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12. [0.19I0.28 Points] BBUNDERSTAT128.1.022. The price to earnings ratio (P/E) is an important tool in nancial work. A random sample of 14 large US. banks (J. P. Morgan, Bank of America, and others) gave the following P/ E ratios.t 2416221412131722151923131113 The sample mean is 3217.1. Generally speaking. a low P/E ratio indicates a "value" or bargain stock. Suppose a recent copy of a magazine indicated that the P/E ratio of a certain stock index is p = 18. Let x be a random variable representing the P/E ratio of all large US. bank stocks. We assume that X has a normal distribution and 0' = 4.6. Do these data indicate that the P/E ratio of all U.S. bank stocks is less than 18? Use CI = 0.10. (a) What is the level of signicance? State the null and alternate hypotheses. Will you use a left- tailed, right-tailed, or two-tailed test? Harp =18; H141 1a,- right-tailed Harp =18; H1rlu * 18:1wo-tailed Harp * 18; H141 =18;two-tailed 0 Harp =15; Hf): 4.6 g; right-tailed O Ho: M 85; n'gl'rHailed H041 = 85; H141 * 85; twotailed Hazy > 85;H1: ,u : 85;n'ghttailed H0: p = 85; H1zy