Testing a Hypothesis in Statistics

Is a statement about the parameters of a model

• A statistical hypothesis

• Confidence Intervals

• Normal distribution

• Experimental design

In a random sample of 1000 adult Americans, only 430 could name at least one justice who is currently serving on the US Supreme Court. A claim is that fewer than half of adult Americans can name at least one justice who is currently serving on the US Supreme Court. State the null hypothesis.

• H_o: p <.5, where p is the true proportion of Americans who can name one justice currently serving.

• H_o:p >.5 where p is the true proportion of Americans who can name one justice currently serving.

• H_o:p =.5 where p is the true proportion of Americans who can name one justice currently serving.

A Type I error is when: 

• We obtain the wrong test statistic

• We reject the null hypothesis when it is actually true

• We fail to reject the null hypothesis when it's actually false

• We reject the alternate hypothesis when it's actually true

The study of ways to collect, describe, draw conclusions, and make projections from data

• Statistics

• Inference

• Avergage

• Population

If P-value (right-tail) < \frac{\alpha}{2} , then we conclude …

• There is sufficient evidence to accept the null hypothesis

• There is insufficient evidence to accept the null hypothesis

• There is insufficient evidence to reject the null hypothesis

• There is sufficient evidence to reject the null hypothesis

The area of the shaded region in the graph is …

Determine the correct order of hypothesis testing.

• D-A-B-C

• A-C-D-B

• A-D-C-B

• D-C-B-A

• A probability of error in making conclusion

• The level that determine the trust-worthiness of the conclusion

• A probability related to the test statistic

• A positive number that determine the significance of the conclusion

Identify the correct null hypothesis: Is the proportion of babies born male different from 50%? In a sample of 200 babies, 96 were male. Test the claim using a level of significance of 1%.

• H₀: p = 0.50

• H₀: µ = 100

• H₀: p = 0.48

• H₀: µ = 96

When determining the conclusion of a hypothesis test with alpha = 5%, which of the following is true?

• If the p-value is less than 5%, then we fail to reject the null hypothesis.

• If the p-value is less than 5%, then we reject the null hypothesis.

• If the p-value is more than 5%, the we reject the null hypothesis.

• We need more information.