Prompt A department store is running a promotion where it gives every customer a special scratch-off ticket. The manager of the store claims that 25% of the tickets offer a $10 voucher. However, a customer questions this claim as out of 70 customers who have received a scratch-off ticket, only 15 have received the $10 voucher. Assume it reasonable to assume that the 70 tickets are a random sample of all the tickets the department store gives out. At the significance level a = 0.05, does the sample support the customer's belief that the proportion of tickets with a $10 voucher is less than 25%?** a. State a correct pair of hypotheses. b. Identify a correct test (by name or by formula) and check appropriate conditions. c. Calculate the appropriate test statistic and p-value. d. State a correct conclusion in the context of the study, using the result of the statistical test.

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Author:Amos Gilat
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Chapter1: Starting With Matlab
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A department store is running a promotion where it gives every customer a special scratch-off ticket. The manager of the store
claims that 25% of the tickets offer a $10 voucher. However, a customer questions this claim as out of 70 customers who have
received a scratch-off ticket, only 15 have received the $10 voucher.
Assume it reasonable to assume that the 70 tickets are a random sample of all the tickets the department store gives out. At the
significance level a = 0.05, does the sample support the customer's belief that the proportion of tickets with a $10 voucher is
less than 25%?**
a. State a correct pair of hypotheses.
b. Identify a correct test (by name or by formula) and check appropriate conditions.
c. Calculate the appropriate test statistic and p-value.
d. State a correct conclusion in the context of the study, using the result of the statistical test.
Transcribed Image Text:Prompt A department store is running a promotion where it gives every customer a special scratch-off ticket. The manager of the store claims that 25% of the tickets offer a $10 voucher. However, a customer questions this claim as out of 70 customers who have received a scratch-off ticket, only 15 have received the $10 voucher. Assume it reasonable to assume that the 70 tickets are a random sample of all the tickets the department store gives out. At the significance level a = 0.05, does the sample support the customer's belief that the proportion of tickets with a $10 voucher is less than 25%?** a. State a correct pair of hypotheses. b. Identify a correct test (by name or by formula) and check appropriate conditions. c. Calculate the appropriate test statistic and p-value. d. State a correct conclusion in the context of the study, using the result of the statistical test.
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