hi, i am having problems currently with these two problems, attached are pictures of the two problems i am having problems with, i dont know what kind of testing i am supposed to use. Also how do i find the p-values? My professor wants me to do these problems in a specific format attached is a rubric on how we should show our work.
here is the first problem
second
thanks in advance for the help
Problem 4, a
This problem is a hypothesis test for the mean of a large sample.
First we identify the null and alternative hypotheses and label the given information.
Null Hypothesis
Alternative Hypothesis (Claim)
We assume that the null hypothesis is true and choose to reject it if and fail to reject it otherwise.
To find the P-value, we first find the z-score of the test statistic and then get the area bounded to its right.
by the Central Limit Theorem
Because the alternative hypothesis contains the greater than inequality symbol, the hypothesis test is a right-tailed test and .
so we reject the null hypothesis. Therefore, the alternative hypothesis is true and ommitting the annual credit card fee for customers who charge at least $2,400 in a year WILL increase the amount charged on the bank's credit cards.
Problem 4, b
We know that the c-confidence interval for the population mean of increase is:
So substituting the given values gives us:
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Although it all seems to make sense, the z-score of 43 is ridiculous so I am not completely sure about the correct answer. This is the best I could do... hope it helps.