Statistics & Applications

Inferential

Easy

applied

In a survey question for a sample of 250 individuals, 120 persons gave response 'yes', 80 persons gave response 'no' and 50 gave 'no response'. The point estimate of the proportion in the population who responded 'yes' is:

0.32

0.2

0.48

0.8

✅ Correct Option: 3

A survey was conducted with 250 individuals where:

120 persons gave response 'yes'
80 persons gave response 'no'
50 gave 'no response'

A point estimate is the best single estimate of a population parameter based on sample data.

For proportions, the point estimate is calculated as:

Point Estimate $= \dfrac{\text{Number with characteristic}}{\text{Total sample size}}$

All 250 individuals are included in the total sample size, including those who gave 'no response'. They were part of the sample and must be counted in the denominator.

The point estimate of the proportion who responded 'yes':

Point Estimate $= \dfrac{120}{250}$

Point Estimate $= 0.48$

Based on the survey, the estimate is that 48% of the population would respond 'yes' to this question.

The point estimate of the proportion in the population who responded 'yes' is 0.48.

2026: 18 May Shift 1

Which of the following statements are correct?

(A) A sample size of 30 or more is considered to be sufficient to hold the central limit theorem.

(B) A survey done using a sample of the population has no margin of error.

(D) The sample makes an inference about the population.

Choose the correct answer from the options given below:

2025: 14 May Shift 2

The simple random sample consists of six observations: 5, 8, 10, 7, 10, 14. The point estimate of the population mean is:

2025: 22 May Shift 1

If n is the sample size of the population, then degree of freedom in t-distribution is

2025: 2 June Shift 1

If $x_1, x_2, x_3, ..., x_n$ are n observations in a sample then which of following is/are TRUE?

(A) The mean $\bar{x}$ has n degree of freedom

(B) The mean $\bar{x}$ has (n-1) degree of freedom

(D) The standard deviation of the sample has n degree of freedom

Choose the correct answer from the options given below:

2025: 15 May Shift 1

Which of the following is not correct about the Central Limit Theorem?

2024: 16 May Shift 1

Choose the correct answer from the options given below :-

In a survey question for a sample of 250 individuals, 120 persons gave response 'yes', 80 persons gave response 'no' and 50 gave 'no response'. The point estimate of the proportion in the population who responded 'yes' is:

Solution

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