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The question is not complete, so i have attached it.
Answer:
A) CI = (-0.1969, 0.0269)
B) There is no major difference between the two pieces of equipment because from the confidence interval we calculated earlier, we can see that it also includes 0. This implies that there is not a significant difference between the two provided proportions.
Step-by-step explanation:
A) We are dealing with service contract sold on treadmills versus service contracts sold on exercise bikes. Thus;
Sample proportion of service contract sold on treadmills is;
p1^ = 67/185
p1^ = 0.3622
Similarly, Sample proportion of service contract sold on exercise bikes is;
p2^ = 55/123
p2^ = 0.4472
Sample size of service contract sold on treadmills; n1 = 185
Sample size of service contract sold on exercise bikes; n2 = 123
Critical value at 95% significance level is; z = 1.96
Formula for confidence interval in this situation is;
CI = (p1^ - p2^) ± z√[(p1^(1 - p1^)/n1) + (p2^(1 - p2^)/n2)]
Plugging in the relevant values gives;
CI = (0.3622 - 0.4472) ± 1.96√[(0.3622(1 - 0.3622)/185) + (0.4472(1 - 0.4472)/123)]
CI = -0.085 ± 1.96√(0.00124870897 + 0.00201)
CI = -0.085 ± 1.96(0.05709)
CI = -0.085 ± 0.1119
CI = (-0.1969, 0.0269)
B) There is no major difference between the two pieces of equipment because from the confidence interval we calculated earlier, we can see that it also includes 0. This implies that there is not a significant difference between the two provided proportions.
Representing 3 and one tenth as decimal by 3.1
<u>Step-by-step explanation:</u>
Here 3 is the whole number.
1 tenth is nothing but .
= 0.1
When we write numerals with tenths using the decimals we can use a decimal point also the tenths positioned to the right of the decimal point. The tenth place is denoted as immediately right to the decimal point.
So it is represented as 3.1.