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The Practice of Statistics | 5th Edition | ISBN: 9781464108730 | Authors: Daren S. Starnes, Josh Tabor
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Home computers Refer to Exercise 31. In Jasons SRS, 41 of the students had a computer at

Chapter 9, Problem 35

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QUESTION:

Refer to Exercise 31. In Jason’s SRS, 41 of the students had a computer at home.

(a) Calculate the test statistic.

(b) Find the P-value using Table A or technology. Show this result as an area under a standard Normal curve.

Questions & Answers

QUESTION:

Refer to Exercise 31. In Jason’s SRS, 41 of the students had a computer at home.

(a) Calculate the test statistic.

(b) Find the P-value using Table A or technology. Show this result as an area under a standard Normal curve.

ANSWER:

Problem 35

Home computers Refer to Exercise 31. In Jason's SRS, 41 of the students had a computer at home.

(a) Calculate the test statistic.

(b) Find the P-value using Table A or technology. Show this result as an area under a standard Normal curve.

                                                               Step by Step Solution

Step 1 of 2

(a)

Given,

Sample size, n = 60 (Exercise-31)

The number of success, x = 41

The claimed proportion,  = 80% = 0.80.

Then, calculate the sample proportion using the formula, ie;

Next determine the test statistic,

A test statistic measures how far a sample statistic diverges from what we would expect if the null hypothesis  were true, in standardized units. That is,

The test statistic is -2.26

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