Two separate marketing teams, Team A and Team B, have each designed a 30 second
ID: 3266955 • Letter: T
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 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 0.320 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 0.260 people said that they would (to 3 decimal places).
A hypothesis test is conducted with the following hypotheses:
The level of significance used in this test is 0.05. You may find this standard normal table useful.
a)Calculate the test statistic (z) for this test. Give your answer to 2 decimal places.
z =
b)In this test the null hypothesis isis not rejected.
[2 marks]- 2 of 2 ID: MST.FET.CP.ITPP.02.0010A
A computer training group would like to compare the effectiveness of two modes of training. The first mode of training is a short 20 minute interactive one-on-one lesson with the participant and the second mode is a one hour video that the participant watches.
A random sample of 125 people are invited to take part in the lesson, which is followed by a test to measure competency at the tasks covered. The proportion of people that pass this test (to 2 decimal places) is 0.40. Similarly, a random sample of 150 people are invited to watch the video, which is also followed by the same test. The proportion of people that pass this test (to 2 decimal places) is 0.64.
TTExplanation / Answer
here p1=0.320 p2=0.260
n1=150 n2=150
p^ = 48+39/150+150 =0.29
z = 0.320 - 0.260 / sqrt[ 0.29*0.71(1/150 +1/150)]
=1.145127143
b)The P-Value is 0.252209.
The result is not significant at p < 0.05.
failed to reject null hypothesis.
In this test the null hypothesis is not rejected
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