On the first day of school 1,500high school students in Chicago were testedand 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 H_A in terms of population proportions p₁ and p₂.

Calculate sample proportions p1=x1/N1 , p2 = x2/N2and q1=1 - p1,q2=1 - p2

Calculate Pooled Sample Proportion p = and q = 1 - p

Calculate z-value for Test Statistic:z =

Use online Applet

https://www.emathhelp.net/calculators/probability-statistics/p-value-calculator/?dist=n&s=-.927&tail=rightandfindP-value (this is Right-Tailed test)

Compare P-value to significant level = 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.