Understanding Hypothesis Testing and P-Value Calculation

The video tutorial explains how Miriam tests her null hypothesis that the population mean is 18 against the alternative hypothesis that it is less than 18. With a sample size of 7 and a T statistic of -1.9, the video guides viewers through calculating the p-value using a TI-84 calculator. It covers the steps to compute the T statistic, visualize the T distribution, and determine the p-value, which is approximately 0.053. The tutorial concludes with comparing the p-value to a significance level to decide whether to reject the null hypothesis.

What is the null hypothesis in Miriam's test?

• The population mean is not equal to 18.

• The population mean is less than 18.

• The population mean is equal to 18.

• The population mean is greater than 18.

How many observations are in Miriam's sample?

• 8

• 5

• 6

• 7

What is the formula for the T statistic?

• Sample mean plus assumed mean divided by standard error.

• Sample mean minus assumed mean divided by standard error.

• Sample mean plus assumed mean divided by sample size.

• Sample mean minus assumed mean divided by sample size.

What is the assumed mean in Miriam's hypothesis test?

• 19

• 16

• 17

• 18

What does a T distribution represent in hypothesis testing?

• The distribution of significance levels.

• The distribution of T statistics.

• The distribution of p-values.

• The distribution of sample sizes.

What is the significance of a T statistic being negative?

• It indicates a lower mean than assumed.

• It indicates a higher mean than assumed.

• It indicates no difference in means.

• It indicates a larger sample size.

Which function is used on a TI-84 to calculate the p-value?

• Normal distribution function

• Binomial distribution function

• Chi-square distribution function

• T cumulative distribution function

What is the degrees of freedom for Miriam's test?

• 7

• 6

• 8

• 5

What should Miriam do if the p-value is less than the significance level?

• Recalculate the p-value.

• Increase the sample size.

• Reject the null hypothesis.

• Accept the null hypothesis.

What does a p-value of 0.053 suggest about the null hypothesis?

• It should be accepted.

• It should be rejected.

• There is strong evidence against it.

• There is weak evidence against it.