Suppose an advocacy organization surveys 847 Canadians and 444 of them reported being born in another country. Similarly, 16 out of 119 U.S. citizens reported being foreign-born. Find the standard error of the difference in the two proportions. Let p, be the sample proportion of citizens from Canada who reported being born in another country and p2 be the sample proportion of citizens from the U.S. who reported being foreign-born. The standard error of the difference in the two proportions SE (P₁-P₂) = (Round to four decimal places as needed.)

In a recent survey of 100 users of a certain social media website, 29 said they thought website staff did a good job of punishing inappropriate users. Find the standard error for the sample proportion of website users who think the website staff does a good job of punishing inappropriate users.

A scientist studied the spread of AIDS and concluded that 24% of people contracted the disease. There is a problem with this conclusion. What should the correct conclusion state?

A nationwide job recruiting firm wants to compare the annual incomes for childcare workers in Utah and Oregon. Due to recent trends in the childcare industry, the firm suspects that the mean annual income of childcare workers in Utah is less than the mean annual income of childcare workers in Oregon. To see if this is true, the firm selected a random sample of 20 childcare workers from Utah and an independent random sample of 20 childcare workers from Oregon and asked them to report their mean annual income. The data obtained were as follows. Annual income in dollars 27060 , 42320 , 36445 , 37895, 44564 , 35325 , 30313 , 28698, 33706 , 48365 , 26946 , 25063 , 28339 , 29265 , 40051 , 37026 , 40150 , 42753 , 27820, 39471 Utah 29769 , 48859 , 32480 , 36288,45102 , 46219 ,51098 , 45516 , 38834 , 44659 , 40755 , 38006 , 39947 , 29801 , 32200, 38731 , 41370 , 28059 , 33753 , 35271 Oregon Send data to calc... v Send data to Excel The population standard deviation for the annual incomes of…

One study found a negative correlation between participant’s age and hours of sleep they got (as they got older, they slept less). Which additional fact would lead you to believe that the relationship between age and hours of sleep is one of causation and not correlation?     Jim is 63 and sleeps more than he did when he 47.     Josie is 40 and sleeps fewer hours than when she was 30.     The participants were randomly selected, the sample size was large, and the participants did not know the goal of the study.     Jennie sometimes has difficulty sleeping.

There are eight patients waiting in a doctor's waiting room.  They have been waiting for 9 minutes, 2 minutes, 5 minutes, 4 minutes, 12 minutes, 7 minutes, 8 minutes, and 11 minutes.  Calculate the sample variance for the patients' wait times (in minutes squared). Round to the nearest hundredth as needed.

A scientist wants to examine factors that may be related to cancer. The scientist believes that differences in age at death that will be found when determining what type of smoker a person was (pipe smoker, cigar smoker, cigarette smoker, or nonsmoker) but he also thinks it is important to consider the extent of smog in the person’s environment. For this new extended study, the people in the sample are divided up into those who lived in areas with heavy smog and those who lived in areas that were relatively free from smog. Smoking habit remains the other independent variable, and the dependent variable remains age at death. The new question of major interest to the scientist is whether the pattern of differences in age at death attributed to smoking habits would be influenced by whether people lived in smog-filled environments.  What is the appropriate statistic?   a. Dependent groups t-test   b. Phi Coefficient   c. Point Biserial r   d. t-test for r > 0…

The admisnistrators of Rowan university wants to know more about the knowledge of students regarding international events. They are concerned that their students are uninformed with regards to the news from other countries. When a standardized test is used to assess the knowledge of all students at al US universities about world events, it is reported that the national mean. A sample of 35 students from Rowan university are tested and the sample mean is 58 and the standard error is 3.2. The 99 percent confidence interval of population mean knowledge of the students at Rowan university has to be determined. 6. The 99 percent confidence interval of the population mean knowledge of the students at Rowan university based on this sample data is?

A district health officer wishes to determine if the six villages in his district are independent of residents contracting malaria, schistosomiasis, cholera or tuberculosis. Identity an appropriate statistical test and the tail of the test for the problem. Assume all samples used for study come from a normal population.

An athletic shoemaker wants to test if their new running shoe specially made for sprinting is better than the competition. To do this, they recruit 35 NCAA sprinters and time their 100-meter dash wearing the company's shoe and then time their 100-meter dash again wearing the competitor’s shoe. The difference of these times is then calculated asTimecompany.shoe−Timecompetitor.shoe. The sample mean difference in times is 0.53 seconds and the sample standard deviation is 1.1. Conduct a hypothesis test at theα=0.1 level. (a) Set up the null and alternative hypothesis (using mathematical notation/numbers AND interpret them in the context of the problem) (b) Calculate the test statistic (c) Calculate the critical value. (d) Draw a picture of the distribution of the test statistic underH0. Label and provide values for the critical value and the test statistic, and shade the critical region. (e) Make and justify a statistical decision at theα= 0.15 level and state your conclusions in the…