Question

2 The rejection region is of the critical value of x on the right on the left n region is of the critical value of. d. Find the value of the test statistic χ Round your answer to three decimal places. The value of the test statistic is e. Using α-: 0.025, would you reject the null hypothesis? Consider the following contingency table that records the results obtained for four samples of fixed sizes selected from four population:s Sample Selected From Population 1 Population 2 Population 3 Population 4 105 81 73 64 107 103 Row 1 37 Row 229 Row 3 |30 57 51 a. Write the null and alternative hypotheses for a test of homogeneity for this table Ho: The proportion in each row is the samefor all four populations Hi: The proportion in each row is not the samefor all four populations b. Calculate the expected frequencies for all cells assuming that the null hypothesis is true Round your answers to three decimal places, where required not the same for all four populations o. Calculate the expected frequencies for all cells assuming that the null hypothesis is true ound your answers to three decimal places, where required Total Population 4 Population 3 Population 2 Population 1 283 95.26 90.04 Row 1 33.37 Row 2 32.31 Row 3 30.30 64.31 274 92.23 87.18 62.27 257 86.5 81.77 58.4 814 274 259 Tota 96 185 . Fora0.025, find the critical value of 2. Specify the rejection and nonrejection regions on the chi-square distribution curve nter the exact answer from the chi-square distribution table The rejection region is of the critical value of

Answer 1

expected frequency table:

Ei=row total*column total/grand total	Population 1	Population 2	Population 3	Population 4	Total
Row 1	33.376	64.318	90.045	95.260	283
Row 2	32.314	62.273	87.182	92.231	274
Row 3	30.310	58.409	81.773	86.509	257
total	96	185	259	274	814

c)critical value of X² =14.449

the rejection region is on the right of the critical value of X²

the non rejection region is on the left of the critical value of X²

value of the test statistic X² =24.254

reject HO