Answer: Only 57 percent of babies stay asleep for eight hours straight at the age of one year, Canadian researchers found
Step-by-step explanation:
11)
3x = 180
x = 60
12)
6x + 18 = 180
6x = 162
x = 27
Answer:
That means that there´s a 0.01 of probability that the student is guessing.
Remember that the significance level is related to the strength of the evidence before rejecting the null hypothesis. The Significance level is the probability of rejecting the null hypothesis if it is true.
For example if the significance level is 0.03 it will indicate that there is a 3% of probability that students are guessing.
Lower significance levels indicate that you require stronger evidence before you will reject the null hypothesis.
So we can say that the teacher needs more evidence before rejecting the null hypothesis.
Answer:
Step-by-step explanation:
a) The formula for determining the standard error of the distribution of differences in sample proportions is expressed as
Standard error = √{(p1 - p2)/[(p1(1 - p1)/n1) + p2(1 - p2)/n2}
where
p1 = sample proportion of population 1
p2 = sample proportion of population 2
n1 = number of samples in population 1,
n2 = number of samples in population 2,
From the information given
p1 = 0.77
1 - p1 = 1 - 0.77 = 0.23
n1 = 58
p2 = 0.67
1 - p2 = 1 - 0.67 = 0.33
n2 = 70
Standard error = √{(0.77 - 0.67)/[(0.77)(0.23)/58) + (0.67)(0.33)/70}
= √0.1/(0.0031 + 0.0032)
= √1/0.0063
= 12.6
the standard error of the distribution of differences in sample proportions is 12.6
b) the sample sizes are large enough for the Central Limit Theorem to apply because it is greater than 30
