One survey showed that among 785 randomly selected sujects who completed 4 years

Question

One survey showed that among 785 randomly selected sujects who completed 4 years of college, 18.3% smoke tobacco. The smoking rate in the general public is 27%. Breona says that college educated people smoke less than the general public.

a) Name-describe the parameter about which the claim is being made. What is the statistic which is associated with it?

b) Write the nll and alternative hypotheses for testing this claim.

c) Find the test statistic for the sample described there.

d) what is the p-value associated with the test statistic.

Explanation / Answer

Answer to the questions below are:

a. The claim is being made on is the proportion of people who smoked tobacco. The statistic associated with this is called proportion

We are anyways going to use Z statistic to solve the problem

b. The null and alternate hypotheesis are:

Ho: p0 >= 0.27

Ha: p0 < 0.27

p' = .183

c. Z = (.183-.27)/(sqrt(.183*.717)/785)

Z= -6.73

d. The p-value associcated with this is 0.00

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