A random sample of n = 1400 observations from a binomial population produced x = 388. H0: p = 0.3 versus Ha: p ? 0.3 (b) Calculate the test statistic and its p-value. (Round your test statistic to two decimal places and your p-value to four decimal places.) z = p-value =
H0: p = 0.3
Ha: p 0.3
Sample proportion = 388 / 1400 = 0.277
Test statistics
Z = - p / sqrt( p( 1 -p ) / n)
= 0.277 - 0.30 / sqrt( 0.30 * 0.70 / 1400)
= -1.88
This is test statistics value.
Two tailed p-value calculated as
p-value = 2 * P( Z < -1.88) ( 2 is multiplied to probability since this is two tailed test)
= 2 * 0.0301
= 0.0602
A random sample of n = 1400 observations from a binomial population produced x = 388....
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