Question

In a study, there were 387 children out of 32,637 who were diagnosed with Autism Spectrum Disorder. Nationally, about 1 in 85 children are diagnosed with ASD. Is there sufficient data to show that the incidence of ASD is more in the study than nationally? Test at the 5% level.

1) State the hypotheses. Round proportions to two decimal places.
H₀:
H_a:

2)Calculate the test statistic. Round to four decimal places.
p̂ =

3)Calculate the standardized test statistic. Round to three decimal places.
z =

4) Find the p-value. Round to four decimal places.
p-value =

5) State your decision.

a) Since the p-value is less than .05, fail to reject H₀.

b) Since the p-value is less than .05, reject H₀.

c) Since the p-value is greater than .05, fail to reject H₀.

d) Since the p-value is greater than .05, reject H₀.

Answer 1

The statistical software output for this problem is:

Hence,

1) Ho: p = 0.01

Ha: p > 0.01

2) Test statistic = 0.0119

3) Standardized test statistic = 0.156

4) p - Value = 0.4381

5) Since the p-value is greater than .05, fail to reject H₀.