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Compute the z-test statistic. Z= (Round to two decimal places as needed.) ompute then yolu

Compute the z-test statistic. Z= (Round to two decimal places as needed.) ompute then yolu

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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Z?

**2018 Poll Analysis on News Consumption Through a Social Media Site** **Overview:** A 2018 survey sampled 3,619 users of a social media platform and found that 2,463 users get most of their news about world events from the site. Previous research in 2013 indicated that only 46% of users relied on the site for their world news. This analysis explores whether there has been a significant change in this pattern over time. **Questions:** a. Does the current sample provide evidence that the proportion of users getting their world news from the site has changed since 2013? A hypothesis test at a 0.05 significance level will be performed. b. Construct a 95% confidence interval to determine the proportion of all site users obtaining most of their world news from the site in 2018. Evaluate how the confidence interval supports the hypothesis test conclusion. --- **Hypothesis Testing:** **a. Formulation of Hypotheses:** - **Null Hypothesis (H₀):** p = 0.46 (The proportion of users getting their world news from the site has not changed.) - **Alternative Hypothesis (Hₐ):** p ≠ 0.46 (The proportion of users getting their world news from the site has changed.) **b. Computation:** - **Z-Test Statistic Calculation:** - The z-value calculation needs to be completed (round to two decimal places). - **P-Value Calculation:** - The calculated p-value is 0.000 (round to three decimal places). **Interpretation:** Based on the p-value, the null hypothesis (H₀) should be rejected, suggesting that there is a statistically significant change in the proportion of users who get their world news from the site. **Conclusion:** The data provides strong evidence of a shift in user behavior regarding news consumption on the social media platform from 2013 to 2018. Further exploration using a confidence interval will offer additional insights into this change.
Transcribed Image Text:**2018 Poll Analysis on News Consumption Through a Social Media Site** **Overview:** A 2018 survey sampled 3,619 users of a social media platform and found that 2,463 users get most of their news about world events from the site. Previous research in 2013 indicated that only 46% of users relied on the site for their world news. This analysis explores whether there has been a significant change in this pattern over time. **Questions:** a. Does the current sample provide evidence that the proportion of users getting their world news from the site has changed since 2013? A hypothesis test at a 0.05 significance level will be performed. b. Construct a 95% confidence interval to determine the proportion of all site users obtaining most of their world news from the site in 2018. Evaluate how the confidence interval supports the hypothesis test conclusion. --- **Hypothesis Testing:** **a. Formulation of Hypotheses:** - **Null Hypothesis (H₀):** p = 0.46 (The proportion of users getting their world news from the site has not changed.) - **Alternative Hypothesis (Hₐ):** p ≠ 0.46 (The proportion of users getting their world news from the site has changed.) **b. Computation:** - **Z-Test Statistic Calculation:** - The z-value calculation needs to be completed (round to two decimal places). - **P-Value Calculation:** - The calculated p-value is 0.000 (round to three decimal places). **Interpretation:** Based on the p-value, the null hypothesis (H₀) should be rejected, suggesting that there is a statistically significant change in the proportion of users who get their world news from the site. **Conclusion:** The data provides strong evidence of a shift in user behavior regarding news consumption on the social media platform from 2013 to 2018. Further exploration using a confidence interval will offer additional insights into this change.
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