Module 8 Part 2
Here are the steps in a hypothesis test
1. Write the hypotheses a) determine the parameter b) write H
0
and H a c) decide alpha
2. Collect the data a) gather the data b) check if the conditions are met c) compute the statistics
Name_______________________________
3. Assess the evidence (if H
0
is true, what is the probability of getting what we got?) a) compute SE b) compute the test-statistic c) compute the P-value
4. State the conclusion a) decide to accept or reject H
0 b) state the conclusion in common language
1. A friend says that he conducted informal research and estimates that 70% of teenagers prefer bottled water to tap water. You find this estimate to be low, and decide to test your friend’s hypothesis. You randomly sample 50 teenagers and find that 45 prefer bottled water. At the 5% level of significance, what can you conclude?
1. Write the hypotheses a) determine the parameter b) write H
0
and H a c) decide alpha
2. Collect the data a) gather the data b) check if the conditions are met c) compute the statistics
3. Assess the evidence a) compute SE b) compute the test-statistic c) compute the P-value
4. State the conclusion a) decide to accept or reject H
0 b) state the conclusion in common language
2. According to CIVIC (www.civicyouth.org) 68% of youth who voted in the 2008 presidential election voted for Barack Obama. You question whether youth support has remained the same, and decide to gather sample data. You find that, in a random sample of 60 youth, 49 youth say they support Barack Obama. What can you conclude? Conduct this test at the 5% level of significance.
1. Write the hypotheses a) determine the parameter b) write H
0
and H a c) decide alpha
2. Collect the data a) gather the data b) check if the conditions are met c) compute the statistics
3. Assess the evidence a) compute SE b) compute the test-statistic c) compute the P-value
4. State the conclusion a) decide to accept or reject H
0 b) state the conclusion in common language
3. According to the Statistical Abstract of the United States
1
, in 2007, approximately 43% of sixth grade students reported being bullied at school. Due to increased education and outreach, you are convinced that the proportion of students being bullied at school has decreased. Suppose you recently randomly sampled 75 sixth grade students and found that 30 students have experienced bullying at school. At the 5% level of significance, what can you conclude?
1. Write the hypotheses a) determine the parameter b) write H
0
and H a c) decide alpha
2. Collect the data a) gather the data b) check if the conditions are met c) compute the statistics
1 Source: http://www.census.gov/compendia/statab/2011/tables/11s0247.pdf.
3. Assess the evidence a) compute SE b) compute the test-statistic c) compute the P-value
4. State the conclusion a) decide to accept or reject H
0 b) state the conclusion in common language
4. The Statistical Abstract of the United States
2
reports that in 2008, approximately 17% of male youth were told that they had asthma. You are concerned with the possibility that an even greater proportion of male youth may be getting asthma. In a recent random sample of 100 male youth, 22 responded that they were told they had asthma. At the 1% level of significance, can you conclude that asthma among male youth is increasing?
1. Write the hypotheses a) determine the parameter b) write H
0
and H a c) decide alpha
2. Collect the data a) gather the data b) check if the conditions are met c) compute the statistics
2 Source: http://www.census.gov/compendia/statab/2011/tables/11s0189.pdf
3. Assess the evidence a) compute SE b) compute the test-statistic c) compute the P-value
4. State the conclusion a) decide to accept or reject H
0 b) state the conclusion in common language
5. A 2010 Gallup poll revealed that 53% of Americans believe global warming is a serious threat to themselves and their family
3
. In 2011, a random survey of 150 Americans was conducted and 78 people responded that they believe global warming is a serious threat to themselves and their family. At the 5% level of significance, determine whether the proportion of Americans who view global warming as a threat has decreased?
1. Write the hypotheses a) determine the parameter b) write H
0
and H a c) decide alpha
2. Collect the data a) gather the data b) check if the conditions are met c) compute the statistics
3 Gallup.com website article, Fewer Americans, Europeans View Global Warming as a Threat, April 20, 2011.
3. Assess the evidence a) compute SE b) compute the test-statistic c) compute the P-value
4. State the conclusion a) decide to accept or reject H
0 b) state the conclusion in common language