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Elick here to view the standard normal distribution table (page 1). lick here to view the standard normal distribution table (page 2). c) What is the probability that in a random sample of 400 adults, between 28% and 33% do not own a credit card? he probability is 0.6271. Round to four decimal places as needed.) hterpret this probability. 100 different random samples of 400 adults were obtained, one would expect 63 to result in between 28% and 33% not owning a credit card. Round to the nearest integer as needed.) f 400 adults to result in 112 or fewer who do not own a credit card? Why? Select the correct choice below and fill in the answer box to complete your choice. d) Would it be unusual for a random sample Round to four decimal places as needed.) DA. The result is not unusual because the probability that p is less than or equal to the sample proportion is which is less than 5%. D B. The result is unusual because the probability that p is less than or equal to the sample proportion is which is less than 5%. ) C. The result is not unusual because the probability that p is less than or equal to the sample proportion is which is greater than 5%. ) D. The result is unusual because the probability that p is less than or equal to the sample proportion is which is greater than 5%.

Elick here to view the standard normal distribution table (page 1). lick here to view the standard normal distribution table (page 2). c) What is the probability that in a random sample of 400 adults, between 28% and 33% do not own a credit card? he probability is 0.6271. Round to four decimal places as needed.) hterpret this probability. 100 different random samples of 400 adults were obtained, one would expect 63 to result in between 28% and 33% not owning a credit card. Round to the nearest integer as needed.) f 400 adults to result in 112 or fewer who do not own a credit card? Why? Select the correct choice below and fill in the answer box to complete your choice. d) Would it be unusual for a random sample Round to four decimal places as needed.) DA. The result is not unusual because the probability that p is less than or equal to the sample proportion is which is less than 5%. D B. The result is unusual because the probability that p is less than or equal to the sample proportion is which is less than 5%. ) C. The result is not unusual because the probability that p is less than or equal to the sample proportion is which is greater than 5%. ) D. The result is unusual because the probability that p is less than or equal to the sample proportion is which is greater than 5%.

MATLAB: An Introduction with Applications
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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According to a survey in a country, 32% of adults do not own a credit card. Suppose a simple random sample of 400 adults is obtained. Complete parts (a) through (d) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). --- **(c) What is the probability that in a random sample of 400 adults, between 28% and 33% do not own a credit card?** The probability is **0.6271**. (Round to four decimal places as needed.) **Interpret this probability.** If 100 different random samples of 400 adults were obtained, one would expect **63** to result in between 28% and 33% not owning a credit card. (Round to the nearest integer as needed.) --- **(d) Would it be unusual for a random sample of 400 adults to result in 112 or fewer who do not own a credit card? Why? Select the correct choice below and fill in the answer box to complete your choice.** (Round to four decimal places as needed.) - A. The result is not unusual because the probability that \( \hat{p} \) is less than or equal to the sample proportion is ____, which is less than 5%. - B. The result is unusual because the probability that \( \hat{p} \) is less than or equal to the sample proportion is ____, which is less than 5%. - C. The result is not unusual because the probability that \( \hat{p} \) is less than or equal to the sample proportion is ____, which is greater than 5%. - D. The result is unusual because the probability that \( \hat{p} \) is less than or equal to the sample proportion is ____, which is greater than 5%.
Transcribed Image Text:According to a survey in a country, 32% of adults do not own a credit card. Suppose a simple random sample of 400 adults is obtained. Complete parts (a) through (d) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). --- **(c) What is the probability that in a random sample of 400 adults, between 28% and 33% do not own a credit card?** The probability is **0.6271**. (Round to four decimal places as needed.) **Interpret this probability.** If 100 different random samples of 400 adults were obtained, one would expect **63** to result in between 28% and 33% not owning a credit card. (Round to the nearest integer as needed.) --- **(d) Would it be unusual for a random sample of 400 adults to result in 112 or fewer who do not own a credit card? Why? Select the correct choice below and fill in the answer box to complete your choice.** (Round to four decimal places as needed.) - A. The result is not unusual because the probability that \( \hat{p} \) is less than or equal to the sample proportion is ____, which is less than 5%. - B. The result is unusual because the probability that \( \hat{p} \) is less than or equal to the sample proportion is ____, which is less than 5%. - C. The result is not unusual because the probability that \( \hat{p} \) is less than or equal to the sample proportion is ____, which is greater than 5%. - D. The result is unusual because the probability that \( \hat{p} \) is less than or equal to the sample proportion is ____, which is greater than 5%.
The image displays a Standard Normal Distribution (Z-Table) across two pages. Each page contains a diagram and a table. **Diagram Explanation:** - The diagrams above each table illustrate a standard normal distribution curve. - The area under the curve to the left of a specific Z-score is shaded, representing the probability. - A horizontal line at the peak of the curve shows the mean (z = 0). **Standard Normal Distribution Tables:** **Page 1 Table:** - Provides cumulative probabilities for Z-scores from -3.4 to -0.1. - First column lists Z-scores with one decimal place (e.g., -3.4, -3.3,...,-0.1). - The top row shows the second decimal place (0.00 to 0.09). - Probabilities are found at the intersection of the Z-score row and precise value column. For example: - Z = -3.4: The probability for Z = -3.40 is 0.0001. - Z = -2.3: The probability for Z = -2.32 is 0.0107. **Page 2 Table:** - Continues listing cumulative probabilities for Z-scores from 0.0 to 3.4. - Format is similar to Page 1, with the first column listing the Z-scores with one decimal place (e.g., 0.0, 0.1,..., 3.4). - Find probabilities by matching the Z-score row with the specific column value. For example: - Z = 0.0: The probability for Z = 0.00 is 0.5000. - Z = 1.5: The probability for Z = 1.57 is 0.9429. These tables are vital for statistical calculations involving the standard normal distribution, commonly used in hypothesis testing and data analysis.
Transcribed Image Text:The image displays a Standard Normal Distribution (Z-Table) across two pages. Each page contains a diagram and a table. **Diagram Explanation:** - The diagrams above each table illustrate a standard normal distribution curve. - The area under the curve to the left of a specific Z-score is shaded, representing the probability. - A horizontal line at the peak of the curve shows the mean (z = 0). **Standard Normal Distribution Tables:** **Page 1 Table:** - Provides cumulative probabilities for Z-scores from -3.4 to -0.1. - First column lists Z-scores with one decimal place (e.g., -3.4, -3.3,...,-0.1). - The top row shows the second decimal place (0.00 to 0.09). - Probabilities are found at the intersection of the Z-score row and precise value column. For example: - Z = -3.4: The probability for Z = -3.40 is 0.0001. - Z = -2.3: The probability for Z = -2.32 is 0.0107. **Page 2 Table:** - Continues listing cumulative probabilities for Z-scores from 0.0 to 3.4. - Format is similar to Page 1, with the first column listing the Z-scores with one decimal place (e.g., 0.0, 0.1,..., 3.4). - Find probabilities by matching the Z-score row with the specific column value. For example: - Z = 0.0: The probability for Z = 0.00 is 0.5000. - Z = 1.5: The probability for Z = 1.57 is 0.9429. These tables are vital for statistical calculations involving the standard normal distribution, commonly used in hypothesis testing and data analysis.
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