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 12 Australian bank stocks has a sample mean of Do these data indicate that the dividend yield of all Australian bank stocks is higher than 6.2%? What is the p_value?
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Let $x$ be a random variable representing dividend yield of Australian bank stocks. We may assume that $x$ has a normal distribution with $\sigma=2.4 \% .$ A random sample of 10 Australian bank stocks gave the following yields. $\begin{array}{llllllllll}5.7 & 4.8 & 6.0 & 4.9 & 4.0 & 3.4 & 6.5 & 7.1 & 5.3 & 6.1\end{array}$ The sample mean is $\bar{x}=5.38 \%$. For the entire Australian stock market, the mean dividend yield is $\mu=4.7 \%$ (Reference: Forbes). Do these data indicate that the dividend yield of all Australian bank stocks is higher than $4.7 \% ?$ Use $\alpha=0.01$.
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Adi S.
Please provide the following information. (a) What is the level of significance? State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. Compute the $z$ value of the sample test statistic. (c) Find (or estimate) the $P$ -value. Sketch the sampling distribution and show the area corresponding to the $P$ -value. (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level $\alpha ?$ (e) Interpret your conclusion in the context of the application. Let $x$ be a random variable representing dividend yield of Australian bank stocks. We may assume that $x$ has a normal distribution with $\sigma=2.4 \% .$ A random sample of 10 Australian bank stocks gave the following yields. The sample mean is $\bar{x}=5.38 \% .$ For the entire Australian stock market, the mean dividend yield is $\mu=4.7 \%$ (Reference: Forbes). Do these data indicate that the dividend yield of all Australian bank stocks is higher than $4.7 \% ?$ Use $\alpha=0.01$
Hypothesis Testing
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