The mayor of a town has proposed a plan for the annexation of a new community. A political study took a sample of 800 voters in the town and found that 50% of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is less than 55% . Testing at the 0.02 level, is there enough evidence to support the strategist's claim? Required:
a. State the null and alternative hypotheses.
b. Find the value of the test statistic. Round your answer to two decimal places.
c. Specify if the test is one-tailed or two-tailed.
d. Determine the P P -value of the test statistic. Round your answer to four decimal places.
e. Identify the value of the level of significance.
f. Make the decision to reject or fail to reject the null hypothesis.
g. State the conclusion of the hypothesis test.

For this option, you will work individually. the pythagorean theorem can be used in many real-world scenarios. part 1 write your own real-world scenario where the pythagorean theorem can be applied to find a missing piece. you may choose to write a problem that is two- or three-dimensional in nature. be sure that you will be able to draw a diagram of your scenario. write out your problem and submit it for part 1. be sure to end your scenario with a question. part 2 draw a diagram of the scenario you created in part 1. you may draw by hand and scan and upload your drawing or create a computer-generated drawing for submission. be sure to label all parts and dimensions of the drawing. part 3 solve the question that you posed in part 1. show all of your steps in answering the question. for this option, you will need to submit all three parts for full credit—your real-world problem and question, the diagram that you created, and your work solving the problem, showing all steps. * note that your instructor is looking for your own original idea. while it is acceptable to use the internet for research and inspiration, academic integrity policies apply.

Liz had 140 pens and inna had 100 pens. after inna gave liz some pens, liz had 3 times as many pens as inna. how many pens did inna give liz?

Ineed to know the ordered pairs for this equation i need the answer quick because it’s a timed test