Question

Question: In 2008, there were 507 children in Arizona out of 32,601 who were diagnosed with Autism Spectrum Disorder (ASD) ("Autism and developmental," 2008). Nationally 1 in 88 children are diagnosed with ASD ("CDC features -," 2013). Is there sufficient data to show that the incident of ASD is more in Arizona than nationally? Test at the 2% level.

(i) Which of the following statements correctly defines the null hypothesis HO?

A. p = 0.011 B. μ = 507 C. μ < 507 D. p < 0.011 Enter letter corresponding to correct answer

(ii) Which of the following statements correctly defines the alternative hypothesis HA? A. p = 0.011 B. μ = 507 C. μ < 507 D. p > 0.011 Enter letter corresponding to correct answer

(iii) Enter the level of significance α used for this test: Enter in decimal form. Examples of correctly entered answers: 0.01 0.02 0.05 0.10

(iv) Determine pˆ Enter in decimal form to nearest ten-thousandth. Examples of correctly entered answers: 0.0001 0.0020 0.0500 0.3000 0.7115

(v) Do values for np and nq both exceed 5? Enter YES or NO for answer

(vi) Calculate and enter test statistic Enter value in decimal form rounded to nearest tenth with appropriate sign (no spaces). Examples of correctly entered answers: –2.0 –0.3 +0.6 +1.2

(vii) Using tables, calculator, or spreadsheet: Determine and enter p-value corresponding to test statistic. Enter value in decimal form rounded to nearest thousandth. Examples of correctly entered answers: 0.000 0.001 0.030 0.600 0.814 1.000

(viii) Comparing p-value and α value, which is the correct decision to make for this hypothesis test?

A. Reject Ho B. Fail to reject Ho C. Accept Ho D. Accept HA Enter letter corresponding to correct answer.

(ix) Select the statement that most correctly interprets the result of this test:

A. The result is statistically significant at .02 level of significance. Evidence supports the claim that the proportion of Arizona children in 2008 with ASD is more than the national proportion. B. The result is statistically significant at .02 level of significance. There is not enough evidence to show that the proportion of Arizona children in 2008 with ASD is not more than the national proportion. C. The result is not statistically significant at .02 level of significance. There is not enough evidence to show that the proportion of Arizona children in 2008 with ASD is more than the national proportion. D. The result is not statistically significant at .02 level of significance. Evidence supports the claim that the proportion of Arizona children in 2008 with ASD is not more than the national proportion. Enter letter corresponding to most correct answer.

Answer 1