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Two national polling companies are interested in measuring the support of the Democratic frontrunners for the governor of California. Polling company A uses random-digit-dialing (RDD) to contact 1,000 Californians. A live interviewer asks respondents "Which candidate do you support?" The results of the poll are as follows:Tom Jones: 34% Abigail Lee: 51%Neither: 15%Margin of Error +/2%On the same day, polling company B uses random-digit-dialing to conduct a robo-poll of 1,500 Californians. A prerecorded electronic voice asks respondents "Which candidate do you prefer?" The results of the poll are as follows:Tom Jones: 32% Abigail Lee: 30%Neither: 38%Margin of Error +/-2.5%Which of the following most likely accounts for the difference in the poll results?a.)Poll B has a higher margin of error than Poll A, so it is much less reliable.b.)Both polls use random-digit-dialing, so it's unlikely that either group is representative of the whole population of California.c.)Poll A may be skewed by social desirability bias, as respondents may have been unwilling to report that they did not support either candidate.d.)Poll B uses a leading question that may influence responses, whereas Poll A does not.

Question

Two national polling companies are interested in measuring the support of the Democratic frontrunners for the governor of California. Polling company A uses random-digit-dialing (RDD) to contact 1,000 Californians. A live interviewer asks respondents "Which candidate do you support?" The results of the poll are as follows:Tom Jones: 34% Abigail Lee: 51%Neither: 15%Margin of Error +/2%On the same day, polling company B uses random-digit-dialing to conduct a robo-poll of 1,500 Californians. A prerecorded electronic voice asks respondents "Which candidate do you prefer?" The results of the poll are as follows:Tom Jones: 32% Abigail Lee: 30%Neither: 38%Margin of Error +/-2.5%Which of the following most likely accounts for the difference in the poll results?a.)Poll B has a higher margin of error than Poll A, so it is much less reliable.b.)Both polls use random-digit-dialing, so it's unlikely that either group is representative of the whole population of California.c.)Poll A may be skewed by social desirability bias, as respondents may have been unwilling to report that they did not support either candidate.d.)Poll B uses a leading question that may influence responses, whereas Poll A does not.

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Solution

The most likely reason for the difference in poll results is option c.) Poll A may be skewed by social desirability bias, as respondents may have been unwilling to report that they did not support either candidate.

Here's why:

a.) The margin of error in both polls is

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