You are conducting a study to see if the proportion of voters who prefer the Democratic candidate issignificantly different from 72% at a level of significance of a = 0.10. According to your sample, 63 out of83 potential voters prefer the Democratic candidate.a. For this study, we should use Select an answerb. The null and alternative hypotheses would be:Ho:v Select an answer v(please enter a decimal)H1: ? v Select an answer v(Please enter a decimal)c. The test statistic ? v =(please show your answer to 3 decimal places.)d. The p-value =(Please show your answer to 4 decimal places.)e. The p-value is ? v af. Based on this, we should Select an answer v the null hypothesis.g. Thus, the final conclusion is that ...O The data suggest the population proportion is not significantly different from 72% at a = 0.10,so there is not sufficient evidence to conclude that the proportion of voters who prefer theDemocratic candidate is different from 72%.O The data suggest the populaton proportion is significantly different from 72% at a = 0.10, sothere is sufficient evidence to conclude that the proportion of voters who prefer theDemocratic candidate is different from 72%O The data suggest the population proportion is not significantly different from 72% at a = 0.10,so there is sufficient evidence to conclude that the proportion of voters who prefer theDemocratic candidate is equal to 72%.h. Interpret the p-value in the context of the study.O There is a 42.84% chance of a Type I error.Olf the sample proportion of voters who prefer the Democratic candidate is 76% and if another83 voters are surveyed then there would be a 42.84% chance that we would conclude eitherfewer than 72% of all voters prefer the Democratic candidate or more than 72% of all votersprefer the Democratic candidate.O There is a 42.84% chance that the percent of all voters who prefer the Democratic candidatediffers from 72%.O If the population proportion of voters who prefer the Democratic candidate is 72% and ifanother 83 voters are surveyed then there would be a 42.84% chance that either more than76% of the 83 voters surveyed prefer the Democratic candidate or fewer than 68% of the 83voters surveyed prefer the Democratic candidate.i. Interpret the level of significance in the context of the study.O If the proportion of voters who prefer the Democratic candidate is different from 72% and ifanother 83 voters are surveyed then there would be a 10% chance that we would end up falselyconcluding that the proportion of voters who prefer the Democratic candidate is equal to 72%.O There is a 10% chance that the earth is flat and we never actually sent a man to the moon.O There is a 10% chance that the proportion of voters who prefer the Democratic candidate isdifferent from 72%.O If the population proportion of voters who prefer the Democratic candidate is 72% and ifanother 83 voters are surveyed then there would be a 10% chance that we would end up falselyconcluding that the proportion of voters who prefer the Democratic candidate is different from72%

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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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The General Social Survey is an annual survey given to about 1500 U.S. adults selected at random. A recent survey contained the question "How important to your life is having a fulfilling job?" Of the 265 college graduates surveyed, 99 chose the response "Very important." Of the 118 people surveyed whose highest level of education was high school or less, 42 chose the response "Very important." Based on these data, can we conclude, at the 0.01 level of significance, that there is a difference between the proportion p₁ of all U.S. college graduates who would answer "Very important" and the proportion p of all U.S. adults whose highest level of education was high school or less who would answer "Very important"? Perform a two-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) State the null hypothesis Ho and the alternative…
A question in a poll taken in 2007 asked, "Do you think the penalties for underage drinking should be made more strict, less strict, or remain the same?" The sample proportion that responded "more strict" was 0.61 (61%). This result will be used to estimate the proportion of all adults in the United States who think that penalties for underage drinking should be more strict. The sample consisted of n = 500 randomly selected adults in the United States Calculate a 95% confidence interval that estimates the population proportion who think that penalties for underage drinking should be more strict. (Round your answers to three decimal places.)
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.
A survey asked 827 randomly sampled registered voters in California to select a response best fitting their opinion about drilling for oil and natural gas off the coastline of California. Response options include (1) Support, (2) Oppose, or (3) Do not know enough to answer. Data was disaggregated along whether respondents were college graduates or not. Here's the data: Support Drilling Oppose Drilling Doesn't Know Graduated College 154 180 104 Didn't Graduate College 132 126 131 Does this data show a statistically significant difference in the support of drilling between those who graduated college and those who didn't?
