Part 1 of 5
Points: 0 of 1
Save
A research center claims that $29 \%$ of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample o 1100 adults in that country, $33 \%$ say that they would travel into space on a commercial flight if they could afford it. At $\alpha=0.10$, is there enough evidence reject the research center's claim? Complete parts (a) through (d) below.
(a) Identify the claim and state $\mathrm{H}_{0}$ and $\mathrm{H}_{a}$.
Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice.
(Type an integer or a decimal. Do not round.)
A. The percentage adults in the country who would travel into space on a commercial flight if they could afford it is not $\square \%$.
B. No more than $\square \%$ of adults in the country would travel into space on a commercial flight if they could afford it.
C. At least $\square \%$ of adults in the country would travel into space on a commercial flight if they could afford it.
D. $\square \%$ of adults in the country would travel into space on a commercial flight if they could afford it.
Answer
The final answer is: The claim is D. '29% of adults in the country would travel into space on a commercial flight if they could afford it.' The null hypothesis H0 is 'The proportion of adults who would travel into space on a commercial flight if they could afford it is 29%.' The alternative hypothesis Ha is 'The proportion of adults who would travel into space on a commercial flight if they could afford it is not 29%.'
Step 1 ：The claim in this scenario is made by the research center, which states that 29% of adults in the country would travel into space on a commercial flight if they could afford it. This is the hypothesis we are testing against the sample data. Therefore, the correct choice is D. '29% of adults in the country would travel into space on a commercial flight if they could afford it.'
Step 2 ：The null hypothesis (H0) is the statement that the research center's claim is true, i.e., the proportion of adults who would travel into space on a commercial flight if they could afford it is 29%.
Step 3 ：The alternative hypothesis (Ha) is the statement that the research center's claim is not true, i.e., the proportion of adults who would travel into space on a commercial flight if they could afford it is not 29%.
Step 4 ：The final answer is: The claim is D. '29% of adults in the country would travel into space on a commercial flight if they could afford it.' The null hypothesis H0 is 'The proportion of adults who would travel into space on a commercial flight if they could afford it is 29%.' The alternative hypothesis Ha is 'The proportion of adults who would travel into space on a commercial flight if they could afford it is not 29%.'
