Hypothesis Testing and P-Values

The video tutorial explains hypothesis testing using a real-world example of colored candies. It starts by introducing the problem and claim, then identifies the sample size and proportions. The requirements for hypothesis testing are checked, followed by defining the null and alternative hypotheses. The test statistic is calculated, and the p-value is determined. Finally, the video concludes with the interpretation of the results, stating whether the null hypothesis is rejected or not.

What percentage of candies does the company claim to be blue?

• 20%

• 30%

• 23%

• 26%

What is the sample size used in the hypothesis test?

• 50

• 100

• 150

• 75

What is the point estimate of blue candies in the sample?

• 0.23

• 0.26

• 0.20

• 0.30

What is the null hypothesis in this test?

• P = 0.26

• P = 0.23

• P = 0.20

• P = 0.30

What type of test is being conducted?

• Right-tailed

• Left-tailed

• One-tailed

• Two-tailed

What is the significance level used in this test?

• 0.05

• 0.01

• 0.001

• 0.10

What is the calculated test statistic?

• 0.50

• 0.80

• 0.60

• 0.71

What is the p-value obtained from the test?

• 0.600

• 0.500

• 0.478

• 0.239

What conclusion is drawn from the hypothesis test?

• Accept the alternative hypothesis

• Fail to reject the null hypothesis

• Reject the null hypothesis

• Reject the alternative hypothesis

Why do we fail to reject the null hypothesis?

• The test statistic is negative

• The p-value is less than the significance level

• The p-value is greater than the significance level

• The sample size is too small