Question Details BBUndersta 0.2.007 My Notes Ask Your Teach The types of raw mat

Question

Question Details BBUndersta 0.2.007 My Notes Ask Your Teach The types of raw materials used to construct stone tools found at an archaeological site are shown below. A random sample of 1486 stone tools were obtained from a current excavation site. Regional Observed Number of Raw Material Percent of Tools as Current Stone Tools excavation site Basalt 61.3% 905 Obsidian 0.6% 157 Welded Tuff 11.4% Pedemal chert 13.1% 188 Other 3.6% 59 Use a 1% level of significance to test the claim that the regional distribution of raw materials fits the distribution at the current excavation site. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: The distributions are the same H1: The distributions are the same. O Ho: The distributions are different. H1: The distributions are the same. O Ho: The distributions are different. H1: The distributions are different. Ho: The distributions are the same. H1: The distributions are different. 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? Yes No What sampling distribution will you use? chi-square

Explanation / Answer

The statistical software output for this problem is:

Chi-Square goodness-of-fit results:
Observed: Observed
Expected: Expected

Hence,

a) Level of significance = 0.01

Null and alternative hypothesis: Option D

b) Chi - square statistic = 1.175

Yes, all the expected frequencies are greater than 5.

We use chi - square sampling distribution.

Degrees of freedom = 4

c) p - value = 0.882

d) Option A

e) Option B

N DF Chi-Square P-value 1486 4 1.1752906 0.8821

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