Problem

4 Chapter 15 chl-squar goodnese of fi (20 points) The following frequeney iable shaws the observod number of people whe teded positive for Covid 19 during the wek of Wrwenher 17ti  io November 19k2022, in sิan Diego county. 19 Daily Statur Uodate. pdf
Assume the weekly sample of 2912 of people infected with Covid 19 in the ecunty of than Diego to be representative of the 5 an Diego population.
Unknown environment 'tabular'
Carry out a chi-gquare goodness of fit to determine if there is convineing evidenee that the proportions of number of Covid-19 cases in San Dicgo county falling into each of the fwe categories are not all the same. Use significance level of a0.05
a. Define the proportions pil to p7
b. Hypotheses

Answer

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Answer

Step 6: Compare the chi-square statistic to the critical value and make a conclusion

Steps

Step 1 :Step 1: Define proportions p1 to p7: p1,p2,p3,p4,p5,p6,p7

Step 2 :Step 2: State hypotheses: H0:p1=p2=p3=p4=p5=p6=p7, H1: At least one proportion differs

Step 3 :Step 3: Calculate expected frequencies: Ei=n7: 29127416

Step 4 :Step 4: Compute the chi-square statistic: χ2=(OiEi)2Ei

Step 5 :Step 5: Find the critical value for α=0.05 and degrees of freedom: df = 6, critical value = 12.59

Step 6 :Step 6: Compare the chi-square statistic to the critical value and make a conclusion

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