This data set contains last month's credit card purchases of 500 customers randomly selected from all customers of Bank, INC., a major credit card company. The marketing department of Bank, INC. is considering a special offer for Bank, INC. credit card holders who spent $1000 or more last month on their card.
From these data, construct a 95% confidence interval for the proportion of all Bank, INC. credit card holders who will qualify for the promotion. Please calculate the standard error of p-hat to 3 decimal places.
A. What is the lower bound?
B. What is the upper bound?
Historically, the percentage of URBroke customers who spent $1000 or more in any given month on their credit card has been 11%, and the marketing department wonders if the percentage has increased because of economic conditions. So the marketing department performs the hypothesis test:
H0: p = 0.11
HA: p > 0.11, where p is the proportion of URBroke customers who spend more than $1,000 on their credit card in a month.
Question 2. What is the value of the test statistic for this hypothesis test?
NOTE: Calculate the standard error of p-hat to 3 decimal places.
Question 3. What is the P-value for this hypothesis test?
Question 4. What is the correct conclusion for this hypothesis test?
-- Do not reject the null hypothesis and conclude that the proportion of URBroke customers who spend more than $1,000 per month on their credit card is not significantly different from the historical value of 0.11.
-- Reject the null hypothesis and conclude that the proportion of URBroke customers who spend more than $1,000 per month on their credit card has decreased from the historical value of 0.11.
-- Reject the null hypothesis and conclude that the proportion of URBroke customers who spend more than $1,000 per month on their credit card has increased from the historical value of 0.11.
-- Accept the null hypothesis that the proportion of URBroke customers who spend more than $1,000 per month on their credit card is 0.11 since the P-value is less than 0.05.
-- Do not reject the null hypothesis and conclude that the proportion of URBroke customers who spend more than $1,000 per month on their credit card has decreased from the historical value of 0.11.