Suppose that a study is designed to choose be­ tween the hypotheses: null hypothesis: population proportion is 0.25. alternative hypothesis: population propor­ tion is higher than 0.25. on the basis of a sample of size 500, the sample proportion is 0.29. the null standard error for the potential sample proportions in this case is about 0.02.a. compute the standardized score corresponding to the sample proportion of 0.29, assuming the null hypothesis. b. what is the percentile for the satndardized score computed in part a. c. what is the p-value of the test? d. based on the results of part a to c, make a conclusion. be explicit about the wording of your conclusion and justify your answer. e. to compute the standardized score in part a, you assumed the null hypothesis was true. explain hy you couldn't compute standardized score under the assumption that alternative hypothesis was true.

Type the correct answer in each box. spell all the words correctly, and use numerals instead of words for numbers. if necessary, use / for the fraction bar(s).

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(i really need ) read the story problem, and then answer the questions that follow. gordon works for a graphic design firm and is creating a label for a food truck vendor. the vendor specializes in finger food and wants to sell food in right conical containers so that they are easy for people to hold. to complete his label, gordon needs to collect several different measurements to ensure that the label he designs will fit the surface of the container. gordon has been told that the containers have a diameter of 4 inches and a height of 6 inches. part a: find the slant height of the cone. the slant height is the distance from the apex, or tip, to the base along the cone’s lateral surface. show your work. part b: find the measure of the angle formed between the base of the cone and a line segment that represents the slant height. part c: imagine two line segments where each represents a slant height of the cone. the segments are on opposite sides of the cone and meet at the apex. find the measurement of the angle formed between the line segments.