Answered: er it is plausible that more than 80%…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 30PPS

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Question

The researchers found that 83.3% of students in the sample have rarely or never used the food pantry on campus. We will test whether it is plausible that more than 80% of all students on campus have rarely or never used the campus food pantry. Identify (describe in words) the parameter and include the appropriate symbol. State the null and alternative hypotheses in symbols.

Use the One proportion inference applet to create a distribution of 1000 simulated sample statistics (with the “Proportion of successes” option) and include a screenshot below that shows what you entered in the applet as well as the resulting distribution. Check the Summary Statistics box and explain why the values of the mean and SD (SE) make sense according to theory-based methods.

Use the applet to find a p-value for this situation. Explain how you do this, and include a screenshot that shows the relevant portion of the applet, including the distribution of simulated sample statistics. State the value of the p-value.

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