Discuss the below:
The following hypotheses are given.
A sample of 120 observations revealed that p = .30. At the .05 significance level, can the null hypothesis be rejected?
a. State the decision rule.
b. Compute the value of the test statistic.
c. What is your decision regarding the null hypothesis?
A two tailed test;
H0: μ=200 H0: μ≤200
H1: μ≠200 H1: μ>200
| Hypothesis test for proportion vs hypothesized value |
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Observed |
Hypothesized |
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0.4 |
0.3 |
p (as decimal) |
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48/120 |
36/120 |
p (as fraction) |
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48. |
36. |
X |
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120 |
120 |
n |
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0.0418 |
std. error |
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2.39 |
z |
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|
.0168 |
p-value (two-tailed) |
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| Hypothesis test for proportion vs hypothesized value |
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|
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|
Observed |
Hypothesized |
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0.4 |
0.3 |
p (as decimal) |
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48/120 |
36/120 |
p (as fraction) |
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|
48. |
36. |
X |
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|
|
120 |
120 |
n |
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|
0.0418 |
std. error |
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|
2.39 |
z |
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|
|
|
.0084 |
p-value (one-tailed) |
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