A local school board believes there is a difference in the proportion of households with school-aged children that would support starting the school year a week earlier, and the proportion of households without school-aged children that would support starting the school year a week earlier. They survey a random sample of 40 households with school-aged children about whether they would support starting the school year a week earlier, and 38 households respond yes. They survey a random sample of 45 households that do not have school-aged children, and 25 respond yes. Let ps = the true proportion of households with school-aged children that would support startin the school year a week early and pw= the true proportion of households without school-aged children that would support starting the school year a week earlier. Which of the following are the correct hypotheses to test the school board's claim? O H,i Ps- Pw = 0; Ha' Ps- Pw>0 O Hoi Ps-Pw=0; Hgi Ps-Pw<0 O Ho: Ps-Pw= 0; Ho: Ps-Pw=0 O Ho: Ps-Pw= 0; Hoi Ps-Pw=0

According to the Pew Research Center, the proportion of the American population who use only a cellular telephone (no landline) is 0.37. Jason conducts a survey of thirty 20- to 24-year-olds who live on their own and finds that 16 do not have a landline to their home. Does this provide sufficient evidence to conclude that the proportion of 20- to 24-year-olds who live on their own and don’t have a landline is greater than 0.37? Use an a=0.10 level of significance. Note

From the U.S. Census Bureau's American Community Survey in 2019 it was found that 33.13% of United States residents over the age of 25 had an educational attainment of a bachelor's degree or higher. In the District of Columbia, the percentage of residents over the age of 25 who had attained a bachelor's degree or higher was 59.67%. An investigator for the U.S. Census Bureau took a random sample of seven residents from the District of Columbia and asked them their highest educational degree they had obtained. When there is no data set posted for an investigation, open a blank StatCrunch page by clicking "Open StatCrunch" on the StatCrunch home page. a) Verify that the sample from the District of Columbia satisfies the conditions of the binomial experiment. Write one sentence to check each requirement in context of the investigation. b) Assuming the sample from the District of Columbia is a binomial experiment, build the probability distribution in a single table and include the table in…

Many fundraisers ask for donations using email and text messages. A paper describes an experiment to investigate whether the proportion of people who make a donation when asked for a donation by email is different from the proportion of people who make a donation when asked for a donation in a text message. In this experiment, 1.5% of those who received and opened an email request for a donation and 7.2% of those who received a text message asking for a donation actually made a donation. Assume that the people who received these requests were randomly assigned to one of the two groups (email or text message) and suppose that the given percentages are based on sample sizes of 2,000 (the actual sample sizes in the experiment were much larger). (Let p1 be the proportion who make a donation after receiving an email, and p2 be the proportion who make a donation after receiving a text message.)

The General Social Survey is an annual survey given to a random selection of about 1500 adults in the United States. Among the many questions asked are "What is the highest level of education you've completed?" and "If you're employed full-time, how many hours do you spend working at your job during a typical week?" We're interested in examining whether or not there are differences in the typical work week length based on the level of education of the worker. We perform a one-way, independent-samples ANOVA test, with the "groups" in the ANOVA being categories of highest educational degree of the worker ("less than high school," "bachelor's degree," etc.) and the variable being the number of hours written down by the worker in answering the survey question. (a) Suppose that the results of our ANOVA are given in the ANOVA table below. Complete the missing cell of the ANOVA table (rounding your answer to two decimal places). Source of Degrees of,Sum of variation Between freedom squares…

In a survey of working parents (both parents working), one of the questions asked was "Have you refused a job, promotion, or transfer because it would mean less time with your family?" 480 men and 480 women were asked this question. 21% of the men and 27% of the women responded "Yes". Based on this survey, can it be concluded that there is a difference in the proportion of men ( p1 ) and women ( p2 ) responding "Yes"? Use a significance level of α=0.1 for the test. Step 2 of 5 :   Compute the weighted estimate of p, p‾. Round your answer to three decimal places.

Childhood vaccinations: In January 2015, the Pew Research Center reported results from one of their surveys. “Asked about whether vaccines for childhood diseases such as measles, mumps, rubella (MMR) and polio should be required or left up to parental choice, 68% of adults say such vaccines should be required while 30% say that parents should be able to decide whether or not to vaccinate their children.” The following is an excerpt from the press release: The survey of the general public was conducted using a probability-based sample of the adult population by landline and cellular telephone Aug. 15-25, 2014, with a representative sample of 2,002 adults nationwide. The margin of sampling error for results based on all adults is plus or minus 3.1 percentage points. Source: C. Funk and L. Raine. Public and Scientists’ Views on Science and Society (2015) Which of the following statements is correct when interpreting the 95% confidence interval for these findings?    1. We are 95%…

According to the National Institute on Alcohol Abuse and Alcoholism (NIAAA) and the National Institutes of Health (NIH), 41% of college students nationwide engage in "binge-drinking" behavior: having five or more drinks on one occasion during the past two weeks. A college president wonders if the proportion of students enrolled at her college who binge drink is actually lower than the national proportion. In a commissioned study, 344 students are selected randomly from a list of all students enrolled at the college. Of these, 132 admit to having engaged in binge drinking.The college president is more interested in testing her belief that the proportion of students at her college who engage in binge drinking is lower than the national proportion of 0.41. What is the P-value? (Round your answer to four decimal places.)P-value = ?

In 2014, Scotland was considering independence from England, going so far as to take a referendum vote. One opinion poll taken at the time showed that 51% of Scots favored "independence." In another poll taken at that same time, only 34% favored being "separate" from England. The primary reason these results differed by so much is that a. samples will usually differ just by chance due to random sampling. b. the wording of questions has a big effect on poll results. c. more follow-up efforts reduced the nonresponse rate of the second poll. d. the sample sizes are different, so the margins of error are different.

The Pew Research Center reported in 2018 that 68% of U.S. adults rated "reducing health care costs" as a national priority. This year a survey is conducted with a national sample of 1,505 U.S. adults selected by a combination of landline and cell phone random digit dials. This year's survey finds that 70% of the sample says that "reducing health care costs" is a national priority. We test the following hypotheses: H0H0: The proportion of U.S. adults this year who rate "reducing health care costs" as a national priority is still 0.68. HaHa: The proportion of U.S. adults this year who rate "reducing health care costs" as a national priority is greater than 0.68. The P-value is 0.045. At a 5% significance level, we would reject the null hypothesis and concluded that the proportion of U.S. adults this year who rate "reducing health care costs" as a national priority is greater than 0.68. Explain the P-value in the context of this issue.