You wish to test the following claim using a significance level of α=0.05.      H0:     π =0.26      HA:   π >0.26 You collect a sample of size 154 in which there are 53 successful observations. For this test, you should use the Theory-Based Inference applet (do not use simulation). (a)  What is the standardized statistic for this observed sample statistic? (Report answer

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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You wish to test the following claim using a significance level of α=0.05.
     H0:     π =0.26
     HA:   π >0.26

You collect a sample of size 154 in which there are 53

successful observations.


For this test, you should use the Theory-Based Inference applet (do not use simulation).

(a)  What is the standardized statistic for this observed sample statistic?
(Report answer accurate to two decimal places.)
      standardized statistic = Incorrect

(b)  What is the p-value for this sample? (Report answer accurate to four decimal places.)
      p-value = Incorrect

(c)  As such, the final conclusion is that...

  • The population proportion is 0.26.
  • We have proven the claim that the population proportion is greater than 0.26.
  • We have statistically significant evidence to support the claim that the population proportion is greater than 0.26.
  • It is plausible that the population proportion is 0.26.
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