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The Marriott Hotel marketing team wants to estimate ρ, the proportion of the hotel guests who were return visitors in the past three years. They select a simple random sample of 150 guests from the past three year's records and finds that 27 of the sampled guests are return visitors.
a) Compute a point estimate for ρ.
b) What are the upper and lower bounds for the 90% confidence interval for ρ (4 decimals)?
c) Marriott has decided to offer a room discount for returning visitors unless the sample provides evidence (with 90% confidence) that ρ is greater than 0.15. In that case, Marriott will not offer the discount. State the null and alternative hypotheses (in symbols) that need to be tested in order to make the decision.
d) Based on the confidence interval in part b, would you conclude that the Marriott should offer the room discount? (Justify your response).
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Process measurement. Based on your description of the process in Exercise 27.1, suggest specific variables that you might measure in order to
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15 pieces are selected at random for inspection. What is the probability of exactly 4 defective pieces being found in the sample?
Perform a two-sample z-test for proportions to test if men are more likely than women to make online purchases of books.
Bi-lo Appliance Stores has outlets in several large metropolitan areas. The general sales manager plans to air a commercial for a digital camera on selected local TV stations prior to a sale starting on Saturday and ending Sunday.
The final score in a statistics course follows a normal distribution with mean 68 and standard deviation 12. What proportion of students in the course would pass if they need at least 50 to pass in the course
the lifespan of a particular brand of light bulb is normally distributed with a mean life of 400 h and a standard
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