While waiting for all the votes to finally be counted in the 2020 presidential rare Leslie hypothesized that there would be 30% mail in votes, 45% early in person votes, and 25% in person election day votes in the state of Illinois. She used Champaign County's vote totals as her sample which had 27,529 mail in ballots, 41,830 early in person votes, and 26,156 election day votes. Can Leslie conclude at the 0.05 level of significance that the proportion voting in each category is what she hypothesized?

this is the List of tests we used in class:

Means Testing one population mean: ZTest, TTest (not on exam 4)

Testing two population means: Independent 2-SampleZTest, 2-SampleTTest pooled, nonpooled Dependent Paired TTest, Wilcoxon Signed Rank Test

Testing more than two population means: ANOVA Standard Deviations

Testing two standard deviations: 2-SampleFTest Proportions

Testing one population proportion: (one sample and two categories) 1-PropZTest (not on exam 4)

Testing two population proportions: (two samples and two categories each) 2-PropZTest

Testing population proportions when there are more than 2 categories (one sam? Goodness of Fit Test Dependency between 2 variables: Qualitative (or quantitative variables)

Please tell me which test to use and show the five steps (including the P-value) using a TI 83/84 Calculator.