Quiz #3

I wanted to test the hypothesis that more than 2/3 (67%) of VCU business students are non-smokers. If a (alpha level)=0.05, what is the conclusion of this hypothesis test?

Fail to reject HO because the P-value is greater than 0.05

A high P-value is strong evidence in favor of the null hypothesis. True or false?

False. A high P-value merely means that the data are consistent with the null hypothesis

It is better to use an alpha level of 0.05 than an alpha level of 0.01. True or false?

False. A lower alpha level lowers the probability of a Type I error but increases the probability of a Type II error

If the null hypothesis is true, you can't get a P-value below 0.01. True or false?

False. You will get a P-value below 0.01 about once in a hundred times

The US Department of Commerce found a 95% confidence interval for the difference in the proportion of women's and men's high school graduation rates to be (0.0236, 0.0404). The order of subtraction is women-men. How do we interpret the meaning of this confidence interval?

I'm 95% confident the population proportion of women who graduate from high school is between 2.36% and 4.04% greater than for men

HO: p=0.42 HA: p>0.42 I got a P-value of 0.023. If I change the alternative hypothesis to HA: p does not equal 0.42, what would happen to the P-value?

It would change to 0.046

A P-value below 0.05 is always considered sufficient evidence to reject a null hypothesis. True or false?

The statement is false because a P-value in this range does not give a definitive conclusion unless the level of significance is known

A high P-value shows that the null hypothesis is true. True or false?

The statement is false because a high P-value indicates that the data are consistent with the null hypothesis, but it does not prove that the null hypothesis is true

A very high P-value is strong evidence that the null hypothesis is false.

The statement is false because a very high P-value indicates that the data are consistent with the null hypothesis, but it provides no evidence for rejecting the null hypothesis

A very low P-value proves that the null hypothesis is false.

The statement is false because a very low P-value leads to rejecting the null hypothesis, but it does not prove that the null hypothesis is false

I wanted to test the hypothesis that more than 2/3 (67%) of VCU business students are non-smokers. If a (alpha level)=0.05, what is the conclusion of this hypothesis test?

There is weak enough evidence to show the population proportion of VCU business students who are non-smokers is more than 0.67

A very low P-value provides evidence against the null hypothesis

True

If the P-value is 0.01, we reject the null hypothesis for any alpha level greater than 0.01. True or false?

True

If we use an alpha level of 0.01, a P-value of 0.001 is statistically significant. True or false?

True

If we use an alpha level of 0.01, then we reject the null hypothesis if the P-value is 0.001. True or false?

True