According to a Pew Research Center study, in May 2011, 33% of all American adults had smart phone (one which the user can use to read email and surf the Internet). A communications professor at a university believes this percentage is lower among comm college students. She selects 352 community college students at random and finds that 12 them have a smart phone. In testing the hypotheses: Ho: p= 0.33 versus Ha: p < 0.33 Do the hypothesis test. Use a level of significance of a = 0.05; Use the unrounded values in Excel to find the answers for #3 and #4. 1. This is an example of a 2. Find the standard error. 3. Find the z value. V hypothesis test.
According to a Pew Research Center study, in May 2011, 33% of all American adults had smart phone (one which the user can use to read email and surf the Internet). A communications professor at a university believes this percentage is lower among comm college students. She selects 352 community college students at random and finds that 12 them have a smart phone. In testing the hypotheses: Ho: p= 0.33 versus Ha: p < 0.33 Do the hypothesis test. Use a level of significance of a = 0.05; Use the unrounded values in Excel to find the answers for #3 and #4. 1. This is an example of a 2. Find the standard error. 3. Find the z value. V hypothesis test.
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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Transcribed Image Text:**Understanding Hypothesis Testing in Statistics**
According to a Pew Research Center study conducted in May 2011, 33% of American adults possessed a smartphone capable of reading emails and surfing the Internet. A communications professor suspects that this percentage is lower among community college students.
To test this hypothesis, she randomly selects a sample of 352 community college students and discovers that 122 of them own a smartphone. The hypotheses are set up as follows:
- **Null Hypothesis (H0):** p = 0.33
- **Alternative Hypothesis (Ha):** p < 0.33
The hypothesis test is performed at a significance level of α = 0.05.
### Using Excel for Statistical Analysis
Follow these steps using Excel to determine the hypothesis test results for questions 3 and 4:
1. **Type of Hypothesis Test:**
Indicate if it’s a one-tailed or two-tailed test.
2. **Find the Standard Error:**
Calculate the standard error of the sample proportion.
3. **Find the Z Value:**
Determine the z value based on the sample data.
4. **Find the P-Value:**
Calculate the p-value to understand the statistical significance of the test.
These steps guide the process of assessing the professor’s belief statistically through hypothesis testing.
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