Question

A BLS report indicates that 44% of American workers invest in IRAs. A current study finds 460 out of 1000 surveyed workers have invested in an IRA. The researcher is interested in evidence at the .05 level that the fraction of workers investing in IRAs has changed.

Which of the following pairs of hypotheses correctly expresses the question of interest?

H0: μ=.44, HA: μ≠.44 H0: p≤.44, HA: p>.44 H0: σ≤1000, HA: σ<1000 H0: p=.44, HA: p≠.44 H0: σ≤480, HA: σ>480

What is the value of the test statistic?

What is the p-value (any value in your range)?

Which of the following is(are) the correct (best) critical value(s)?

		-1.96, 1.96
		-2.33, 2.33
		2.05
		-1.28, 1.28
		1.65

1. Which of the following is the correct decision?

   		Don't Reject HA
   		green
   		Reject HA
   		Don't Reject H0
   		Reject H0

Answer 1

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null Hypothesis alternate Hypothesis: 0.440 0.440 Ho: Ha for 0.05 level with two tailed test, critical value of Decision rule: 1.960 reject Ho if absolute value of test statistic z >1.96 sample success 460 sample size 1000.0 std error -Se 0.0157 sample proportion p 0.4600 test stat = z (p-p)/Se- 1.27

H0: p=.44, HA: p≠.44

value of the test statistic =1.27

p value=0.101

Which of the following is(are) the correct (best) critical value(s)? -1.96, 1.96

Which of the following is the correct decision? Don't Reject H₀