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Name: Exercise 4.39 describes a study to investigate whether a recorded phon
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Description: Exercise 4.39 describes a study to investigate whether a recorded phone call is more effective than a flyer in persuading voters to vote for a particular candidate. The response variable is the proportion of voters planning to vote for the candidate,

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Exercise 4.39 describes a study to investigate whether a recorded phone call is more effective than a flyer in persuading voters to vote for a particular candidate. The response variable is the proportion of voters planning to vote for the candidate, with p_c and p_f representing the proportions for the two methods (receiving a phone call and receiving a flyer, respectively). The sample statistic of interest is p^c−p^f. We are testing H₀ : p_c = p_f vs H_a : p_c > p_f. A randomization distribution of differences in proportions, p^c−p^f, for this test is shown in Figure 4.18.

Figure 4.18 Randomization distribution using n = 1000 for testing H₀ : p_c = p_f

Sketch a smooth curve that roughly approximates the distribution in Figure 4.18 and shade in the proportion of the area corresponding to the p-value for the sample statistic p^c−p^f=0.3.

(b)

Four possible sample statistics are given, along with four possible p-values. Match the statistics with the p-values.

p^c−p^f:0.1,0.3,0.5,0.65p-values:0.012,0.001,0.365,0.085

(c)

Interpret the p-value 0.001 in terms of the probability of the results happening by random chance.

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