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A research center claims that 26?% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 800 adults in that? country, 30?% say that they would travel into space on a commercial flight if they could afford it.
α=0.10
is there enough evidence to reject the research? center's claim?
(a) Identify the claim and state H0 and Ha.
A:
26% of adults in the country would travel into space on a commercial flight if they could afford it.
Let p be the population proportion of? successes, where a success is an adult in the country who would travel into space on a commercial flight if they could afford it. State H 0 and Ha.
?: p =0.26
Ha?: pnot equals ≠ 0.26
?(b) Use technology to find the? P-value.
Z= 2.58
P= 0.010
(c) ? Decide whether to reject or fail to reject the null hypothesis and? (d) interpret the decision in the context of the original claim.
Reject the null hypotheses. There is enough evidence to reject the research center's claim.
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