answer choices : Shuffle and draw (with/without) replacement _____ cards represe
ID: 3074294 • Letter: A
Question
answer choices :
Shuffle and draw (with/without) replacement _____ cards representing
Calculate the propotion of (red/black) cards in the (deck/sample)
The P-value will be the proporion of simulations where Psim is (greater than/ less than/ futher from 0.48)
(14 points) Loyalty cards. Records for the past several years show that 48% of customers at a coal game shop use a customer loyalty card. Due to a recent promotion of the cards, the manager wants to know if the percentage has increased. The manager decides to take a simple random sample of 150 customers and finds that 88 of them used the customer loyalty card at their last transaction. Round all numeric results to 3 decimal places 1. Write the hypotheses to test if the proportion of customers using the card has increased from 48%. Ho: The proportion of customers using the card ? increased. HA: The proportion of customers using the card increased. 2.Calculate the proportion of customers in the sample who used the loyalty card. 3. Describe a setup for a simulation that would be appropriate in this situation and how the p-value can be calculated using the simulation results. Hint: Use the format of question 12 as a guide. To setup a simulation for this situation, we let each customer be represented with a card. We take 100 cards, customers who use a loyalty card and and black cards represent red cards represent customers who do not use the card. Shuffle the cards and draw 2 ? replacement and call it m. Repeat 10,000 times and plot the resulting sample proportions. The p-value will be the proportion of simulations cards representing the random sample of customers. Calculate the proportion of cards in the where PsimSExplanation / Answer
Solution1:
H0:p<=0.48
H1:p>0.48
Ho: has not increased
H1:has increased
Right tail test
Solutin2:
p^=x/n=88/150=0.587
p^=0.587
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