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Safari File Edit View History Bookmarks Window Help 59% Mon 12:36 PM 0 0 edugen.wileyplus.com WileyPLUS WileyPLUS × Chapter 4. Section 1, Exercise 014 State whether E I Chegg.com d, Study & Practice Assign Gradeb ORION wnloadable eTextboolk Assignment>Open Assignment FULL SCREEN PRINTER VERSION BACK NEXT ASSIGNMENT RESOURCES Chapter 4, Section 2, Exercise 064 Assignments er 4 The null and alternative hypotheses for a population proportion, as well as the sample results, are given. Use Statkey or other technology to generate a randomization distribution and calculate a p-value. StatKey tip: Use "Test for a Single Proportion" and then "Edit Data" to enter the sample information. er 4 Chapter 4 Hypotheses: H0 : p = 0.5 vs H, : p 0.5; Sample data: P =-= 0.70 with n = 40 A28 ter ter Round the p-value to three decimal places. Chapter 4 Chapter 4 Chapter 4 Chapter 4 Chapter 4, Section 2 p-value - the tolerance is +/-3% Click if you would like to Show Work for this question: Open Show Work xercise 064 Chapter 4, Section Chapter 4 Question Attempts: 0 of 1 used SAVE FOR LATER SUBMIT ANSWER Review Score Revicw Results by Study leNet 000-2018 John Wiley & All Rights Reserved. A Division of John Wiley & Sons Inc. Version 4.24.5.1 19

Explanation / Answer

Here we have to test the hypothesis that,

H0 : p = 0.5 Vs H1 : p not= 0.5

where p is population proportion.

Given that,

n = 40

p^ = 28/40 = 0.7

The test statistic is,

Z = (p^ - p) / sqrt [(p*q) / n]

where q = 1- p = 1-0.5 = 0.5

Z = (0.7 - 0.5) / sqrt [(0.5*0.5) / 40] = 2.53

Now we have to find P-value for taking decision.

P-value we can find in excel.

syntax :

=(1 - NORMSDIST(z))*2

where z is z-score

P-value = 0.0114

P-value < alpha

Reject H0 at 5% level of significance.

Conclusion : The population proportion is differ than 0.5

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