The following table shows site type and type of pottery for a random sample of 628 sherds at an archaeological location. The following table shows site type and type of pottery for a random sample of 628 sherds at an archaeological location.Pottery TypeMCElmoMesa VerdeBlack-on-WhiteMancosSite TypeRow TotalBlack-on-WhiteBlack-on-WhiteMesa TopCliff-Talus805554189856860213Canyon BenchColumn Total887365226253196179628Use 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 YesO NoWhat sampling distribution will you use?O normalO binomialO chi-squareO uniformO Student's tWhat 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 > 0.100O 0.050 < p-value < 0.100O 0.025 < p-value < 0.050O 0.010 < p-value < 0.025O 0.005 < p-value < 0.010O 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

Name: The following table shows site type and type of pottery for a random s
Uploaded: 2024-03-20T07:07:12.000Z
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Description: The following table shows site type and type of pottery for a random sample of 628 sherds at an archaeological location. The following table shows site type and type of pottery for a random sample of 628 sherds at an archaeological location.Pottery T