Nexium is a drug that can be used to reduce the acid produced by the body and heal damage to the esophagus due to acid reflux. The manufacturer of Nexium claims that more than 94% of patients taking Nexium are healed within 8 weeks. In clinical trials, 213 of 224 patients suffering from acid reflux disease were healed after 8 weeks.
Use Minitab Express to test the manufacturer’s claim at the α = 0.01 level of significance. Report your answers to three decimal places, where applicable.
With a P-value of , we (reject /
fail to reject) the null
hypothesis.
The given data (does / does
not) provide significant evidence that the proportion of
Nexium users who heal within 8 weeks is (more
than / less than / different
from / equal to) 0.94.
The statistical software output for this problem is:
One sample proportion summary hypothesis
test:
p : Proportion of successes
H0 : p = 0.94
HA : p > 0.94
Hypothesis test results:
Proportion | Count | Total | Sample Prop. | Std. Err. | Z-Stat | P-value |
---|---|---|---|---|---|---|
p | 213 | 224 | 0.95089286 | 0.015867757 | 0.68647743 | 0.2462 |
Hence,
The answers will be:
With a P-value of , we fail to reject the null hypothesis. The given data does not provide significant evidence that the proportion of Nexium users who heal within 8 weeks is more than 0.94.
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