Question

From a random sample of 780 US homes it was found that 655 had broadband Internet access. Construct a 95% confidence interval for the proportion of US homes with broadband Internet access.

Technology results for this problem:

1. Give the null and alternative hypotheses; (2 points)

2. Is this a one‐tailed or two‐tailed test? Think about the null hypothesis. How do you know

   that this is a one or two‐tailed test? (1 point)

3. Show whether the criteria for approximate normality are met. (1 point)

4. Summarize the sample statistics (1 point)

5. Give the formula for the test statistic; (1 point)

6. Using the technology results provided, point out the value for the test statistics, degree of

   freedom, and the p-value. (1 point)

7. Using the p-value and the significance level, make a decision on the null hypothesis. (1

   point)

8. What decision can you make about the alternative hypothesis? (1 point)

9. Write your conclusion in the context of the problem. (1 point)

If the problem is a confidence interval:

1. Show whether the criteria for approximate normality are met. (1 point)

2. Summarize the sample statistics. (1 point)

3. Give the formula for the margin of error or test statistic. (1 point)

4. Give the formula for the confidence interval. (1 point)

5. Based on the technology results provided, write the 95% confidence interval. (3 points)

6. Interpret the results in the context of the problem (3 points)

Answer 1

Note:

To define the hypothesis, populaiton parameter and claim need to test requried.