Question
Two separate marketing teams, Team A and Team B, have each designed a 30 second advertisement for the new Cloak soft drink. The manager of
Two separate marketing teams, Team A and Team B, have each designed a 30 second advertisement for the new Cloak soft drink. The manager of marketing is interested to see if there is any difference between the effectiveness of the two ads.
A random sample of 150 people are shown the ad from Team A and asked if they would definitely buy the new drink. In this sample, a proportion of 0.680 people said that they would (to 3 decimal places). A second random sample of 150 people are shown the ad from Team B and asked if they would definitely buy the drink. In this sample, a proportion of 0.280 people said that they would (to 3 decimal places).
Let1denote the population proportion of people that would definitely buy the drink if they saw the ad from Team A. Let2denote the population proportion of people that would definitely buy the drink if they saw the ad from Team B.
A hypothesis test is conducted with the following hypotheses:
H0:1=2
HA:12
The level of significance used in this test is 0.05. You may find thisstandard normal tableuseful.
a)Calculate the test statistic (z) for this test. Give your answer to 2 decimal places.
z =
b)In this test the null hypothesis
is
is not
rejected.
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