A Professor of Statistics Refutes the Claim That the Proportion $H _ { 0 } : p = 0.45 , H _ { a } : p \neq 0.45$

question 57

True/False

A professor of statistics refutes the claim that the proportion of Republican voters in Michigan is at most 45%.To test the claim,the hypotheses: $H _ { 0 } : p = 0.45 , H _ { a } : p \neq 0.45$
,should be used.

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Definitions:

Significant Change

A notable or considerable difference in data or results that exceeds the expectations of random variation.

P-Value

A probability that provides a measure of the evidence against the null hypothesis given by the sample. Smaller p-values indicate more evidence against H0. For a lower tail test, the p-value is the probability of obtaining a value for the test statistic as small as or smaller than that provided by the sample. For an upper tail test, the p-value is the probability of obtaining a value for the test statistic as large as or larger than that provided by the sample. For a two-tailed test, the p-value is the probability of obtaining a value for the test statistic at least as unlikely as or more unlikely than that provided by the sample.

Degrees of Freedom

The number of independent values or quantities that can be assigned to a statistical distribution or to a statistical calculation.

Data Table

A structured arrangement of data organized in rows and columns, which can be used for analysis or presentation.