Question: 1. define the term p-value. Make sure you address the following points: How does the p-value of a hypothesis test relate to rejection regions? How

1. define the term "p-value." Make sure you address the following points:

How does the p-value of a hypothesis test relate to rejection regions?
How can we use a p-value to decide to reject or fail to reject a null hypothesis with a given alpha level?
What is the connection between p-values and confidence intervals?

2. Suppose we computed a difference of means of 10 with an estimated standard error 5. What would be the p-value for the null hypothesis that the population difference of means is 0 against the alternative hypothesis that it is not zero. At the alpha = 0.01 level, would you reject the null hypothesis?

3. Explain why a correlation coefficient of zero does not necessarily indicate no relationship between two variables.

4. round (acs_pos_income_ ["HINCP"].mean(()

a. Combine the sample mean above with the results from (a) and (b) to perform a hypothesis test with

Null hypothesis: The average income of american households is $90,000
Alternative hypothesis: Average income is not $90,000
A Type I error level of 0.003 (=0.003)

State your rejection region and observed test statistic value. Do you reject the null hypothesis or fail to reject the null hypothesis?

b. Again using the previous material, an approximate 95% confidence interval for the population mean. Interpret this interval in terms of the types of two sided null hypotheses you would and would not reject at the 5% level using this data set.

Question: 1. define the term p-value. Make sure you address the following points: How does the p-value of a hypothesis test relate to rejection regions? How

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