Q: Fewer than 90% of adults have a cell phone. This is a claim about a population proportion so a normal distribution is assumed. The claim undergoes a hypothesis test using a significance level of α = 0.05. The P-value based on sample data is calculated to be 0.0003.   On your graph, next highlight the P-value. (The P-value means that there is a 0.03% chance that your results could be random or happen by chance). State a conclusion about the null hypothesis. (Reject H0 or fail to reject H0.) Without using technical terms or symbols, state a final conclusion that addresses the original claim, i.e., fewer than 90% of adults have a cell phone. Now we will test this hypothesis using the critical value method. The z statistic is most relevant to this test. Using the z-score tables at the back of the textbook, find the z-score for a significance level of α = 0.05. This is the critical value. What is it? Sketch a normal distribution curve, plot the critical value, and highlight the critical or rejection region. (It will look similar to your curve in 2d above). The z test statistic based on sample data is -3.4. Find -3.4 on the z-score table. What is the cumulative area from the LEFT? On your graph, plot the z test statistic. State a conclusion about the null hypothesis. (Reject H0 or fail to reject H0.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Q: Fewer than 90% of adults have a cell phone. This is a claim about a population proportion so a normal distribution is assumed. The claim undergoes a hypothesis test using a significance level of α = 0.05. The P-value based on sample data is calculated to be 0.0003.

 

On your graph, next highlight the P-value. (The P-value means that there is a 0.03% chance that your results could be random or happen by chance).

State a conclusion about the null hypothesis. (Reject H0 or fail to reject H0.)

Without using technical terms or symbols, state a final conclusion that addresses the original claim, i.e., fewer than 90% of adults have a cell phone.

Now we will test this hypothesis using the critical value method. The z statistic is most relevant to this test.

Using the z-score tables at the back of the textbook, find the z-score for a significance level of α = 0.05. This is the critical value. What is it?

Sketch a normal distribution curve, plot the critical value, and highlight the critical or rejection region. (It will look similar to your curve in 2d above).

The z test statistic based on sample data is -3.4. Find -3.4 on the z-score table. What is the cumulative area from the LEFT?

On your graph, plot the z test statistic.

State a conclusion about the null hypothesis. (Reject H0 or fail to reject H0.)

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