Using the data below and the 5 steps of null hypothesis testing for a chi-square goodness...

Using the data below and the 5 steps of null hypothesis testing for a chi-square goodness of fit test examine if the frequency of confirmed COVID-19 cases are equally proportionate between the states of Wyoming, North Dakota, Nebraska, and South Dakota (p < .05).

**Data retrieved from Center for Disease Control (April 22, 2020)**

	Observed Frequencies
Wyoming	430
N. Dakota	627
Nebraska	1648
S. Dakota	1675

Solutions

Expert Solution

Null hypothesis : The 4 states have equal proportion of cases

Alternate hypothesis: At least one state have different proportion

alpha = 0.05

Event	Observed Frequency(O)	Expected Probability	Expected Frequency ( E)	( O-E)^2	( O-E)^2/E
Wyoming	430	0.25	1095	442225	403.8584475
N. Dakota	627	0.25	1095	219024	200.0219178
Nebraska	1648	0.25	1095	305809	279.2776256
S. Dakota	1675	0.25	1095	336400	307.2146119
Total	4380	1	4380	1303458	1190.372603

The chi square statistic = 1190.372

The corresponding p value is 0.00000

Since p < alpha ( 0.05 )

We reject the null hypothesis

or, At least one state have different proportion

orchestra answered 1 year ago

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