Do older adults use Facebook as much as adults in general? FaceBook's financial report states that it has 2.85 billion monthly users, which is about 53.9% of the world's adult population. In a Pew Research random sample of 429 U.S. adults age 65 and older, 215 said that they used FaceBook. Is the proportion of U.S. adults age 65 and older who use Facebook lower than 53.9%?

At the alpha = 0.05 level, is there sufficient evidence to conclude that less than 53.9% of U.S. adults age 65 and older use Facebook?

1.State the name of the appropriate statistical procedure you will use (e.g., one-sample t test for means)

2.Describe the parameter of interest in the context of the problem.

3.State the null and alternative hypotheses.

4.Write down the significance level.

5.List and check the conditions for the statistical procedure you named above.

6.Obtain the value of the sample proportion (Round your answer to FOUR decimal places). Show your work.

7.Write the calculated test statistic (including your calculations) and its associated p-value using the appropriate table, not from statistical software.Do not round off in the intermediate steps, only the final answer should be rounded off to two decimal places.Show formula and calculations.

8. Answer the question posed in the STATE step in context. Do this by including these three parts in your conclusion (3 pts):

Compare p-value with

Decide whether to reject or fail to reject the null hypothesis

State your conclusion in context

9.STATE: What is a 90% confidence interval estimate for the proportion of U.S. adults age 65 and older who use Facebook? PLAN:

State the name of the appropriate statistical procedure you will use to answer the research question above (e.g. one-sample t confidence interval for means). (1 pt) (Note: You have already described the parameter being estimated in part A, so you don't have to repeat it here.)

10.SOLVE:

You have already listed the conditions, now check the condition for the normality of the sampling distribution of p-hat for confidence interval estimation.

11.Write down the confidence level and the z* critical value.

12.Calculate the confidence interval. Be sure to show your work.Do not round off in the intermediate steps, only the final answer should be rounded off to two decimal places.

13.CONCLUDE:

Interpret your confidence interval in context. Do this by including these three parts in your conclusion:

Level of confidence

Parameter of interest in context

The interval estimate