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 of 1200 adults in that country, 33% say that they would travel into space on a commercial flight if they could afford it. At $\alpha = 0.01$, is there enough evidence to reject the research center's claim? Complete parts (a) through (c) below.
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 H$_a$. Select the correct choice below and fill in the answer boxes to complete your choice.
(Round to two decimal places as needed.)
A. H$_0$: p $\ge$
H$_a$: p <
B. H$_0$: p <
H$_a$: p $\ge$
C. H$_0$: p >
H$_a$: p $\le$
D. H$_0$: p $\le$
H$_a$: p >
E. H$_0$: p = 0.29
H$_a$: p $\ne$ 0.29
F. H$_0$: p $\ne$
H$_a$: p =
(b) Use technology to find the P-value.
Identify the standardized test statistic.
z = 3.06
(Round to two decimal places as needed.)
Identify the P-value.
P =
(Round to three decimal places as needed.)