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Pages:
3 pages/≈825 words
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Style:
APA
Subject:
Mathematics & Economics
Type:
Math Problem
Language:
English (U.S.)
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Date:
Total cost:
$ 14.58
Topic:

Calculating Sample Proportion, Single-Proportion Sampling Error, and Probability

Math Problem Instructions:

Sampling Distribution
Notes for Writer: Please use Excel Spreadsheet for this assignment.
Instructions: Please use Excel an Excel Spreadsheet for this assignment.
A computer scanner can read a bar code on a package correctly 97% of the time. One company monitors the accuracy of the scanner by randomly sampling packages and verifying that each package has been correctly scanned. Random samples of size n = 25, 50, 100, and 200 have recently been taken with the following results:
Sample Size, n Number Correctly Scanned
25 24
50 49
100 95
200 193
To complete this activity, use Excel to:
1. Calculate the sample proportion for each sample size.
2. Calculate the single-proportion sampling error for each sample size.
3. Calculate the probability of finding 198 correctly scanned packages, for a sample of size n=200.
Submit your work Excel file.

Math Problem Sample Content Preview:

Sampling Distribution
Your Name
Subject and Section
Professor’s Name
November 15, 2021
Question 1. Calculate the sample proportion for each sample size.
sample size, n

Number Correctly Scanned

Sample Proportion, p̂

25

24

0.96

50

49

0.98

100

95

0.95

200

193

0.965

QUESTION 2 - Single Proportion Sampling error for each Sample Size
The formula for the determination of SP Sampling Error (SE) is the following:
=SQRT(('p̂'*(1-'p̂'))/'n') CITATION Stand \l 1033 (StatTrek.com, n.d.)
sample size, n

Number Correctly Scanned

Sample Proportion (p̂)

SP Sampling Error (SE)

25

24

0.96

0.03919

50

49

0.98

0.01980

100

95

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