Significance Tests for Proportions

What is the name of the claim we are trying to find evidence against?

• null hypothesis
• alternative hypothesis
• margin of error
• point estimate

What is it called when something is unlikely to happen by chance alone?

• statistically significant
• alpha
• confidence level
• probability

A sports publication states that 32% of married men cannot watch football games because their wives prevent it.  You think that this is untrue.  What is your null hypothesis?

• The proportion of married men who cannot watch football because their wives prevent it is 0.32. (p = 0.32)

• The proportion of married men who cannot watch football because their wives prevent it is greater than 0.32. (p > 0.32)

• The proportion of married men who cannot watch football because their wives prevent it is less than 0.32. (p < 0.32)

In formulating hypotheses for a statistical test of significance, the null hypothesis is often

• a statement of "no effect" or "no difference"

• the probability of observing the data you actually obtained

• a statement that the data are all 0

• 0.05

Which of the following is not an option for an alternate hypothesis? 

• H_a = k
• H_a > k
• H_a < k
• H_a ≠ k

When making the decision regarding the null hypothesis, we should reject when the p-value is _____________.

• large enough
• even
• small
• negative

What is the main goal of hypothesis testing?

• To determine the sample size

• To estimate the population parameters

• To make inferences about the population based on sample data

• To calculate the mean of the population

Tags

CCSS.HSS.IC.B.3

Which of the following is true about the null hypothesis?

• It is the hypothesis that the researcher tries to prove

• It states that there is a significant difference or effect

• It is assumed to be true until evidence suggests otherwise

• It is always based on previous research findings

A researcher is conducting a study of charitable donations by surveying a simple random sample of households in a certain city. The researcher wants to determine whether there is convincing statistical evidence that more than 50 percent of households in the city gave a charitable donation in the past year. Let p represent the proportion of all households in the city that gave a charitable donation in the past year. Which of the following are appropriate hypotheses for the researcher?

• Ho: p = 0.5 and Ha: p > 0.5

• Ho: p = 0.5 and Ha: p ≠ 0.5

• Ho: p = 0.5 and Ha: p < 0.5

• Ho: p > 0.5 and Ha: p ≠ 0.5

• Ho: p > 0.5 and Ha: p = 0.5

In a population of bats living in a certain region, 30 percent have a wingspan greater than 10 inches. In a random sample of 80 bats living outside of the region, 20 had a wingspan greater than 10 inches. Consider a one-sample -test to investigate whether there is evidence that the proportion of bats with a wingspan greater than 10 inches living outside the region is different from that of the bats living in the region. Which of the following is the correct test statistic?

Tags

CCSS.HSS.IC.B.4