Let x be a random variable representing
dividend yield of Australian bank stocks. We may assume
that x has a normal distribution
with σ = 2.6%. A random sample of 17
Australian bank stocks has a sample mean
of x = 8.76%. For the entire Australian
stock market, the mean dividend yield
is μ = 6.5%. Do these data indicate that
the dividend yield of all Australian bank stocks is higher than
6.5%? Use α = 0.01. Are the data
statistically significant at the given level of significance? Based
on your answers, will you reject or fail to reject the null
hypothesis?
Group of answer choices:
a. The P-value is greater than than the level of
significance and so the data are statistically significant. Thus,
we reject the null hypothesis.
b. The P-value is greater than than the level of
significance and so the data are not statistically
significant. Thus, we fail to reject the null
hypothesis.
c. The P-value is less than than the level of significance
and so the data are statistically significant. Thus, we reject the
null hypothesis.
d. The P-value is less than than the level of significance
and so the data are statistically significant. Thus, we
fail to reject the null hypothesis.
e. The P-value is less than than the level of significance
and so the data are not statistically significant. Thus, we
reject the null hypothesis.