Let X Be a Random Variable Representing Dividend Yield of Australian

question 5

Multiple Choice

Let x be a random variable representing dividend yield of Australian bank stocks. We may assume that x has a normal distribution with $\sigma$ = 2.9%. A random sample of 8 Australian bank stocks has a sample mean of x = 6.74%. For the entire Australian stock market, the mean dividend yield is $\mu$ = 6.2%. Do these data indicate that the dividend yield of all Australian bank stocks is higher than 6.2%? Use $\alpha$ = 0.05. 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 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 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 fail to reject the null hypothesis.
• D)The P-value is greater 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 greater than than the level of significance and so the data are not statistically significant. Thus, we fail to reject the null hypothesis.

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