This question refers to excavations at a national monument. One question the archaeologists asked was: Is raw material used by prehistoric Indians for stone tool manufacture independent of the archaeological excavation site? Two different excavation sites gave the information in the following table. Use a chi-square test with 5% level of significance to test the claim that raw material used for construction of stone tools and excavation site are independent.

Excavation Site

Material | Site A | Site B | Row Total

Basalt | 732 | 583 | 1315

Obsidian | 106 | 89 | 195

Pedernal chert | 487 | 548 | 1035

Other | 75 | 104 | 179

Column Total | 1400 | 1324 | 2724

(a) What is the level of significance?

(b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.)

What are the degrees of freedom?

(c) Find or estimate theP-value of the sample test statistic. (Round your answer to three decimal places.)

p-value > 0.100

0.050 <p-value < 0.100

0.025 <p-value < 0.050

0.010 <p-value < 0.025

0.005 <p-value < 0.010

p-value < 0.005

(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis of independence?

Since theP-value >, we fail to reject the null hypothesis.

Since theP-value >, we reject the null hypothesis.

Since theP-value, we reject the null hypothesis.

Since theP-value, we fail to reject the null hypothesis.

(e) Interpret your conclusion in the context of the application.

At the 5% level of significance, there is sufficient evidence to conclude that stone tool construction material and site are not independent.

At the 5% level of significance, there is insufficient evidence to conclude that stone tool construction material and site are not independent.