In 2011, a U.S. Census report determined that 71% of college students work. A researcher thinks this percentage has changed since then. A survey of 110 college students reported that 91 of them work. Is there evidence to support the reasearcher's claim at the 1% significance level? A normal probability plot indicates that the population is normally distributed. a) Determine the null and alternative hypotheses. Но: Р Ha: p Select an answer (Put in the correct symbol and value) b) Determine the test statistic. Round to two decimals. c) Find the p-value. Round to 4 decimals. P-value = d) Make a decision. O Fail to reject the null hypothesis O Reject the null hypothesis e) Write the conclusion. O There is not sufficient evidence to support the claim that the percentage of college students who work is different than 71%. O There is sufficient evidence to support the claim that the percentage of college students who work is different than 71%.
In 2011, a U.S. Census report determined that 71% of college students work. A researcher thinks this percentage has changed since then. A survey of 110 college students reported that 91 of them work. Is there evidence to support the reasearcher's claim at the 1% significance level? A normal probability plot indicates that the population is normally distributed. a) Determine the null and alternative hypotheses. Но: Р Ha: p Select an answer (Put in the correct symbol and value) b) Determine the test statistic. Round to two decimals. c) Find the p-value. Round to 4 decimals. P-value = d) Make a decision. O Fail to reject the null hypothesis O Reject the null hypothesis e) Write the conclusion. O There is not sufficient evidence to support the claim that the percentage of college students who work is different than 71%. O There is sufficient evidence to support the claim that the percentage of college students who work is different than 71%.
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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![In 2011, a U.S. Census report determined that 71% of college students work. A researcher thinks this percentage has changed since then. A survey of 110 college students reported that 91 of them work. Is there evidence to support the researcher's claim at the 1% significance level? A normal probability plot indicates that the population is normally distributed.
**a) Determine the null and alternative hypotheses.**
\[ H_0: p = \_\_\_\_ \]
\[ H_a: p \, \text{(Select an answer)} \, \_\_\_\_ \]
(Put in the correct symbol and value)
**b) Determine the test statistic. Round to two decimals.**
\[ z = \_\_\_\_ \]
**c) Find the p-value. Round to 4 decimals.**
\[ \text{P-value} = \_\_\_\_ \]
**d) Make a decision.**
- \(\bigcirc\) Fail to reject the null hypothesis
- \(\bigcirc\) Reject the null hypothesis
**e) Write the conclusion.**
- \(\bigcirc\) There is not sufficient evidence to support the claim that the percentage of college students who work is different than 71%.
- \(\bigcirc\) There is sufficient evidence to support the claim that the percentage of college students who work is different than 71%.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fab306750-7c99-4ab7-aa22-5313632298af%2F00db1e70-a43a-449b-aa86-665df634c189%2Fxdmk6v9_processed.png&w=3840&q=75)
Transcribed Image Text:In 2011, a U.S. Census report determined that 71% of college students work. A researcher thinks this percentage has changed since then. A survey of 110 college students reported that 91 of them work. Is there evidence to support the researcher's claim at the 1% significance level? A normal probability plot indicates that the population is normally distributed.
**a) Determine the null and alternative hypotheses.**
\[ H_0: p = \_\_\_\_ \]
\[ H_a: p \, \text{(Select an answer)} \, \_\_\_\_ \]
(Put in the correct symbol and value)
**b) Determine the test statistic. Round to two decimals.**
\[ z = \_\_\_\_ \]
**c) Find the p-value. Round to 4 decimals.**
\[ \text{P-value} = \_\_\_\_ \]
**d) Make a decision.**
- \(\bigcirc\) Fail to reject the null hypothesis
- \(\bigcirc\) Reject the null hypothesis
**e) Write the conclusion.**
- \(\bigcirc\) There is not sufficient evidence to support the claim that the percentage of college students who work is different than 71%.
- \(\bigcirc\) There is sufficient evidence to support the claim that the percentage of college students who work is different than 71%.
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