Your company produces a sunblock lotion designed to protect the skin from both UVA and UVB exposure from the sun. You hi

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Your company produces a sunblock lotion designed to
protect the skin from both UVA and UVB exposure from
the sun. You hire a company to compare your product with
the product sold by your major competitor. The testing
company exposes skin on the backs of a sample of 20
people to UVA and UVB rays and measures the protection
provided by each product. For 13 of the subjects, your
product provided better protection, while for the other 7
subjects, your competitor's product provided better
protection. Perform the two-sided significance test and
report the results.
A two-sided significance test comparing the two products
was previously performed where success was defined as the
outcome where your product provided better protection.
Now, take the viewpoint of your competitor where success
is defined to be the outcome where your competitor's
product provides better protection. In other words, n
remains the same, but X is now 7.
Construct the 99% confidence interval for this setting as an
interval of percents. Assume the number of subjects is 200.
Provide your answer as an interval in the form (lower limit,
upper limit). Give the limits to one decimal place.
99% confidence interval: