What Proportion Believe in One True Love? In a study, a random sample of 2625 US adults were asked whether they agree or disagree that there is "only one true love for each person. The study tells us that 735 of those polled said they agree with the statement. The standard error for this sample proportion is 0.009 (a) Give the best point estimate (b) Give the margin of error margin of error= (c) Find a 95% confidence interval

(a) The best point estimate  of population proportion is, .

(b) The margin of error is 0.018.

(c) The 95% confidence interval for population proportion is (0.262, 0.298).

Step-by-step explanation:

In a random sample of n = 2625 US adults, X = 735 agree with statement "only one true love for each person".

The sample proportion of US adults who agrees is:

The standard error is given to be,

(a)

A point estimate is the numerical value that can be used to estimate the population parameter value. It is computed using the sample values.

The point estimate of population proportion of US adults who agree is given by the sample proportion.

Thus, the best point estimate  of population proportion is, .

(b)

The margin of error for a 95% confidence interval of population proportion is:

For a 95% confidence interval the critical value is:

*Use a z-table for the critical value.

Compute the MOE as follows:

Thus, the margin of error is 0.018.

(c)

The (1 - α) % confidence interval for population proportion is:

Compute the 95% confidence interval for population proportion as follows:

Thus, the 95% confidence interval for population proportion is (0.262, 0.298).

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step-by-step explanation:

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