Question 1105772: For each of the following problems, please provide the requested information.
. (a) What is the level of significance? State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test?
. (b) Identify the sampling distribution you will us: the standard normal or Student’s t. Explain the rationale for your choice. What is the value of the sample test statistic?
. (c) Find (or estimate) the P − value. Sketch the sampling distribution and show the area corre- sponding to the P − value.
(d) Find the critical value(s).
(e) Based on your answers for parts (a) to (d), will you reject or fail to reject the null hypothesis? Interpret your decision in the context of the appA Victoria Secret store in New York City claims that 25% of their customer are male. However, a observation of 189 people buying lingerie found that 124 were female. Does this indicate that the percentage of male shoppers is greater than 25%? Use α = 0.01.
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! 124/189 means 65/189 were men or 0.344
Can use a one-tailed since there is expectation proportion of men > 0.25
Use a one sample proportion (z-test), critical value z>2.328
test statistic is (xbar-x)/sqrt (p*(1-p))/n); p=0.25
This is 0.094/0.0315
z=2.98
p=0.001
Since p < 0.01, reject Ho and conclude the percentage of men is actually greater than 25%.
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