You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4 categories occur with the following frequencies: Ho: PA= 0.4; PB = 0.3; pc = 0.15; pp = 0.15 Complete the table. Report all answers accurate to three decimal places. Category Observed Expected Frequency Frequency WIN A B n D 40 28 23 7 What is the chi-square test-statistic for this data? x² = What is the P-Value? P-Value = For significance level alpha 0.01, What would be the conclusion of this hypothesis test? O Fail to reject the Null Hypothesis O Reject the Null Hypothesis Report all answers accurate to three decimal places.

You are playing a dice game with a friend and become suspicious that he is using weighted dice. So you stop the game, take one of his dice, and roll it 100 times. The results are in the table below. Do these results provide significant evidence that the proportion of times the dice lands on the six numbers are unequal? Calculate the chi-squared test statistic and the range the p-value falls in for this test. Number on die 1 2 4 Frequency 16 21 6 26 13 18 test statistic = 14.12, p-value in (.01, .025) test statistic = 24.368, p-value in (.005, .01) test statistic = 14.12, p-value in (.025, 05) test statistic = 24.368, p-value less than .005 O none of these

Also this after the 2nd picture.      (c) By hand, make a histogram and using this histogram select the correct description of the age at which women have their first child.   The distribution is:   (d) In which age classes do the median and quartiles fall in the ordered list of all maternal ages?   Median falls within:   Q1 falls within:   Q3 falls within:

Just answer: According to the P value, what is the mean difference statistically significant? Based on the results, can you reject the null hypothesis? Is the entire staff operating at a good level?