Question

In: Statistics and Probability

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

  1. 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 2 years ago
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