You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4 categories occur with the following frequencies:HoHo : pA=0.3pA=0.3;  pB=0.1pB=0.1;  pC=0.4pC=0.4;  pD=0.2pD=0.2 Complete the table. Report all answers accurate to three decimal places. Category Observed Frequency Expected Frequency Residual A 32     B 38     C 58     D 36     What is the chi-square test-statistic for this data? χ2=χ2=  For significance level alpha 0.01, 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.

CHALLENGE 7.2.1: Confidence intervals for population proportions. ACTIVITY Critical values for quick reference during this activity. Confidence level Critical value 0.90 z* = 1.645 0.95 z* = 1.960 0.99 2 = 2.576 3876741891676.qv3ny Start In a poll of 1000 randomly selected voters in a local election, 393 voters were against school bond measures. What is the sample proportionp? Ex 0.123 What is the margin of error m for the 90% confidence level? Ex: 0.123 Check 73°F A search F7 F9 F10 FIL F12 5 8. T Y H K D D D D

Do question 7,8 and 9 only  The new study also carried out a test to determine whether the population proportion of unvaccinated school children contracting winter flu was higher than the population proportion of vaccinated school children. The Z test statistic to test this belief is found to be 1.874. The corresponding p-value is 0.0305 0.1212 0.3036 0.7724 Question 7 Suppose that the new study uses a level of significance of 0.05 to test the claim in Question 6. The probability of Type I error is 0.025 0.05 0.95 0.975 Question 8 Based on previous studies of school children who were vaccinated and contracted the flu, the time in hours that the flu symptoms last is assumed to follow a normal distribution with a mean of 20.7 hours and a standard deviation of 7.3 hours. The probability that a randomly selected school child has flu symptoms for more than 24 hours is 0.1628 0.3256 0.6744 0.8372 Question 9 Suppose that a random sample of 5 vaccinated school children is taken. Assuming the…

Answer A B C