A superintendent of a school district conducted a survey to find out the level of job satisfaction among teachers. Out of 53 teachers who replied to the survey, 13 claim they are satisfied with their job. z equals fraction numerator p with hat on top minus p over denominator square root of begin display style fraction numerator p q over denominator n end fraction end style end root end fraction
The superintendent wishes to construct a significance test for her data. She find that the proportion of satisfied teachers nationally is 18.4%.
What is the z-statistic for this data? Answer choices are rounded to the hundredths place.
a. 2.90
b. 1.15
c. 1.24
d. 0.61

b. 1.15

Step-by-step explanation:

The z statistics is given by:

In which X is the found proportion, p is the expected proportion, and s, which is the standard error is

Out of 53 teachers who replied to the survey, 13 claim they are satisfied with their job.

This means that

She find that the proportion of satisfied teachers nationally is 18.4%.

This means that

Standard error:

p = 0.184, n = 53.

So

Z-statistic:

The correct answer is:

b. 1.15

a

step-by-step explanation:

the number of possible outcomes that do not show a 1 on the first spinner and show the number 4 on the second spinner is 2.

spinner 1 spinner 2

1                     1

1                     2

1                     3

1                     4

2                   1

2                   2

2                   3

2                   4   = not 1, and 4

3                   1

3                   2

3                   3

3                   4 = not 1, and 4

only 2 outcomes have passed the given condition.

step-by-step explanation: