**Hypothesis Test for Proportion of Sleep Apnea in Inner City Residents**13% of all Americans suffer from sleep apnea. A researcher suspects that a higher percentage of those who live in the inner city have sleep apnea. Of the 321 people from the inner city surveyed, 51 of them suffered from sleep apnea. What can be concluded at the level of significance of α = 0.01?a. **For this study, we should use:** - `Test Statistic` = zb. **The null and alternative hypotheses would be:** - \( H_0 \): \( p \leq 0.13 \) - \( H_1 \): \( p > 0.13 \)c. **The test statistic (z) =** \[ \frac{\hat{p} - p_0}{\sqrt{\frac{p_0(1 - p_0)}{n}}} \] \[ \hat{p} = \frac{51}{321} \approx 0.159 \] \[ z = \frac{0.159 - 0.13}{\sqrt{\frac{0.13 \times (1 - 0.13)}{321}}} \approx 1.501 \]d. **The p-value =** \[ 0.0668 \]e. **The p-value is:** \[ > \alpha \]f. **Based on this, we should:** - Fail to reject the null hypothesis.g. **Thus, the final conclusion is that:** - The data suggest the population proportion is not significantly larger than 13% at α = 0.01, so there is not sufficient evidence to conclude that the population proportion of inner city residents who have sleep apnea is larger than 13%.h. **Interpret the p-value in the context of the study:** - If the sample proportion of inner city residents who have sleep apnea is 16% and if another 321 inner city residents are surveyed then there would be a 6.2% chance of concluding that more than 13% of all inner city residents have sleep apnea.

It is given that Population proportion, p = 13% = 0.13 Sample size, n = 321 Favourable cases, X =…

Answered: sleep apnea. What can be concluded at…

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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A news article that you read stated that 59% of voters prefer the Democratic candidate. You think that the actual percent is different. 120 of the 236 voters that you surveyed said that they prefer the Democratic candidate. What can be concluded at the 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ?Select an answerv (please enter a decimal) H.:?Select an answerv (Please enter a decimal) c. The test statistic ?V = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ?va f. Based on this, we should Select an answerv the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the population proportion is not significantly different 59% at a = 0.05, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is different 59%. O The data suggest the…
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