For x1=34,n1=50,x2=52,&n2=75x_1=34,n_1=50,x_2=52,\&n_2=75, test the claim that p1<p2p_1<p_2 for α=0.01\alpha=0.01 using...(A) A Hypothesis Test.

Fail to reject H 0 H_0 H 0 , there is not enough evidence to suggest p 1 < p 2 p_1<p_2 p 1 < p 2 .

For x 1 = 34 , n 1 = 50 , x 2 = 52 , & n 2 = 75 x_1=34,n_1=50,x_2=52,\&n_2=75 , test the claim that p 1 < p 2 p_1<p_2 for α = 0.01 \alpha=0.01 using... (A) A Hypothesis Test.

Welcome back. For this problem, we have values for x one, n one, x two, and n two, and we'd like to test the claim that p one is less than p two for alpha equals 0.01 using a hypothesis test. So let's start by writing our hypothesis. The null hypothesis is going to be that the two population proportions are equal to each other, or that p one is equal to p two. And the alternative hypothesis is the claim we're trying to test, which in this case is that p one is less than p two. Now we're ready to run our hypothesis test. Let's pull out our t I 80 fours and start by clicking on the stat button, scrolling to the right to the test menu, and then choosing option six by either scrolling down to it or clicking six. That's step one. All set. For step two, we just wanna enter in the information we've been given from the problem. So x one is 34, n one is 50, x two is 52, and n two is 75. Once that's all set, we wanna make sure that the correct alternative hypothesis has been chosen. In this case, we want that p one is less than p two, so let's scroll over to less than p two and click enter. Once that's all set, we can scroll down to calculate and click enter, and we'll have the results appear in the viewing window. Now we can see that our p value is approximately 0.44, and we wanna compare that to the alpha value of point zero one. Obviously, the p value is larger than alpha, which means that we fail to reject the null hypothesis, meaning that there is not enough evidence to suggest that the alternative hypothesis is true, or that p one is less than p two. Great work.

For x 1 = 34 , n 1 = 50 , x 2 = 52 , & n 2 = 75 x_1=34,n_1=50,x_2=52,\&n_2=75 , test the claim that p 1 < p 2 p_1<p_2 for α = 0.01 \alpha=0.01 using... (A) A Hypothesis Test.

Fail to reject H 0 H_0 H 0 , there is not enough evidence to suggest p 1 < p 2 p_1<p_2 p 1 < p 2 .

10. Hypothesis Testing for Two Samples

Two Proportions

Statistics for Business

10. Hypothesis Testing for Two Samples

Two Proportions

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Multiple Choice

For $x_{1} = 34, n_{1} = 50, x_{2} = 52, & n_{2} = 75$ , test the claim that $p sub 1 is less than p sub 2$ for $alpha equals 0.01$ using...
(A) A Hypothesis Test.

Reject $H_0$ , there is enough evidence to support the claim $p_1<p_2$ .

Fail to reject $H_0$ , there is not enough evidence to suggest $p_1<p_2$ .

Reject $H_0$ , there is not enough evidence to support the claim $p_1<p_2$ .

Fail to reject $H_0$ , there is enough evidence to support the claim that $p_1<p_2$ .

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