A recent poll randomly selects 1000 registered voters residing in Nassau County. For this sample 630 respondents state that they will not vote for a stricter requirement for eligibility in the Medicare criteria for seniors citizens.

a) What is the population and parameter that is being discussed?

b) For this parameter identify the point estimate.

c) Determine the estimate of the standard error.

d) Calculate the margin of error.

e) Construct a 95% Confidence Interval for the population parameter.

f) Interpret the meaning of the 95% Confidence Interval for the population parameter

Historically, the mean dollar spent for in-store retail purchases (charges) on the Vista Charge Card the day after Thanksgiving Day(BLACK FRIDAY) for customers who use their Vista Charge Card that day for in-store retail shopping is $870 . The population standard deviation is not known.

Because of increased use of on-line purchasing, Vista’s Vice President of Electronic Marketing believes in-store retail purchasing has decreased and randomly samples 500 customer accounts, and found that those customer’s spent a mean dollar amount of 855 dollars for in-store retail purchases with *s *= 60 dollars.

a) State the null and alternative hypothesis in symbols and in words.

b) Calculate the expected results for the hypothesis test sampling distribution, assuming the null hypothesis is true. (i.e., name and graph of sampling distribution, mean and standard error)

c) Identify the *standard *distribution that best approximates the sampling distribution.

d) Formulate the decision rule(use can use either critical test scores or p-values)

e) Determine the statistical sample results and the test statistic.

f) Determine the conclusion in terms of the null and alternative hypotheses. Does the sample results indicate that the vice president’s claim is supported at alpha = 5%?

Subject | Mathematics |

Due By (Pacific Time) | 05/06/2013 12:00 am |

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