Let X be a random variable representing dividend yield of Australian bank stocks. We may assume that x has a normal distribution with A random sample of 19 Australian bank stocks has a sample mean of For the entire Australian stock market, the mean dividend yield is Do these data indicate that the dividend yield of all Australian bank stocks is higher than 5.9%? Use 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?
a) The P-value is less than the level of significance and so the data are not statistically significant. Thus, we reject the null hypothesis.
b) The P-value is less than the level of significance and so the data are statistically significant. Thus, we fail to reject the null hypothesis.
c) The P-value is greater than the level of significance and so the data are statistically significant. Thus, we fail to reject the null hypothesis.
d) The P-value is greater 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 the level of significance and so the data are statistically significant. Thus, we reject the null hypothesis.