Forbes reports that women in general trust recommendations from Pinterest more than recommendations from any other social network platform. But does trust in Pinterest differ by gender? The following sample data show the number of women and men who state in a recent survey that they trust recommendations made on Pinterest. Sample Trust recommendations made on Pinterest Women 150 117 Men 170 102 We want to determine whether trust in Pinterest differ by gender. Formulate the null and the alternative hypotheses. Use 1 to represent women and 2 to represent men. H0: Ha: Null: p1 – p2 ≥ 0; Alternative: p1 – p2 < 0 Null: p1 – p2 = 0 ; Alternative: p1 – p2 ≠ 0 Null: p1 – p2 ≤ 0; Alternative: p1 – p2 > 0 B. What the test statistics? You probably need to find the pooled proportion first. Pooled proportion is ___________. 0.6 0.78 0.6844 C. Test statistic is ________. 3.46 1.28 66.41 4.36
Two computer users were discussing tablet computers. A higher proportion of people ages 16 to 29 use tablets than the proportion of people age 30 and older. The table below details the number of tablet owners for each age group. Test at the 1% level of significance. (For subscripts let 1 = 16-29 year old users, and 2 = 30 years old and older users.) 16–29 year olds 30 years old and older Own a Tablet 69 231 Sample Size 625 2,313 NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) Part (a) State the null hypothesis. H0: p1 < p2 H0: p1 > p2 H0: p1 ≠ p2 H0: p1 = p2 H0: p1 ≥ p2 Part (b) State the alternative hypothesis. Ha: p1 < p2 Ha: p1 ≠ p2 Ha: p1 = p2 Ha: p1 > p2 Ha: p1 ≤ p2 Part (c) In words, state what your random variable P'1 − P'2 represents. P'1 −…
After being rejected for employment, Kim Kelly learns that the Bellevue Credit Company has hired only five women among the last 22 new employees. She also learns that the pool of applicants is very large, with an approximately equal number of qualified men as qualified women. Help her address the charge of gender discrimination by finding the probability of getting five or fewer women when 22 people are hired, assuming that there is no discrimination based on gender. (Report answer accurate to 8 decimal places). P(at most five) = Because this is a serious claim, we will use a strict cutoff value for unusual events. We will use 0.5% as the cutoff value (1 in 200 chance of happening by chance). With this in mind, does the resulting probability really support such a charge? O yes, this supports a charge of gender discrimination Ono, this does not support a charge of gender discrimination
Which summary statement best reflects the findings of the hypothesis test above. O The sample data suggests that happiness and technology use are dependent. The sample data suggests that the mean happiness scores of the the 3 technology groups are different. The sample data suggests that the mean happiness scores of the the 3 technology groups are not different. The sample data suggests that the proportion of happiness is the same for all technology groups.
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 152 cars if hybrids currently account for 7 % of the car sales in the country and he claims that the percentage of hybrids in the city is higher than that? Answer 曲 Tables Кeypad Keyboard Shortcut O Yes O No
An article published in the “American Journal of Public Health” describes the results of a health survey administered to 119 male convicts, 50 years of age or older, residing in a state social rehabilitation center. It was found that 21.6% of them claimed to have a history of venereal diseases. Based on these findings, we wish to evaluate whether more than 15% of this population has a history of venereal diseases. What would be the p value that allows evaluating the research question? A. 4.32 B. 2.09 C. -1.72 D. 0.018 E. 0.957
Results from a civil servant exam are shown in the table to the right. Is there sufficient evidence to support the claim that the results from the test arediscriminatory? Use a 0.01 significance level. Passed Failed White candidates 17 14 Minority candidates 9 29 If: H0: White and minority candidates have the same chance of passing the test. H1: White and minority candidates do not have the same chance of passing the test. answer the following: **1. Determine the test statistic. x2 = ____ **2. Determine the P-value of the test statistic. p= ____

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