Answer Happy

A random sample of 138 people ages 16 to 19 were taken from the island of canu, Hawan, and 11 were found to be in school dropouts. Another random sample of 152 people ages 16 19 were taken from Sweetwater County, Wyoming, and 6 were found to be high school dropouts. Do these data indicate that the population proportion of high school dropouts on Oahu is different (either way) from that of Sweetwater County? Use a 1% level of significance (a) What is the level of significance? State the null and alternate hypotheses. Ho: P, D, H: PLP2 OMP Pai MPP2 O Hot P PiMP O Mo Di Mi : 2 () What sampling distribution will you use? What assumptions are you making? The Student's The number of trials is sufficiently targe. The standard normal. The number of trials is sufficiently large. The student's. We assume the population distributions are approximately normal The standard normal. We assume the population distributions are approximately normal What is the value of the sample test statistic? (Test the difference p1-P), Do not use rounded values, Round your final answer to two decimal places.) (C) Find (or estimate the P-value. (Round your answer to four decimal places.) Sketch the sampling distribution and show the area corresponding to the 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 a? At the a = 0.01 level, we reject the nult hypothesis and conclude the data are not statistically significant. At the a = 0.01 level, we fail to reject the null hypothesis and conclude the data are statistically significant At the a = 0.01 level, we reject the null hypothesis and conclude the data are statistically significant. At the a = 0.01 level, we fail to reject the null hypothesis and conclude the data are not statistically significant. (e) Interpret your conclusion in the context of the application. Reject the null hypothesis, there is insufficient evidence that the proportion of high-school dropouts on Oahu differs from that of Sweetwater County. Fail to reject the null hypothesis, there is insufficient evidence that the proportion of high-school dropouts on Oahu differs from that of Sweetwater County, Fall to reject the null hypothesis, there is sufficient evidence that the proportion of high-school dropouts on Oahu differs from that of Sweetwater County O Reject the null hypothesis, there is sufficient evidence that the proportion of high-school dropouts on Oahu differs from that of Sweetwater County,