Question

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

Answer 1

Answer: 3. 0.287

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:
`\hat{p}=(113)/(394)`

`=0.286802030457\approx0.287`

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 .