Presidential Poll. A research group suspects that less than 45% of Americans sup

Question

Presidential Poll. A research group suspects that less than 45% of Americans support the Republican presidential candidate. To test this claim, they randomly call Americans until they get 1000 responses. Of the 1000 people who responded, 430 of them say they support the Republican presidential candidate. Test the research group's suspicion (a) Select the correct null and alternative hypotheses. Ho: p-0.4:3 H: p 0.4.5 ???: p 0.43 Hl: p >0.4:3 Ho: p-0.45 Hy p . O.45 Ho: p 0.45 Hl: p 0.45 Ho: p - 0.4:3 H: p 0.43

Explanation / Answer

The statistical software output for this problem is:

One sample proportion summary hypothesis test:
p : Proportion of successes
H0 : p = 0.45
HA : p < 0.45

Hypothesis test results:

Hence,

a) Ho: p = 0.45

H1: p < 0.45

Option D is correct.

b) p - value = 0.102

c) Conclusion: Option B is correct.

d) Option C and Option D are correct.

Proportion Count Total Sample Prop. Std. Err. Z-Stat P-value p 430 1000 0.43 0.015732133 -1.2712835 0.1018

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