Question

Consider a drug testing company that provides a test for marijuara usage. Among 301 tested subjects, results from 27 subjects were wrong (either a faise positive or a faise negative. Une 0.01 significance level to test the claim that less tha 10 percent of the best results are wrong. Identify the null and alterative hypotheses for this test. Choose the correct answer below. O A M:p=0.1 Hp01 OB. Hy:p 0.1 Hyp<0.1 OC. Hyp<0.1 Hp0.1 OD Mp=0.1 Hyp#01 Identity the best state for this hypothesis test The best state for this hypothesis testis (Round to two decimal places as needed) Identify the value for this hypothesis test The P-value for this hypothesis testis (Round to the decimal places as needed) Identify the conclusion for this hypothesis est O A Reject Hy. There is suicient evidence to want sport of the claim at less than 10 percent of the best news we wrong Click to select your answers

Answer 1

The following information is provided: The sample size is N : 301, the number of favorable cases is X = 27, and the sample proportion is p = x and the significance level is a = 0.01 27 = 0.0897, 301 (1) Null and Alternative Hypotheses The following null and alternative hypotheses need to be tested: Ho:p = 0.10 Ha: p < 0.10 This corresponds to a left-tailed test, for which a z-test for one population proportion needs to be used. (2) Rejection Region 0.01, and the Based on the information provided, the significance level is a = critical value for a left-tailed test is Zc = -2.33. The rejection region for this left-tailed test is R = {z: z < -2.33} (3) Test Statistics The z-statistic is computed as follows: 2 = P - PO V po(1 – po)/n 0.0897 – 0.10 10.10(1 – 0.10)/301 0.596 (4) Decision about the null hypothesis = :-2.33, it is then concluded that the Since it is observed that z = -0.596 > 2c null hypothesis is not rejected. р 0.2757 > Using the P-value approach: The p-value is p = 0.2757, and since 0.01, it is concluded that the null hypothesis is not rejected. (5) Conclusion It is concluded that the null hypothesis Ho is not rejected. Therefore, there is not enough evidence to claim that the population proportion p is less than po, at the a = 0.01 significance level.

please like ??