Step 1 :The null and alternative hypotheses for the hypothesis test are \[\begin{array}{l} H_{0}: p_{1}=p_{2} \\ H_{1}: p_{1} Step 2 :The test statistic is calculated using the formula for the test statistic in a hypothesis test for two proportions. The test statistic follows a standard normal distribution under the null hypothesis. The calculated test statistic is \(\boxed{-1.27}\) Step 3 :The P-value is the probability of observing a test statistic as extreme as, or more extreme than, the observed test statistic, under the null hypothesis. We can calculate the P-value using the cumulative distribution function of the standard normal distribution. The calculated P-value is \(\boxed{0.101}\)