Independent random samples, each containing 500 observations were selected from two binomial populations. The samples from populations 1 and 2 produced 210 and 320 successes, respectively. Test $H _ { 0 } : \left( p _ { 1 } - p _ { 2 } \right) = 0$ against $H _ { \mathrm { a } } : \left( p _ { 1 } - p _ { 2 } \right)

Question

Independent random samples, each containing 500 observations were selected from two binomial populations. The samples from populations 1 and 2 produced 210 and 320 successes, respectively. Test $H _ { 0 } : \left( p _ { 1 } - p _ { 2 } \right) = 0$ against $H _ { \mathrm { a } } : \left( p _ { 1 } - p _ { 2 } \right) < 0$. Use $\alpha = .05$.

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The Answer of Independent random samples, each containing 500 observations were selected from two binomial populations. The samples from populations 1 and 2 produced 210 and 320 successes, respectively. Test $H _ { 0 } : \left( p _ { 1 } - p _ { 2 } \right) = 0$ against $H _ { \mathrm { a } } : \left( p _ { 1 } - p _ { 2 } \right) < 0$. Use $\alpha = .05$.

Independent Random Samples, Each Containing 500 Observations Were Selected from Two