SOLUTION: In a sample of 88 children selected randomly from on town, it is found that 8 of them suffer from asthma. Find the p-value for a test of the claim that the proportion of children w

Question 875124: In a sample of 88 children selected randomly from on town, it is found that 8 of them suffer from asthma. Find the p-value for a test of the claim that the proportion of children with asthma is equal to 11%
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
The alternative hypothesis is so this is two tailed test.

Given Info

p = 0.11
phat = 8/88 = 1/11 = 0.0909 (roughly)
n = 88

Test Statistic

z = (phat - p)/(sqrt(p*(1-p)/n))
z = (0.0909 - 0.11)/(sqrt(0.11*(1-0.11)/88))
z = -0.57264221039283
z = -0.57

Now use a table to find the area to the left of z = -0.57

The area to the left of z = -0.57 is 0.2843

Double this to get 2*0.2843 = 0.5686 (remember this is a two tailed test)

The p value is 0.5686

Side Note: this very large p value would result in failing to reject the null hypothesis for many standard significance (alpha) values.
RELATED QUESTIONS
In a sample of 88 children selected randomly from one town, it is found that 8 of them... (answered by ewatrrr)

Test the indicated claim about population proportion. Use the 5 step process for... (answered by Boreal)

A researcher claims that 15% of children suffer from chronic ear infections. A sample of... (answered by ewatrrr)

Referring to the information below, find the probability that a randomly selected finding (answered by ikleyn)

7. The serum cholesterol levels in milligrams/deciliter (mg/dL) in a certain... (answered by Fombitz)

It is estimated that 88% of senior citizens suffer from sleep disorders and 7% suffer... (answered by ikleyn)

At the first tri-city meeting, there are 8 people from town A, 7 people from town B, and (answered by edjones)

just need some help on these couldn't figure them out at all, thank you 11) How many (answered by sudhanshu_kmr)

Suppose that 65% of all adults in a certain community are obese and that 59% suffer from... (answered by jim_thompson5910)