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Problem 1 On the first day of school 1,500 high school students in Chicago were tested and 48 found infected with COVID-19. At the same day in NYC 1,000 high school students were tested and 22 found infected. Show following steps of Hypothesis Testing for Population Proportion: State Ho and HA in terms of population proportions p1 and pz. . Calculate sample proportions p1=x1/N1 , p2 = x2/N2 and q1=1 - p1, q2=1 -p2 . Calculate Pooled Sample Proportion p = _fx2 and q = 1 - p . Calculate z-value for Test Statistic: Z= N1+N2 . Use online Applet https://www.emathhelp.net/calculators/probability-statistics/p-value-calculator/?dist=n&s=-.927&tail=right and find P-value (this is Right-Tailed test) . Compare P-value to significant level a = 0.01 and make conclusion if the given sample data provide enough evidence to show that the proportion of high school students infected by COVID-19 in Chicago is significantly greater than the proportion in NYC. Problem 2 Table below shows prices for specific fish product manufactured by two different companies. Null Hypothesis Ho: there is no significant difference between prices of both wholesalers. Alternative Hypothesis HA: prices of Company-1 are higher than Company-2. Test Hypothesis at the 5% level. Steps to follow. . In the given table add the d-column (d = x1 - X2) and calculate difference for each fish. Find mean and sample standard deviation for numbers in the d-column. . Calculate t-value for test statistics using d-values, for Ma use 0, because Null Hypothesis assumes that there is no difference between average prices from two companies. Use online applet https://www.socscistatistics.com/pvalues/tdistribution. aspx to convert t-value to p-value. . Compare p-value to a = 0.05 and make the conclusion: does given data support or do not support Ho. Wholesale Prices of Fish in Dollars Company-1 Company-2 Difference Fish Prices (X1) Prices (X2) Co 19.99 17.99 Tilapia 5.00 13.99 Salmon 19.9 22.99 Grouper 29.99 19.99 Tuna 28.99 31.99 Swordfish 23.99 23.99 Sea Bass 32.99 23.99