When 394 Beach Boys fans were surveyed, 113 said that California girls was their fav song. Find a point estimate for the true proportion of BB fans who favor that song??

1. 0.713
2. 113
3. 0.287
4. 0.95
5. None of the above

Respuesta :

Answer: 3. 0.287

Step-by-step explanation:

Let p be the true proportion of BB fans who favor that song.

As per given, Sample size for survey of Beach Boys fans = 394

Number of Beach Boys fans said that California girls was their fav song = 113

Then, the sample proportion of BB fans who favor that song: [tex]\hat{p}=\dfrac{113}{394}[/tex]

[tex]=0.286802030457\approx0.287[/tex]

Since sample proportion is the best estimate for the true proportion.

Hence, a point estimate for the true proportion of BB fans who favor that song is 0.287.

So, the correct option is 3. 0.287 .