High schooldrop-out rates in a certain country have decreased from nearly 16% in 1991-1992 to 9% in 2009-2010. However the rate in rural areas is 17%, nearly double. A pilot program aimed at keeping students in school in rural areas reported that in the first year of operation 266 of the 1781 students that participated in the program had dropped out of high school. Does this provide evidence that the pilot program has beeneffective? Explain. Use a significance level of =0.05.

For each graph, indicate whether the shaded area could represent a pvalue. Explain whyI or whyr not. If yes, state whether the area could represent the pvaiue for a onetailed or a Motaied alternative hypothesis. {:1 9' Choose the correct answer below. Q C) A. The shaded area could be a pvalue for a test with a onetailed alternative hypothesis because it includes tail areas. 0 B. The shaded area could not he a pvalue because it includes both tail areas. J. D O C. The shaded area could not he a pvalue because itdoes not include tail areas. 0 D. The shaded area could be a pvalue for a test with a twotailed altemative hypothesis since both tails are of equal size. -2 D 2 {b} 9' Choose the correct answer below. a O A. The shaded area could be a pvalue because it includes tail areas only. 0 B. The shaded area could be a ptralue because it does not include tail areas. F D O C. The shaded area could not be a p-value because itdoes not include tail areas. 0 D. The shaded area could not be a p-value because it includes tail areas only. During one month, the rate for renting a particular car model was $65.08 per day plus 30c per mile. For a 1-day rental, let x denote the number of miles driven and let y denote the total cost, in dollars. The linear equation for a 1-day rental is y = 65.08 + 0.30x. a. Find the y-intercept and slope of the linear equation. b. Explain what the y-intercept and slope represent in terms of the graph of the equation. c. Explain what the y-intercept and slope represent in terms relating to the application. a. The y-intercept of the linear equation is $ (Type an integer or a decimal. Do not round.) The slope of the linear equation is $ (Type an integer or a decimal. Do not round.) b. The y-intercept gives the y-value at which the line intersects the The slope indicates that the y-value increases by 0.30 units for every increase in x of unit(s). (Type an integer or a decimal. Do not round.) c. The y-intercept is the cost of a car rental for miles traveled. The slope represents an increase in the cost of the car rental equal to $0.30 perHigh school drop-out rates in a certain country have decreased from nearly 16% in 1991-1992 to 9% in 2009-2010. However the rate in rural areas is 17%, nearly double. A pilot program aimed at keeping students in school in rural areas reported that in the first year of operation 266 of the 1781 students that participated in the program had dropped out of high school. Does this provide evidence that the pilot program has been effective? Explain. Use a significance level of a = 0.05. Determine the hypotheses for this test. Choose the correct answer below. O A. Ho: P = 0.17 O B. Ho: P =0.16 HA: P 0.17 OE. Ho: P= 0.16 OF. Ho: P = 0.16 HA: p 0.16 Compute the test statistic. Select the correct choice below, and, if necessary, fill in the answer box to complete your choice. O A. z= (Type an integer or decimal rounded to two decimal places as needed.) O B. The test statistic cannot be calculated. Not all of the assumptions and conditions for a hypothesis test have been met. Calculate the P-value. Select the correct choice below, and, if necessary, fill in the answer box to complete your choice. O A. P-value = (Type an integer or decimal rounded to three decimal places as needed.) O B. The P-value cannot be calculated. Not all of the assumptions and conditions for a hypothesis test have been met.Is there evidence that the pilot program has been effective? Explain. Ho- Since the P-value is a, there sufficient evidence to say that there is a decrease in the dropout rate with the pilot program