I need help with these problems, can you help explain these to me? And can you please show work so I can understand where I went wrong?

Score on last try: 4.33 of 13 pts. See Details for more. You can retry this question below A researcher conducted an Independence test by using data consisting of 2 categorical variables: Zip code and Diet. Her data can be organized into a 3 by 2 contingency table. If she found the test statistic x2 = 11.51: What is the degree of freedom of the X2 statistic? :] What is the P-value of the Independence test? (Round to 3 decimals) ' Given the significance level of 0.1 , what can she conclude from the test? 0 Zip code and diet are independent of one another. Zip code and diet are dependent on one another. Question Help: E Read Submit Question Migraine and Acupuncture: A migraine is a particularly painful type of headache, which patients sometimes wish to treat with acupuncture. To determine whether acupuncture relieves migraine pain, researchers conducted a randomized controlled study where 165 patients diagnosed with migraine headaches were randomly assigned to one of two groups: treatment or control. 61 patients in the treatment group received acupuncture that is specifically designed to treat migraines. 104 patients in the control group received placebo acupuncture (needle insertion at non-acupoint locations). 24 hours after patients received acupuncture, they were asked if they were pain free. Results are summarized in the contingency table below. Test to see if migraine pain relief is dependent on receiving acupuncture. Use o = 0.1. Pain Free: Yes Pain Free: No Total Treatment 14 47 61 Control 95 104 lota 23 142 165 a) What is the correct null hypothesis? O Ho: PI = P2 = Ps = P4 Ho: Migraine pain relief is independent on receiving acupuncture. O Ho: Migraine pain relief is dependent on receiving acupuncture. O Ho: pi # P2 # Ps # PA b) Fill in the expected values, round answers to at least 4 decimal places. Expected Values Pain Free: Yes Pain Free: No Treatment Control Answers show on Pain Free: Pain last attempt Yes Free: No Treatment Control c) Find the test statistic, round answer to at least 4 decimal places. d) What is the p-value? e) What is the correct conclusion? O There is no statistical evidence that migraine pain relief is dependent on receiving acupuncture. There is statistical evidence that migraine pain relief is dependent on receiving acupuncture. Submit QuestionYou are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4 categories occur with the following frequencies: Ho : PA = 0.15; pp = 0.15; pc = 0.3; pp = 0.4 Complete the table. Report all answers accurate to three decimal places. Category Observed Expected Frequency Frequency A 20 14 31 43 What is the chi-square test-statistic for this data? (2 decimal places) X = What is the P-Value? (3 decimal places) P-Value = For significance level alpha 0.01, What would be the conclusion of this hypothesis test? O Reject the Null Hypothesis O Fail to reject the Null Hypothesis Report all answers accurate to three decimal places. Question Help: Q)Video Submit QuestionYou are conducting a multinomial hypothesis test (@ = 0.05) for the claim that all 5 categories are equally likely to be selected. Complete the table. Category Observed Expected Frequency Frequency A 14 C 12 20 F Report all answers accurate to three decimal places. But retain unrounded numbers for future calculations. What is the chi-square test-statistic for this data? (Report answer accurate to three decimal places, and remember to use the unrounded Pearson residuals in your calculations.) What are the degrees of freedom for this test? d.f.= What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) or O greater than o This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null O accept the alternative As such. the final conclusion is that.. There is sufficient evidence to warrant rejection of the claim that all 5 categories are equally likely to be selected. O There is not sufficient evidence to warrant rejection of the claim that all 5 categories are equally likely to be selected. O The sample data support the claim that all 5 categories are equally likely to be selected. O There is not sufficient sample evidence to support the claim that all 5 categories are equally likely to be selected. Question Help: VideoQuestion 3 "You intend to conduct a goodness-of-fit test for a multinomial distribution with 3 categories. You collect data from 58 subjects. What are the degrees of freedom for the y distribution for this test? d. f. = Submit QuestionWeek 6-2 Homework core: 37.72/100 3/8 answered . Question 3