Question

You wish to test the following claim (HaHa) at a significance level of α=0.01α=0.01.

      Ho:p1=p2Ho:p1=p2
      Ha:p1>p2Ha:p1>p2

You obtain 212 successes in a sample of size 450 from the first population. You obtain 74 successes in a sample of size 226 from the second population.

What is the test statistic for this sample? (Report answer accurate to three decimal places.)
Test statistic =

What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =

The p-value is...

• less than (or equal to) αα
• greater than αα

This test statistic leads to a decision to...

• reject the null
• accept the null
• fail to reject the null

As such, the final conclusion is that...

• There is sufficient evidence to warrant rejection of the claim that the first population proportion is greater than the second population proportion.
• There is not sufficient evidence to warrant rejection of the claim that the first population proportion is greater than the second population proportion.
• The sample data support the claim that the first population proportion is greater than the second population proportion.
• There is not sufficient sample evidence to support the claim that the first population proportion is greater than the second population proportion.

Answer 1

Solution & The null and alteonative hypothesis, Hoi P - P2 Null hypothesis Hai pala Altezuctive hypothesis Here, 450 212 p 0.4711 Az 226 74 €, - Y1 = 0.3274 * The value pooled proportion a X+X₂ 212+74 Utha ЦД + ni - 2 7 Xa 74 2 450 + 226 p = 0.4231 * The test statisticis, Z Papa Foclap) (llait luz) 0.4711 - 0.3274 10.423164-0.4231)64445074226) 3.567 > Sign in Ha Plualue - Right tailed test P(Z > 3.567) * 0.0002