The following table shows site type and type of pottery for a random sample of 628 sherds at an archaeological location. Pottery Type MCElmo Mesa Verde Black-on-White Mancos Site Type Row Total...

The following table shows site type and type of pottery for a random sample of 628 sherds at an archaeological location.

Extracted text: The following table shows site type and type of pottery for a random sample of 628 sherds at an archaeological location. Pottery Type MCElmo Mesa Verde Black-on-White Mancos Site Type Row Total Black-on-White Black-on-White Mesa Top Cliff-Talus 80 55 54 189 85 68 60 213 Canyon Bench Column Total 88 73 65 226 253 196 179 628 Use a chi-square test to determine if site type and pottery type are independent at the 0.01 level of significance. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: Site type and pottery are not independent. H,: Site type and pottery are not independent. O Ho: Site type and pottery are not independent. H1: Site type and pottery are independent. O Ho: Site type and pottery are independent. H: Site type and pottery are not independent. O Ho: Site type and pottery are independent. H1: Site type and pottery are independent. (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.) Are all the expected frequencies greater than 5? O Yes O No What sampling distribution will you use? O normal O binomial O chi-square O uniform O Student's t What are the degrees of freedom? (c) Find or estimate the P-value of the sample test statistic. (Round your answer to three decimal places.) O p-value > 0.100 O 0.050 < p-value="">< 0.100="" o="" 0.025="">< p-value="">< 0.050="" o="" 0.010="">< p-value="">< 0.025="" o="" 0.005="">< p-value="">< 0.010="" o="" 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?="" o="" since="" the="" p-value=""> a, we fail to reject the null hypothesis. O since the P-value > a, we reject the null hypothesis. O since the P-value sa, we reject the null hypothesis. O Since the P-value