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Ted123
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Homework Statement
During a water shortage in Florida, restaurants were asked not to serve water with meals unless requested to do so by customers. In the initial 3-month period, 45% of the customers served at a particular restaurant requested water with their meal. Recently, the restaurant placed a card at each table describing the water-shortage problem and pointing out that considering the drinking water, the ice and the the water needed to wash the glass, it requires 0.7litres of water for every 0.25litres of water served. After placing the information cards on the tables, a sample of 150 customers showed that 53 customers ordered water with their meals. The restaurant would like to use a statistical test to determine if placing the cards at each table significantly decreases the proportion of customers requesting water with their meal at a 0.02 level of significance. What is your conclusion? Justify your answer by clearly specifying a model for the observations, the null and alternative hypothesis, and a rejection rule that gives a test of size 0.02.
The Attempt at a Solution
Can anyone help me first formulate this as a hypothesis test and then help me do the test as I don't really 'get' this!
Sample size: [itex]n=150[/itex]
Size of test: [itex]\alpha=0.02[/itex]
Null Hypothesis [itex]H_0: \mu _0 =\;? [/itex] vs Alternative [itex]H_A: \mu _0 <\;?[/itex]
Test statistic: [itex]\overline{X} = \frac{1}{n} \sum^n_{i=1} X_i = \frac{53}{150}[/itex]
Rejection Rule : Reject [itex]H_0[/itex] if ?