A TV pollster believes that 75% of all TV households would be tuned in to Game 6 of 1997 NBA Championship series between the Chicago Bulls and the Utah Jazz. A sample of 1000 TV households was selected and 722 indicated they were tuned into the game. Find the Standard Error for the proportion of households tuned into the game.
To find the Standard Error for the proportion of households tuned into the game, you can use the following formula:
Standard Error = √( p * (1 - p) / n )
Where:
p is the proportion of households tuned into the game
1 - p is the proportion of households not tuned into the game
n is the sample size
In this case, the proportion of households tuned into the game is 722/1000 = 0.722
The proportion of households not tuned into the game is 1 - 0.722 = 0.278
And the sample size is 1000.
Now, plug these values into the formula:
Standard Error = √( 0.722 * 0.278 / 1000 )
Calculating this value gives us:
Standard Error ≈ √( 0.2004 / 1000 )
≈ 0.014148
Therefore, the Standard Error for the proportion of households tuned into the game is approximately 0.014148.