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Answer:
Step-by-step explanation:
The summary of the given data includes;
sample size for the first school = 42
sample size for the second school = 34
so 16 out of 42 i.e = 16 and 18 out of 34 i.e
= 18 have ear infection.
the proportion of students with ear infection Is as follows:
= 0.38095
= 0.5294
Since this is a two tailed test , the null and the alternative hypothesis can be computed as :
level of significance ∝ = 0.05,
Using the table of standard normal distribution, the value of z that corresponds to the two-tailed probability 0.05 is 1.96. Thus, we will reject the null hypothesis if the value of the test statistics is less than -1.96 or more than 1.96.
The test statistics for the difference in proportion can be achieved by using a pooled sample proportion.
The pooled standard error can be computed by using the formula:
The test statistics is ;
z = - 1.368
Decision Rule: Since the test statistics is greater than the rejection region - 1.96 , we fail to reject the null hypothesis.
Conclusion: There is insufficient evidence to support the claim that a difference exists between the proportions of students who have ear infections at the two schools
The group rent 11 river rent tubes and 4 cooler tubes.
Step-by-step explanation:
Rent for river rent tube = $20
Rent for cooler tubes = $12.50
Total spent = $270
Total tubes rented = 15
Let,
x be the number of river rent tube.
y be the number of cooler tubes.
According to given statement;
x+y=15 Eqn 1
20x+12.50y=270 Eqn 2
Multiplying Eqn 1 by 20
Subtracting Eqn 2 from Eqn 3
Dividing both sides by 7.5
Putting y=4 in Eqn 1
The group rent 11 river rent tubes and 4 cooler tubes.
Keywords: linear equations, subtraction
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