An urban comminity would like to show that the incidence of breast cancer is higher in their area than in a nearby rural area. If it is found that 20 out of 200 adult women in the urban comminity have breast cancer and 20 of 300 adult women in the rural community have breast cancer, can we conclude at the 0.025 level of 1 significance that breast cancer is more prevalent in the urban comminity?

The U.S. Department of Transportation, National Highway Traffic Safety Administration, reported that 77% of all fatally injured automobile drivers were intoxicated. A random sample of 53 records of automobile driver fatalities in a certain county showed that 33 involved an intoxicated driver. Do these data indicate that the population proportion of driver fatalities related to alcohol is less than 77% in Kit Carson County? Use a = 0.01. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: p = 0.77; Hị: p + 0.77 O Ho: p 0.77 O Ho: p = 0.77; H1: p 5 and ng > 5. O The standard normal, since np > 5 and ng > 5. O The Student's t, since np < 5 and ng < 5. O The standard normal, since np < 5 and ng < 5. What is the value of the sample test statistic? (Round your answer to two decimal places.) (c) Find the P-value of the test statistic. (Round your answer to four decimal places.)

Two different areas of large eastern city are being considered as sites for day care centers. Of 200 households surveyed in one section, the proportion in which the mother worked full time was 0.52. In another section, 40 % of the 150 households surveyed had mothers working at full time jobs. At the 0.04 level of significance, is there a significant difference in the proportions of working mothers in the two areas of the city? A coal fired power plant is considering two different systems for pollution abatement .The first system has reduced the emission of the pollutants to acceptable levels 68 percent of the time, as determined from 200 air samples. The second, more expensive system has reduced the emission of pollutants to acceptable levels 76 percent of the time, as determined from 250 air samples. If the expensive system is significantly more effective than the inexpensive system in reducing pollutants to acceptable levels, then the management of the power plant will install the…

UCLA conducted a survey of more than 263,000 college freshmen from 385 colleges in fall 2005. The results of students' expected majors by gender were reported in The Chronicle of Higher Education (2/2/2006). Suppose a survey of 5,000 graduating females and 5,000 graduating males was done as a follow-up last year to determine what their actual majors were. The results for males are shown in the table below. The second column in the table does not add to 100% because of rounding.Conduct a goodness-of-fit test to determine if the actual college majors of graduating males fit the distribution of their expected majors. (Use a significance level of 0.05.) Major Men - Expected Major Men - Actual Major Art & Humanities 11.0% 600 Biological Sciences 6.7% 330 Business 22.7% 1,130 Education 5.8% 305 Engineering 15.6% 800 Physical Sciences 3.6% 175 Professional 9.3% 460 Social Sciences 7.6% 370 Technical 1.8% 90 Other 8.2% 400 Undecided 6.6% 340 Part (a)…

A research center claims that more than 37% of U.S adults eat breakfast everyday. In a random sample of 300 U.S adults, 123 said they eat breakfast everyday. At 0.10 level of significance, what can you conclude about the researchers claim?

A sample of n = 25 diners at a local restaurant had a mean lunch bill of $16 with a standard deviation of o = $4. We obtain a 95% confidence interval as (14.43, 17.57). Which of the following correctly interprets this interval? • a. 95% of all lunches will cost between $14.43 and $17.57. • b. 95% of the time, the average price for a lunch will be between $14.43 and $17.57. • c.None of the answer options is correct.

A recent PwC survey of 1,379 CEOs from a wide range of industries representing a mix of company sizes from Asia, Europe, and the Americas indicated that CEOs are firmly convinced that it is harder to gain and retain people's trust in an increasingly digitalized world (pwc.to/2jFLzjF). Fifty-eight percent of CEOs are worried that lack of trust in business would harm their company's growth. Which risks arising from connectivity concern CEOs most? Eighty-seven percent believe that social media could have a negative impact on the level of trust in their industry over the next few years. But they also say new dangers are emerging and old ones are getting worse as new technologies and new uses of existing technologies increase rapidly. CEOs are particularly anxious about breaches in data security and ethics and IT outages and disruptions. A vast majority of CEOs are already taking steps to address these concerns, with larger-sized companies doing more than smaller-sized companies. a.…

To investigate if female executives in a very large fortune 500 company are experiencing pay-discrimination: A researcher samples the incomes of 300 male and 300 female executives from that corporation. 1.) Which statistic would you use to test the income difference between male and female executives? 2.) What additional information do you need to calculate this statistic?

A survey of 2255 randomly selected US adults found that 51% said they know all or most of their neighbors. Does this provide evidence that more than half of US adults know most or all of their neighbors? Use 5% significance level.

Are couples that live together before they get married more likely to end up divorced within five years of marriage compared to couples that live apart before they get married? 217 of the 671 couples from the study who lived together before they got married were divorced within five years of marriage. 132 of the 421 couples from the study who lived apart before they got married were divorced within five years of marriage. What can be concluded at the  = 0.10 level of significance? For this study, we should use        The null and alternative hypotheses would be:                                            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      Based on this, we should      the null hypothesis. Thus, the final conclusion is that ... The results are statistically insignificant at αα = 0.10, so there is statistically significant evidence to conclude that the divorce rate…