You are the owner of a local women’s clothing store. Blouses, hats, and purses are among some of the items you sell. There are two sort of blouses of a certain brand, regular cut style and skinny cut style. To be able to supply demand you are trying to determine, if the proportion of skinny styles sold in your store this year has gone down from 25% of all blouses last year. A random sample of 200 blouse sales this year are taken from the records and 39 sales are found to be for skinny style blouses:
a) State the null and alternative hypothesis.
b) Find the value of the test statistic.
c) Calculate the p-value.
d) Should H₀ be rejected at α = 0.025?
e) Write the statistical conclusion.
f) Check the necessary conditions to see if the normal approximation used is adequate.