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Ch 17 Alternative Hypotheses, P-Values & Using the TI-84 Calculator

Last updated over 4 years ago
10 questions
4

Match each term with the description

Draggable itemCorresponding Item
What we should conclude is true if the data are out of line with our original assumption about the parameter.

The value from the population or observed in the past that is claimed not to have changed or to not be different in the null hypothesis.
We calculate a proportion from the sample, then look to see how likely it would be to observe this statistic if the null hypothesis were actually true.
What we should do if it's reasonable to believe that our observed data could have occurred by chance, nothing unusual has happened.
We accept or reject the null hypothesis, give our reason and state this in context of the problem.
We reject the null hypothesis when in fact it is true. Like a false negative.
We don't reject the null hypothesis when in fact it was false. Like a false positive.
Used to determine statistical significance. A calculation that tells us how many standard deviations a value is away from the population proportion or mean.

4

Put the following steps of a hypothesis test in order:

  1. We make a decision: if the data are far out of line with the null hypothesis model, we will reject the null hypothesis that nothing has happened, OR if the data are consistent with the null hypothesis model, we will not reject the hypothesis.
  2. We state our conclusion in the context of the original question.
  3. We proceed with our test, drawing the hypothesized model and calculating the z-value for the data.
  4. We form an alternative hypothesis that is either one- or two-tailed based on what we want to learn.
  5. We form a null hypothesis specifying the parameter of a model we'll test using our data.
  6. We check the appropriate assumptions and conditions.
4

According to national studies, 30% of young adult Americans (ages 18-30) report attending a religious service at least once a week. A group of local clergy men believes the percentage is higher in their area.
State the null and alternative hypothesis:
Ex.

4

According to national studies, 30% of young adult Americans (ages 18-30) report attending a religious service at least once a week. A group of local clergy men believes the percentage is higher in their area so they employ a polling organization.
A poll finds that 48 out of 132 randomly sampled young adults report attending religious services at least once a week. Is this convincing evidence that the proportion is higher in this town?
Use the TI-84 to perform a 1-Proportion Z-Test:
Stat, Calc, #5 (1-PropZTest)
Give the z-score for this sample.

4

Continue the study of young adults attending religious services.
Using the z-score from #4, is this convincing evidence that the proportion is higher in this town?

4

Continue the study of young adults attending religious services.
A poll finds that 48 out of 132 randomly sampled young adults report attending religious services at least once a week. Is this convincing evidence that the proportion is higher in this town?
You performed a 1-Proportion Z-Test in #4, what was the P-Value?

4

What does the P-Value from #6 mean?

4

Continue the study of young adults attending religious services, the proportion is thought to be 30% for the area.
A poll finds that 48 out of 132 randomly sampled young adults report attending religious services at least once a week. You will determine if the sample proportion is within the 95% confidence interval?

Create a 1-Proportion Z-Interval:
Stat, Test, alpha, math.

Record the interval using parenthesis, separate the values by a comma followed by a space.

Round the values to three places past the decimal point.

4

Continue the study of young adults attending religious services, the proportion is thought to be 30% for the area.
A poll finds that 48 out of 132 randomly sampled young adults report attending religious services at least once a week. Is this convincing evidence that the proportion is higher in this town?
Calculate the sample proportion, is it within the 95% confidence interval you created for #8? (this is another way to check for statistical significance!)
List the sample proportion (rounded to three places past the decimal) followed by a comma and
give your answer of yes or no.
Ex. 0.489, no

4