Directions Read the following problem In your drop box submi

Directions:           Read the following problem. In your drop box submission, please include the following information:

        a.     Determine if the problem is either a test of hypothesis, a confidence interval or something else and specify the ‘key words’ found in the problem that demonstrate your choice.    

        b.     Determine the procedure name and parameters involved for each problem (use the Stat 200 Formulas and Techniques Summary document.) Specify the ‘key words’ found in the problem that lead you to this choice.

        c.     If the problem is a hypothesis test, indicated if it has a lower-tail, upper-tail, or two-tail alternative hypothesis as well as the test statistic formula for the test. If the problem is a confidence interval then indicate the formula used for the margin of error.

You DO NOT need to do the ACTUAL test of hypothesis, confidence interval, etc. in order to submit in the dropbox, just answer parts a, b, and c for the problem.

A survey of 500 households found that the family room was the primary television location in 415 homes. Is there evidence that the true population proportion of households having the family room as the primary television location is actually less than .85 at the 5% significance level? You DO NOT need to do the ACTUAL test of hypothesis, confidence interval, etc. in order to submit in the dropbox, just answer parts a, b, and c for the problem.

Solution

a) The problem is : Test Of Hypothesis

b) Procedure Name : z-score Test

Parameters involved : Sample proportion , Population Proportion , Sample size

c) Hypothesis Test Type : Lower-tail

Formula :

z = (p-P)/sqrt(P(1-P)/n)

where,

p = Sample Proportion

P = Population proportion

n = Sample size