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The following null and alternative hypotheses for the population proportion needs to be tested:
This corresponds to a right-tailed test, for which a z-test for one population proportion will be used.
Based on the information provided, the significance level is and the critical value for a right-tailed test is
The rejection region for this right-tailed test is
The z-statistic is computed as follows:
Using the P-value approach: The p-value is and since it is concluded that the null hypothesis is rejected.
Therefore, there is enough evidence to claim that the population proportion is greater than at the significance level.