(a) The hypothesis being tested is:
H0: µ1 = µ2
H1: µ1 ≠ µ2
null hypothesis
Ho= awareness BEFORE the advertising was the same in the FWTC and FWC groups
H1 = awareness BEFORE the advertising was not same in the FWTC and FWC groups
(b) The output is:
p1 |
p2 |
pc |
|
0.24 |
0.36 |
0.3 |
p (as decimal) |
12/50 |
18/50 |
30/100 |
p (as fraction) |
12. |
18. |
30. |
X |
50 |
50 |
100 |
n |
-0.12 |
difference |
||
0. |
hypothesized difference |
||
0.0917 |
std. error |
||
-1.31 |
z |
||
.1904 |
p-value (two-tailed) |
Since the p-value (=0.1904) is greater than the significance level (0.05), we cannot reject the null hypothesis.
Therefore, we can support our claim.
awareness BEFORE the advertising was the same in the FWTC and FWC groups
(c) We need to get the population proportion for both the groups.
(d) The first hypothesis test for FWTC is:
H0: µ1 = µ2
H1: µ1 ≠ µ2
The output is:
p1 |
p2 |
pc |
|
0.24 |
0.28 |
0.26 |
p (as decimal) |
12/50 |
14/50 |
26/100 |
p (as fraction) |
12. |
14. |
26. |
X |
50 |
50 |
100 |
n |
-0.04 |
difference |
||
0. |
hypothesized difference |
||
0.0877 |
std. error |
||
-0.46 |
z |
||
.6484 |
p-value (two-tailed) |
Since the p-value (0.6484) is greater than the significance level (0.05), we cannot reject the null hypothesis.
Therefore, we can support our claim.
awareness BEFORE the advertising was the same in the FWTC and FWC groups
The second hypothesis test for FWC is:
H0: µ1 = µ2
H1: µ1 ≠ µ2
The output is:
p1 |
p2 |
pc |
|
0.36 |
0.56 |
0.46 |
p (as decimal) |
18/50 |
28/50 |
46/100 |
p (as fraction) |
18. |
28. |
46. |
X |
50 |
50 |
100 |
n |
-0.2 |
difference |
||
0. |
hypothesized difference |
||
0.0997 |
std. error |
||
-2.01 |
z |
||
.0448 |
p-value (two-tailed) |
Since the p-value (0.0448) is less than the significance level (0.05), we can reject the null hypothesis.
Therefore, we cannot support our claim.
(e) The advertising will change the perspective of people according to the hypothesis testing results.
(f) No, because the results show that both the companies have same impact of advertising.
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3. One of the most controversial issues in the field of Marketing is the long-run impact...
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Ignore the handwritten answers, but in reality I would like to
know if this is a one tailed or two tailed probability and
why
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between their ideal and actual heights was 0.8" to 2.2". Based on
this interval, which one of the null hypotheses below (versus a
two-sided alternative)can be rejected?
A. H0: μd= 0.5
B. H0: μd= 1.0
C. H0: μd= 1.5
D. H0: μd= 2.0
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– weekend selldown audits and store
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