According to a Pew Research Center study, in May 2011, 40% of all American adults had a smart phone (one which the user can use to read email and surf the Internet). A communications professor at a university believes this percentage is higher among community college students. She selects 341 community college students at random and finds that 147 of them have a smart phone. Then in testing the hypotheses: H0: p = 0.4 versus

Ha: p > 0.4,

what is the test statistic?

z =. (Please round your answer to two decimal places.)

B.)

According to a Pew Research Center study, in May 2011, 33% of all American adults had a smart phone (one which the user can use to read email and surf the Internet). A communications professor at a university believes this percentage is higher among community college students. She selects 349 community college students at random and finds that 138 of them have a smart phone. In testing the hypotheses:

H0: p = 0.33 versus

Ha: p > 0.33,

she calculates the test statistic as z = 2.5990.

Then the p‑value = .

(Please round your answer to four decimal places.)

z = 1.17

P - value = 0.0047

Step-by-step explanation:

A.

From the given information;

H0: p = 0.4 versus

Ha: p > 0.4,

Let's calculate the population proportion for the point estimate;

the population proportion = 147/341

the population proportion   = 0.431085

However; the test statistics can therefore be determined by using the formula:

z = 1.1717

z = 1.17             to two decimal places

B.)

The null and the alternative hypothesis is given as:

H0: p = 0.33 versus

Ha: p > 0.33,

The z = 2.5990.

The objective here is to determine the p-value from the z test statistics.

P - value = P(Z > 2.5990)

P- value = 1 -  P(Z < 2.5990)

P - value = 1 - 0.9953

P - value = 0.0047

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

"if it is my birthday, then it is snowing"