Question

A politician recently made the claim that 47% of taxpayers from a certain region do not pay any income taxes. Makayla is a journalist for an online media company and is testing the politician's claim for an op-ed. She randomly selects 159 taxpayers from the region to conduct a survey and finds that 73 of them do not pay any income taxes. What are the null and alternative hypotheses for this hypothesis test?

Select the correct answer:

A) {H0:p=0.47Ha:p>0.47

B) {H0:p=0.47Ha:p<0.47

C) {H0:p=0.47Ha:p≠0.47

D) {H0:p≠0.47Ha:p=0.47

Step 1

The aim is to identify the null and alternative hypotheses for testing the claim.

Step 2

In this context, a politician claimed that the proportion of taxpayers from a certain region who do not pay any income taxes is 47%.

Here, the sample size is, *n* = 159; the number of taxpayers who do not pay any income taxes in the sample is, *x* = 73.

Step 3

The test hypotheses are:

Null hypothesis:

*H*0: *p* = 0.47, that is, 47% in the sample of 159 taxpayers show the taxpayers who do not pay any income taxes.

Alternative hypothesis:

*H*a: *p...*

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