is time for her to make a decision about the null hypothesis. What are the two possible decisions that the graduate student can make? Check all that apply. There is not enough evidence to reject the hypothesis that the contrast between lip color and skin tone affects how feminine a face is considered. There is enough evidence to reject the hypothesis that the contrast between lip color and skin tone does not affect how feminine a face is considered. There is enough evidence to reject the hypothesis that the contrast between lip color and skin tone affects how feminine a face is considered. ☐ There is not enough…

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