Assume that the significance level is a=0.05. use the given information to find the p-value and the critical value(s). the test statistic of z=1.34 is obtained when testing the claim that p> 0.1

a) p-value= ? ?

b) the critical value(s) is/are z=

The required P value is 0.0901.

The critical value for the test statistic is 1.645.

Step-by-step explanation:

Consider the provided information.

The test statistic of z=1.34 is obtained when testing the claim that p> 0.1

It is given given that z=1.34 as the claim has greater than inequality so it is a right tailed test.

Part (A) P-value

From the Standard normal distribution table .

Therefore,

Hence, the required P value is 0.0901.

Part (B) The critical value(s) is/are z=

It is given that the significance level is α=0.05

Using standard z value table we get the critical value for the test statistic is 1.645.

Hence, the critical value for the test statistic is 1.645.

21

Sofia cuts a piece in the shape of a kite for an art project  

top two sides measure 20 cm each  

bottom two sides measure 13 cm each.  

One diagonal, EG, measures 24 cm

Find out the length of the other diagonal, DF.

explanation-

DE = EF = 20cm

DG = GF = 13cm

EG = 24cm

DF = ?

In kite shape

One diagonal is the perpendicular bisector of the other diagonal.

i.e EG is the perpendicular bisector of DF

i.e EG is divided into two equal parts

thus EA = AG = 12cm

in Δ EAF

By applying the pythagorus theorem

we have

EF² = FA²+ EA²

20² = 12² + FA²

400 -144 = FA²

256 =FA²

16cm = FA

Now in Δ DAG

DG² = AG² + DA²

13² = 12 ²+ DA²

169 -144 = DA²

25 = DA²

5cm = DA

Step-by-step explanation: