In a survey conducted by a website, employers were asked if they had ever sent an employee home because they were dressed inappropriately. A total of 2751 employers responded to the survey, with 978 saying that they had sent an employee home for inappropriate attire. In a press release, the website makes the claim that more than one-third of employers have sent an employee home to change clothes. A USE SALT Do the sample data provide convincing evidence in support of this claim? Test the relevant hypotheses using a = 0.05. For purposes of this exercise, assume that it is reasonable to regard the sample as representative of employers in the United States. (Round your test statistic to two decimal places and your P-value to four decimal places.) p-value = State your conclusion. O Reject Hg. We have convincing evidence that more than one-third of employers have sent an employee home to change clothes. O Do not reject Ha. We do not have convincing evidence that more than one-third of employers have sent an employee home to change clothes. O Do not reject Hg. We have convincing evidence that more than one-third of employers have sent an employee home to change clothes. O Reject Ha. We do not have convincing evidence that more than one-third of employers have sent an employee home to change clothes.

An online book store wants to determine if there is an association between coupon redemption and gender. After a special coupon broadcast to its reward members, the following data on coupon redemption at checkout were collected.     Yes No Total Male 66(76.17) 66(55.83) 132 Female 125(114.83) 74(84.17) 199 Total 191 140 331   The correct value of the test statistic is     Chi-square = 5.340     Chi-square = 8.429     Chi-square = 0.839     Chi-square = 45.556

Based upon the output provided, what is sample size?

According to the Federal Trade Commission report on consumer fraud and identity theft, 23% of all complaints in 2007 were for identity theft. This year, a certain state kept track of how many of its 1380 complaints were for identity theft. They want to know if the data provide enough evidence to show that this state had a different proportion of identity theft than 23%. State the sample statistic, population parameter, and hypotheses.a) The sample statistic in context is: Select an answer A randomly selected complaint filed with the FTC for that state. The percentage of 1380 randomly selected complaints filed with the FTC for that state that are for identity theft. The percentage of all complaints filed with the FTC for that state that are for identity theft. The mean number of all complaints filed with the FTC for that state that are for identity theft. The mean number of 1380 randomly selected complaints filed with the FTC for that state that are for identity theft. A randomly…

Use the following information to answer the question. Researchers want to test whether the color of a vehicle ticketed for speeding has an effect on the amount of the ticket. Four vehicle colors were used for the study--red, white, black, and silver. Thirty vehicles were randomly assigned to each group. Use the output below to answer the question.   Choose the correct conclusion for the hypothesis that vehicle color affects the amount of a speeding ticket. Assume all ANOVA test conditions have been satisfied.   a) Reject H0. The vehicle color has no effect on the amount of the speeding ticket. b) Fail to reject H0. The vehicle color has no effect on the amount of the speeding ticket. c) Reject H0. The vehicle color has an effect on the amount of the speeding ticket. d) Fail to reject H0. The vehicle color has an effect on the amount of the speeding ticket.

A study investigated various aspects of drug use among pregnant women: With 95% Confidence, identify if there is an Inference / Difference between both samples.   Did the mother use Marijuana?       Yes   No Low Birth Weight 90   512 Total Babies 822   6648

Social networking is becoming more and more popular around the world. Pew Research Center used a survey of adults in several countries to determine the percentage of adults who use social networking sites (USA Today, February 8, 2012). Assume that the results for surveys in Great Britain, Israel, Russia and United States as follows.   Country Use Social Networking Sites Great Britain Israel Russia United States Yes 344 265 301 500 No 456 235 399 500   Conduct a hypothesis test to determine whether the proportion of adults using social networking sites is equal for all four countries. What is the p-value? Using a .05 level of significance, what is your conclusion? What are sample proportions for each of the four countries? Which country has the largest proportion of adults using social networking sites?

Calculate the degrees of freedom for a one-sample t test with 2,822 U.S. adults between the ages of 15 and 64 in the sample.

A recent survey by the Indiana State University Department of Athletics aims to evaluate the popularity of its mascot, Sycamore Sam within its community.  The department interviews 250 randomly selected individuals in the community of 13000, and finds that 175 are fond of the "woodland creature" mascot.  Based on the information given, can we assume the sample distribution of sample proportions will follow a Normal model?  Answer by listing, and evaluating, the 4 conditions necessary using complete sentences.

You work for a marketing firm that has a large client in the automobile industry. You have been asked to estimate the proportion of households in Chicago that have two or more vehicles.  You have been assigned to gather a random sample that could be used to estimate this proportion to within a 0.035 margin of error at a 99% level of confidence. a)  With no prior research, what sample size should you gather in order to obtain a 0.035 margin of error? b)  Your firm has decided that your plan is too expensive, and they wish to reduce the sample size required. You conduct a small preliminary sample, and you obtain a sample proportion of ˆp=0.185. Using this new information. what sample size should you gather in order to obtain a 0.035 margin of error