Hypothesis Testing for Proportions

What is the main goal of a hypothesis test for the difference between two sample proportions?

• To find the average of the two sample proportions.

• To calculate the standard deviation of the samples.

• To determine if the observed difference is due to natural variation or a significant difference.

• To compare the means of two samples.

What is the null hypothesis in a hypothesis test for the difference between two sample proportions?

• The proportion from sample 1 is less than the proportion from sample 2.

• There is no difference between the two populations.

• The proportion from sample 1 is greater than the proportion from sample 2.

• There is a significant difference between the two populations.

Which of the following is NOT a condition that must be met for the hypothesis test?

• Both samples must be selected randomly.

• Both samples must have the same sample size.

• Both samples must be less than 10% of their respective populations.

• Both samples must have 10 successes and 10 failures.

Why is it important for the two samples to be independent of each other?

• To reduce the standard error.

• To ensure that the sample sizes are equal.

• To make the calculations easier.

• To ensure that the outcome of one sample does not affect the outcome of the other.

What is the purpose of calculating the standard error in a hypothesis test?

• To find the average of the sample proportions.

• To determine the variability of the observed difference.

• To calculate the mean of the samples.

• To compare the standard deviations of the samples.

What is the concept of 'pooling' in the context of hypothesis testing?

• Combining the sample sizes to increase the total number of observations.

• Assuming there is no difference and combining the samples to find a common proportion.

• Calculating the average of the two sample proportions.

• Finding the standard deviation of the combined samples.

In the example problem, what is the observed difference between the proportions of students who don't eat breakfast at Wilcox and Bissell schools?

• 0.1733

• 0.1957

• 0.2375

• 0.0642

Tags

NGSS.HS-LS3-3

How is the z-score calculated in the example problem?

• By dividing the observed difference by the standard error.

• By subtracting the standard error from the observed difference.

• By adding the observed difference to the standard error.

• By multiplying the observed difference by the standard error.

What conclusion is drawn if the p-value is greater than the alpha value?

• Reject the null hypothesis.

• Fail to reject the null hypothesis.

• There is a significant difference.

• Accept the alternative hypothesis.

In the example problem, what is the final conclusion based on the p-value?

• Bissell has a higher proportion of students who don't eat breakfast.

• There is a significant difference between the two schools.

• There is no significant difference between the two schools.

• Wilcox has a higher proportion of students who don't eat breakfast.