Question

born babies are boys Dothe results sup port the belefth at 51 2% of newborn babies are bo Arandom sample of 820 bǐths h ludd426 boys Use a 0 10 signifiance level to test the dain' that 51 2% of n Identily the null and aternative hypotheses for this test Choose the corect answer below A. Ho p-0.512 HI p#0512 О в. нор-0512 Hy p>0512 О С. Не р#0 512 HI p-0.512 H pc0512 dentify the lest statistic for this hypothesis test The test slatistic for this hypothesis test is Round to two decimal places as needed )

Answer 1

Solution

The claim to be tested is p = 51.2% = 0.512

So, the hypothesis can be written as

H0: p = 0.512

H1: p  $\neq$ 0.512

Now,

n = 820

x = 426

Let $\hat p$ be the sample proportion

$\hat p$ = x/n = 426/820 =  0.5195

Now the test statistic z is given by

z =   

P-p p(1-p) 7t

=  

0.5195-0.512 0.512(1-0.512)) 820

= 0.43 is the test statistic