The result of a biology test was collected, and the grades and gender are summarized below A B C Total Male 5 4 17 26 Female 6 2 15 23 Total 11 6 32 49 Let p p represent the proportion of all female students who would receive a grade of A on this test. Use a 99.5% confidence interval to estimate p p to three decimal places. Enter your answer as a tri-linear inequality using decimals (not percents).

99.5% Confidence interval = (-0.025, 0.547)

= -0.025 < p < 0.547

Step-by-step explanation:

             | A | B | C | Total

Male      | 5 | 4 | 17 | 26

Female | 6 | 2 | 15 | 23

Total     | 11 | 6 | 32 | 49

If p represent the proportion of all female students who would receive a grade of A on this test. Use a 99.5% confidence interval to estimate p to three decimal places.

All female students = 23

Female students that score an A = 6

p = (6/23) = 0.2608695652 = 0.261

Confidence Interval for the population proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample proportion) ± (Margin of error)

Sample proportion = (6/23) = 0.261

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error)

Critical value at 99.5% confidence interval for sample size of 23 is obtained from the t-tables since information on the population standard deviation is not known.

we first find the degree of freedom and the significance level.

Degree of freedom = df = n - 1 = 23 - 1 = 22.

Significance level for 99.5% confidence interval

(100% - 99.5%)/2 = 0.25% = 0.0025

t (0.0025, 22) = 3.119 (from the t-tables)

Standard error of the mean = σₓ = √[p(1-p)/N]

p = 0.261

N = sample size = 23

σₓ = √(0.261×0.739/23) = 0.091575

99.5% Confidence Interval = (Sample proportion) ± [(Critical value) × (standard Error)]

CI = 0.261 ± (3.119 × 0.091575)

CI = 0.261 ± 0.2856

99.5% CI = (-0.0246, 0.5466)

99.5% Confidence interval = (-0.025, 0.547)

= -0.025 < p < 0.547

Hope this Helps!!!

isi

step-by-step explanation:

use that smart brain

there are 70 more legs than eyes at the dog show (196 – 126 = 70). dogs have two more legs than eyes, and humans have the same number of legs as eyes. thus 70 is twice the number of dogs at the show, so the number of dogs is half of 70, which is 35. to get the number of humans, subtract 35 from 63: 63 – 35 = 28.

step-by-step explanation: