A transect is an archaeological study area that is 1/5 mile wide and 1 mile long. A site in a transect is the location of a significant archaeological find. Let x represent the number of sites per transect. In a section of Chaco Canyon, a large number of transects showed that xhas a population variance ²2 = 42.3. In a different section of Chaco Canyon, a random sample of 25 transects gave a sample variance s² = 44.7 for the number of sites per transect. Use a 5% level of significance to test the claim that the variance in the new section isgreater than 42.3.(a) What is the level of significance?State the null and alternate hypotheses.42.3; H₁:0² > 42.3O Ho: 0²Ho: o² = 42.3; H₁:0² < 42.3O Ho: o² > 42.3; H₁: 0² = 42.30²42.3; H₁: 0² # 42.3O Ho:==(b) Find the value of the chi-square statistic for the sample. (Round your answer to two decimal places.)What are the degrees of freedom?What assumptions are you making about the original distribution?O We assume a exponential population distribution.We assume a normal population distribution.We assume a uniform population distribution.O We assume a binomial population distribution.(c) Find or estimate the P-value of the sample test statistic.O P-value > 0.100O 0.050 < P-value < 0.1000.025 < 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?O Since the P-value > a, we fail to reject the null hypothesis.O Since the P-value > a, we reject null hypothesis.O Since the P-value ≤ a, we reject the null hypothesis.O Since the P-value ≤ a, we fail to reject the null hypothesis.(e) Interpret your conclusion in the context of the application.O At the 5% level of significance, there is insufficient evidence to conclude that the variance is greater in the new section.O At the 5% level of significance, there is sufficient evidence to conclude that the variance is greater in the new section.

As per the Bartleby guildlines we have to solve first three subparts and rest can be reposted....…

A transect is an archaeological study area that is 1/5 mile wide and 1 mile long. A site in a transect is the location of a significant archaeological find. Let x represent the number of sites per transect. In a section of Chaco Canyon, a large number of transects showe has a population variance a2 42.3. In a different section of Chaco Canyon, a random sample of 25 transects gave a sample variance s2 44.7 for the number of sites per transect. Use a 5% level of significance to test the claim that the variance in the new sectio greater than 42.3. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: 0²42.3; H₁: ² > 42.3 O Ho: 02 42.3; H₁: ² < 42.3 O Ho: ²42.3; H₁: ² = 42.3 OH: ²42.3; H₁: 02 42.3 (b) Find the value of the chi-square statistic for the sample. (Round your answer to two decimal places.) What are the degrees of freedom? What assumptions are you making about the original distribution? O We assume a exponential population distribution. O We assume a normal population distribution. O We assume a uniform population distribution. O We assume a binomial population distribution. (c) Find or estimate the P-value of the sample test statistic. OP-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? 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 s a, we fail to reject the null hypothesis. (e) Interpret your conclusion in the context of the application. O At the 5% level of significance, there is insufficient evidence to conclude that the variance is greater in the new section. O At the 5% level of significance, there is sufficient evidence. conclude that the variance is greater in the new section.