Question

one of the questions rasmussen reports included on a 2018 survey of 1007 likely voters asked if the country is headed in the right direction. representative data are shown in the file rightdirection. a response of yes indicates that the respondent does think the country is headed in the right direction. a response of no indicates that the respondent does not think the country is headed in the right direction. respondents may also give a response of not sure. click on the datafile logo to reference the data. a. what is the point estimate of the proportion of the population of likely voters who do think that the country is headed in the right direction (to 4 decimals)?

Answer 1

The point estimate of the proportion of likely voters who think the country is headed in the right direction is found by dividing the number of 'yes' responses by the total sample size, and rounding the result to four decimal places.

Step-by-step explanation:

To calculate the point estimate of the proportion of the population of likely voters who think that the country is headed in the right direction, we use the formula for the point estimate of a population proportion, which is P' = X / n, where X is the number of successes and n is the total sample size. Here, a success is a response of 'yes' to the survey question.

In the context of this question, assume that the number of 'yes' responses is not given, since the datafile is not provided. However, if you had that number, let's say Y, and with the total number of respondents being 1007, the point estimate would be computed as P' = Y / 1007. You would then convert this fraction to a decimal and round it to four decimal places to obtain the point estimate.

For example, if 350 out of the 1007 respondents answered 'yes', the point estimate would be P' = 350 / 1007 = 0.3475, rounded to four decimal places.