Question

This problem has 6 parts. This is part 1 of 6.

Typically, North Carolina experiences a 42.3% voter turnout in midterm elections. In a random sample of 602 voters, 230 say they participated in the 2018 midterm election.

A reporter claims, "the voter turnout in 2018 was lower than the usual 42.3%." Select the pair of hypotheses that are appropriate for testing this claim.

		H0: p < 0.423 (claim) H1: p ≥ 0.423
		H0: p > 0.423 (claim) H1: p ≤ 0.423
		H0: p ≥ 0.423 (claim) H1: p < 0.423
		H0: p ≥ 0.423 H1: p < 0.423 (claim)
		H0: p ≤ 0.423 H1: p > 0.423 (claim)
		H0: p > 0.423 H1: p ≤ 0.423 (claim)
		H0: p ≤ 0.423 (claim) H1: p > 0.423
		H0: p < 0.423 H1: p ≥ 0.423 (claim)

Select the choice that best describes the nature and direction of a hypothesis test for this claim.

		This is a right-tail z-test for p.
		This is a left-tail z-test for p.
		This is a left-tail t-test for p.
		This is a right-tail t-test for p.
		This is a two-tail z-test for p.
		This is a two-tail t-test for p.

Select the correct standardized test statistic from the choices given below.

(Use cell references to avoid rounding error.)

		2.0673
		20.6257
		-0.0001
		-2.0673
		-20.6257
		2.0332
		-2.0332
		0.0001

Select the correct P-value from the choices given below.

(Use cell references to avoid rounding error.)

		0.0420
		0.4999
		0.0210
		0.0212
		0.0000
		0.0194
		0.0425
		0.0387

Using your previous calculations, select the correct decision for this hypothesis test.

		Accept the alternative hypothesis.
		Accept the null hypothesis.
		Reject the alternative hypothesis.
		Fail to reject the alternative hypothesis.
		Accept the claim.
		Reject the claim.
		Reject the null hypothesis.
		Fail to reject the null hypothesis.
		Fail to reject the claim.

Consider the following statements related to the reporter's claim. Based on the results of your hypothesis test, which of these statements is true? Select the best choice.

		The data is not consistent with the reporter's claim, and we can plausibly conclude that the proportion of voters who voted in the 2018 midterm election is not less than 42.3%. The reporter is likely to be incorrect.
		The data is consistent with the reporter's claim, but not enough to plausibly conclude that the proportion of voters who voted in the 2018 midterm election is less than 42.3%. We do not know if the reporter is correct.
		The data is not consistent with the reporter's claim, but not enough to plausibly conclude that the proportion of voters who voted in the 2018 midterm election is not less than 42.3%. We do not know if the reporter is incorrect.
		The data is consistent with the reporter's claim, enough to plausibly conclude that the proportion of voters who voted in the 2018 midterm election is less than 42.3%. The reporter is likely to be correct.

Answer 1

The statistical software output for this problem is :

H₀: p ≥ 0.423
H₁: p < 0.423 (claim)

This is a left-tail z-test for p.

Test statistics = -2.0332

P-value = 0.0210

Alpha is not given here .

P-value < alpha then

Reject the null hypothesis

Option is correct .