A plan for an executive travelers' club has been developed by an airline on the premise that 5% of its current customers

[answerhappygod]

A plan for an executive travelers' club has been developed by an
airline on the premise that 5% of its current customers would
qualify for membership. A random sample of 500 customers
yielded 39 who would qualify.
(a) Using this data, test at level 0.01 the null hypothesis that
the company's premise is correct against the alternative that it is
not correct.
State the appropriate null and alternative hypotheses.
H0: p ≠ 0.05
Ha: p <
0.05H0: p = 0.05
Ha: p >
0.05 H0: p ≠ 0.05
Ha: p =
0.05H0: p = 0.05
Ha: p ≠ 0.05
Calculate the test statistic and determine
the P-value. (Round your test statistic to two
decimal places and your P-value to four decimal
places.)
State the conclusion in the problem context.
Reject the null hypothesis. There is sufficient evidence to
conclude that the company's premise is incorrect.Do not reject the
null hypothesis. There is not sufficient evidence to conclude that
the company's premise is incorrect. Do not
reject the null hypothesis. There is sufficient evidence to
conclude that the company's premise is incorrect.Reject the null
hypothesis. There is not sufficient evidence to conclude that the
company's premise is incorrect.
(b) What is the probability that when the test of part (a) is used,
the company's premise will be judged correct when in fact 10% of
all current customers qualify. (Round your answer to four decimal
places.)