You are conducting a multinomial hypothesis test for the claim that the 4 categories occur with the following frequencies:Ho pA=0.3;  pB=0.1;  pC=0.4;  pD=0.2 Complete the table. Category Observed Frequency Expected Frequency Squared Residual A 24     B 21     C 43     D 21     What is the chi-square test-statistic for this data?

Consider a two-tailed test with a level of confidence of 84.90%. The z-value is _______. 2.88 1.44 1 2.11

You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4 categories occur with the following frequencies: H.: PA = 0.4; PB 0.1; Pc = 0.3; PD %3D0.2 Complete the table. Report all answers accurate to three decimal places. Observed Expected Frequency Frequency Category A 50 24 28 34 What is the chi-square test-statistic for this data? (2 decimal places) x = %3| What is the P-Value? (3 decimal places) P-Value = For significance level alpha 0.1, What would be the conclusion of this hypothesis test? O Fail to reject the Null Hypothesis O Reject the Null Hypothesis

You wish to test the following claim (Hå) at a significance level of a Ho: P₁ = P2 Ha: P₁ P2 0.005. You obtain 10.2% successes in a sample of size ni 518 from the first population. You obtain 15.2% successes in a sample of size n₂ 269 from the second population. Round values for X to the nearest whole number. What is the test statistic for this sample? (Round to three decimal places.) test statistic = What is the p-value for this sample? (Round to four decimal places.) p-value =

You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4 categories occur with the following frequencies:HoHo : pA=0.4  pB=0.3 ;  pC=0.15 ;  pD=0.15Complete the table. Report all answers accurate to three decimal places. Category ObservedFrequency ExpectedFrequency Residual A 44     B 34     C 32     D 19     What is the chi-square test-statistic for this data?χ2=For significance level alpha 0.1, what is the chi-square Critical Value?Critical Value = What would be the conclusion of this hypothesis test? Reject the Null Hypothesis Fail to reject the Null Hypothesis Report all answers accurate to three decimal places

Clinical tests of the allergy drug Seldane yielded the results summarized in the table below. At the 5%5% significance level, test to determine if there is a relationship between the use of the drug and the occurrence of headaches.        Seldane Users Placebo Users Control Total Headache 42 56 60 158 No headache 760 682 635 2077 Total 802 738 695 2235   Perform a Chi-squared test in the following steps: Step 1: State the null and alternative hypotheses:  H0:H0:There is       between the use of the drug Seldane and the occurrence of headaches.  H1:H1: There is       between the use of the drug Seldane and the occurrence of headaches. Step 2: Find the critical value(s): State αα-value (in decimals) with the degree(s) of freedom, separated by a comma.  State the critical value(s): CV= (Do not round the table value.) Step 3. State the rejection region: Which area(s) is/are rejection region(s)?       Reject H0H0 if test statistic value         the critical value(s).…

You are conducting a test of independence for the claim that there is a relationship between favorite ice cream flavor and gender. Use a significance level of .01. Vanilla Chocolate Strawberry Male | 32 67 37 Female 24 40 25 The expected observations for this table would be (Round to 3 decimal places.) Vanilla Chocolate Strawberry Male Female At the .01 significance level, what is the critical chi-square for this data? (Round to 3 decimal places.) с What is the chi-square test-statistic for this data? (Round to 3 decimal places.) What can you conclude about Gender and Favorite Ice Cream Flavor? Gender and Ice Cream Flavor are Dependent O Gender and Ice Cream Flavor are Independent

Question 4 く Test the claim that the mean GPA of night students is larger than the mean GPA of day students at the .01 significance level. The null and alternative hypothesis would be: Ho:PN = PD Ho:HN H1:PN > PD H1:µN > HD H1:PN < PD H1:PN # PD H1:µN < HD H1:µN # µD HD Ho:PN = PD Ho:PN = pD Ho:HN = HD Ho:UN = D The test is: two-tailed left-tailed right-tailed The sample consisted of 70 night students, with a sample mean GPA of 2.22 and a standard deviation of 0.03, and 50 day students, with a sample mean GPA of 2.21 and a standard deviation of 0.02. The test statistic is: (to 2 decimals) The critical value is: (to 2 decimals) Based on this we: O Reject the null hypothesis O Fail to reject the nul hypothesis

You are conducting a multinomial hypothesis test (a = 0.05) for the claim that all 5 categories are equally likely to be selected. Complete the table. Note: Expected frequency is En.p. Observed Expected Frequency Frequency Category A 8 D B 22 C 15 D 14 E 7 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.) x² 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 = Is the p-value less than a? Oyes O no 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…

A survey by the National Institutes of Health asked a random sample of young adults (aged 19 to 25 years), "Where do you live now? That is, where do you stay most often?" Given is Minitab output from a chi-square test. (omitting a few who refused to answer and one who reported being homeless). Chi-Squared Test: Female, Male Expected counts are printed below observed Which cell contributes most to the chi-square test counts Chi-Square contributions are printed below statistic? In what way does this cell differ from what we expected counts would expect if there is no association between gender and "where do you live now?" O The largest component comes from females who currently live in their parents' homes. This cell had the largest expected count. O The largest component comes from males who currently live in their parents' homes. There were more males living in their parents' homes than would have been expected. O The smallest component comes from males who currently live in "group"…