Question

In: Statistics and Probability

An news article claims that 62% of people believe in UFOs. A researcher does not believe...

An news article claims that 62% of people believe in UFOs. A researcher does not believe that this figure is accurate. He surveys 1000 people and finds that 580 of them believe in UFOs. Find the p-value for this hypothesis test. Round your answer to 4 decimal places.

Expert Solution

Solution :

Given that,

= 0.62

1 - = 0.38

n = 1000

x = 580

Point estimate = sample proportion = = x / n = 0.58

This a two- tailed test.

The null and alternative hypothesis is,

Ho: p = 0.62

Ha: p 0.62

Test statistics

z = ( - ) / *(1-) / n

= ( 0.58 - 0.62) / (0.62*0.38) /1000

= -2.606

P-value = 2 * P(Z < z )

= 2 * P(Z < -2.606 )

= 2 * 0.0046

= 0.0092

orchestra answered 2 years ago

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