What is Your Sleep Position? How do you position yourself when you are going to sleep? A website1 tells us that 41% of us start in the fetal position, another 28% start on our side with legs straight, 13% start on their back, and 7% on their stomach. The remaining 11% have no standard starting sleep position. If a random sample of 1000 people produces the frequencies in Table 1, should you doubt the proportions given in the article on the website? Show all details of the test, and use a 5% significance level.

Sleep position Frequency

Fetal 391

Side, legs straight 257

Back 156

Stomach 89

None 107

Total 1000

calculate

x^2:

p value: