Does the distribution of students in Wales across the years differ from the combined distribution across the other four

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Does The Distribution Of Students In Wales Across The Years Differ From The Combined Distribution Across The Other Four 1 (67.24 KiB) Viewed 27 times

(ii) Explain how the expected value for students in Wales in
2013 is calculated.
(iii) What is the value of the test statistic?
(iv) Explain why the output says the number of degrees of
freedom is 6.
(v) The p-value is 0.001. What does that tell you in terms of
the null hypothesis?
(vi) What is your conclusion from the test?
Does the distribution of students in Wales across the years differ from the combined distribution across the other four areas across the years? The module team decides to use the xạ test for contingency tables with the data in Table 1 and produces the Minitab output in Figure 1. Rows: Area Columns: year 2013 2014 2015 2016 2017 2018 2019 All Wales 83 378 54 58.66 55 51 56.93 54.53 31 42 62 46.02 52.80 50.28 58.79 Other areas 387 373 359 315 355 316 359 2464 382.34 371.07 355.47 299.98 344.20 327.72 383.21 All 441 428 410 346 397 378 442 2842 Cell Contents Count Expected count Chi-Square Test Chi-Square DF P-value Pearson 23.623 6 0.001 Likelihood Ratio 23.140 6 0.001 Figure 1 Minitab output for a x? test for contingency tables