Suppose that the study in problem #2 was performed with a random sample ofn = 200 children, and 50 of the children remembered where to look for the object inthe setting that was away from home.
a) Describe the shape, center, and spread of the sampling distribution of $\hat{p}$ if the nullhypothesis Hpo : = 0.35 were true.
b) Is there convincing evidence that the null hypothesis is not true, or is $\hat{p}$ consistentwith what you would expect to see if the null hypothesis were true?
Carry out ahypothesis test to answer this question.

Question

Suppose that the study in problem #2 was performed with a random sample ofn = 200 children, and 50 of the children remembered where to look for the object inthe setting that was away from home.
a) Describe the shape, center, and spread of the sampling distribution of $\hat{p}$ if the nullhypothesis Hpo : = 0.35 were true.
b) Is there convincing evidence that the null hypothesis is not true, or is $\hat{p}$ consistentwith what you would expect to see if the null hypothesis were true?
 Carry out ahypothesis test to answer this question.

Quizplus · Accepted Answer

The Answer is a) a) b) Since the P-value is very small, the null hypothesis is rejected.There is sufficient evidence at the .05 level of significance to conclude that the population proportion of 2-year-olds who remember to look when away from home is less than 0.35.

a) b) Since the P-value is very small, the null hypothesis is rejected.There is sufficient evidence at the .05 level of significance to conclude that the population proportion of 2-year-olds who remember to look when away from home is less than 0.35.

b)

Since the P-value is very small, the null hypothesis is rejected.There is sufficient evidence at the .05 level of significance to conclude that the population proportion of 2-year-olds who remember to look when away from home is less than 0.35.

Suppose That the Study in Problem #2 Was Performed with a Random