Question

question 15 1 pts ch 23 in a pooled sample proportion, two samples are combined to estimate this single p instead of estimating p1 and p2 separately. true false question 16 1 pts ch 23 a candidate for one of ohios two u.s. senate seats wishes to compare her support among registered voters in the northern half of the state with her support among registered voters in the southern half of the state. a random sample of 2000 registered voters in the northern half of the state is selected, of which 1062 support the candidate. additionally, a random sample of 2000 registered voters in the southern half of the state is selected, of which 900 support the candidate. the estimate (using the large - sample estimate) for the proportion of registered adults in the southern half of the state who support this candidate is 0.375. 0.183. 0.825. 0.450.

Explanation:

Step1: Recall the formula for sample proportion

The formula for sample proportion is $\hat{p}=\frac{x}{n}$, where $x$ is the number of successes in the sample and $n$ is the sample size.

Step2: Identify the values for the southern - half sample

For the southern - half sample, $x = 900$ (number of voters who support the candidate) and $n=2000$ (sample size of voters in the southern half).

Step3: Calculate the sample proportion

Substitute the values into the formula: $\hat{p}=\frac{900}{2000}=0.45$.

Answer:

0.450