(b) The data scientist takes a random sample and determines it is appropriate to use a Z test. The value of the test statistic is z = 2.035 (rounded to three decimal places). Draw the appropriate figure for the test. Standard Normal Distribution Step 1: Select one-tailed or two-tailed. One-tailed Two-tailed Step 2: Enter the test statistic. (Round to 3 decimal places.) 04 0.3 0.2- Step 3: Shade the area represented by the p-value. Step 4: Enter the p-value. (Round to 3 decimal places.) 0.1+ (c) What is the result of the data scientist's hypothesis test? The null hypothesis is rejected. The null hypothesis is not rejected. (d) If the true proportion of all raffle tickets being sold online that are winners is 21%, is the result from part (c) correct? The result is correct. The result is incorrect. This is a Type I error. The result is incorrect. This is a Type II error. A data scientist at a consumer advocacy group conducts a hypothesis test at the 0.05 level of significance to determine if the proportion, p, of all raffle tickets being sold online that are winners is different from the advertised 30%. Here are the null hypothesis Ho, and the alternative hypothesis H₁ for the test. Ho: p=0.3 H₁ p 0.3 (a) The result of the data scientist's hypothesis test will be to either reject or not reject the null hypothesis, Ho. Based on whether Ho is in fact true or is in fact false, this result can be correct, a Type I error, or a Type II error. Complete the table below to show when the result will be correct, a Type I error, or a Type II error. (Choose one) (Choose one) (Choose one) Type I error (Choose one) Ho is true Ho is false Reject Ho Do not reject Ho Correct Correct Type II error

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