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Gun ownership. A friend claims that 33% or less Americans have a gun in their household. To test this claim, I survey 200 random Americans
Gun ownership.A friend claims that 33% or less Americans have a gun in their household. To test this claim, I survey 200 random Americans and find that 72 of them have a gun in their household. What should I conclude about my friend's claim?
(a) Select the correct null and alternative hypotheses.
- Ho: p = 0.36
- Ha: p > 0.36
- Ho: p = 0.33
- Ha: p > 0.33
- Ho: p = 0.36
- Ha: p 0.36
- Ho: p = 0.36
- Ha: p < 0.36
- Ho: p = 0.33
- Ha: p < 0.33
- Ho: p = 0.33
- Ha: p 0.33
(b) Find the p-value (round to three significant figures).
(c) Write the final conclusion using everyday language.
- There is not sufficient evidence to support my friend's claim.
- There is sufficient evidence to support my friend's claim.
- There is sufficient evidence to reject my friend's claim.
- There is not sufficient evidence to reject my friend's claim.
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