In a large clinical trial, 391,834 children were randomly assigned to two groups. The treaunent children developed the disease. The other 194,641 children were given a placebo, and 149 of those children developed the disease. Consider the vaccine treatment group to be the sample. Identify the values of n,, P, 9,, n2, P2, 92, P, and q. P, =D (Type an integer or a decimal rounded to eight decimal places as needed.) (Type an integer or a decimal rounded to eight decimal places as needed.)

Some people believe that different octane gasoline result in different miles per gallon in a vehicle. The following data is a sample of 11 people which were asked to drive their car only using 10 gallons of gas and record their mileage for each 87 Octane and 92 Octane. Miles with 87 Octane Miles with 92 Octane Person 1. 234 237 257 238 3 243 229 4 215 224 114 119 6 287 297 315 351 8 229 241 9 192 186 10 204 209 11 547 562 Do the data support that different octanes produce different miles per gallon at the a = 0.02 level of significance? Note: A normal probability plot of difference in car mileage between Octane 87 and Octane 92 indicates the population could be normal and a boxplot indicated no outliers. a. Express the null and alternative hypotheses in symbolic form for this claim. Assume 4 = 4i – P2, where µi is the population mean mileage for Octane 87 and u2 is the mean mileage for Octane 92. Ho: 4, Select an answer V H1:µ, Select an answer V b. What is the significance level? c.…

Researchers asked parents of 19 American children, ages 8 to 12, to complete surveys on the number of hours their children spent reading and the number of hours they spent on screen-based media time. Each of the children also underwent magnetic resonance imaging (MRI) to assess connectivity in the brain. More time spent reading was associated with higher connectivity, while more screen time was associated with lower connectivity in the brains of the children. 1. What is the sample in this study? c 2. What is a possible population? F6 3. Is this an experiment or an observational study? Why did you make that decision? 4. Can we conclude that more time spent reading increases connectivity in children's brains? 5. Identify a possible confounding variable and explain how it meets the definition of a confounding variable. MacBook Air tv♫ F7 * 2 DII F8 ( ZA F9 1 F10 & F11 DOCX A

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 −…

Please answer questions D and E for me

The human resource department at a certain company wants to conduct a survey regarding worker benefits. The department has an alphabetical list of all 2434 employees at the company and wants to conduct a systematic sample of size 30. What is K? K=?

A quarterback  threw 1 interception in his first game, 2 interceptions in his second game, and 5 inter-ceptions in his third game, and then he retired. Consider the values1, 2, and 5 to be a population. Assume that samples of size 2 are randomly selected (with replacement) from the population. List  the  9  different  possible  samples,  and  find  the  mean  of each sample.