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?

select one:

a. 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.

b. the p-value is less than than the level of significance and so the data are statistically significant. thus, we reject the null hypothesis.

c. the p-value is greater 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 not statistically significant. thus, we reject the null hypothesis.

e. 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 is not the answer)