Tech Worx magazine reported that91%of software engineers rate the company they work for as "a good place to work." You are a headhunter, and as such you state that the percentage in the report is not correct. In a survey of220randomly selected software engineers, 207rated the company they work for as "a good place to work." Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the significance level of0.05, to support his claim that the ratio,p, of all software engineers who rate the company they work for as "a good place to work" is not91%. (to) Formulate the null hypothesish and the alternative hypothesish that you will use in your test. np=0 n61-p) = Р (c) carry out aZ -testand find thep-value. P 0<0 OSO ☐>0 020 ローロ 0#0 X (b) In this hypothesis test, you will use az test . Find the values ofn pandn61-p) to confirm that you can use aZ -test. (A standard is thatnp≥10and n61-p) ≥10under the assumption that the null hypothesis is true.) Here is the sample size and is the proportion of the population that is testing.

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Tech Worx magazine reported that91%of software engineers rate the company they work for as "a good place to work." You are a headhunter, and as such you
state that the percentage in the report is not correct. In a survey of220randomly selected software engineers, 207rated the company they work for as "a good
place to work."
Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the significance level of0.05, to support his claim that the ratio,p, of
all software engineers who rate the company they work for as "a good place to work" is not91%.
(to) Formulate the null hypothesish and the alternative hypothesish that you will use in your test.
ho: 0
h₁:0
Р
np=
n61-p) =
(c) carry out aZ -testand find thep-value.
O<O OSO
ロミロ
X
ô
X
7 tont
O<O
(b) In this hypothesis test, you will use az test . Find the values ofn pandn 61-p)to confirm that you can use aZ -test, (A standard is thatnp≥10and
n61-p) ≥10under the assumption that the null hypothesis is true.) Here is the sample size and is the proportion of the population that is testing.
0=0 ロ≠ロ
Ś
Ś
Transcribed Image Text:Tech Worx magazine reported that91%of software engineers rate the company they work for as "a good place to work." You are a headhunter, and as such you state that the percentage in the report is not correct. In a survey of220randomly selected software engineers, 207rated the company they work for as "a good place to work." Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the significance level of0.05, to support his claim that the ratio,p, of all software engineers who rate the company they work for as "a good place to work" is not91%. (to) Formulate the null hypothesish and the alternative hypothesish that you will use in your test. ho: 0 h₁:0 Р np= n61-p) = (c) carry out aZ -testand find thep-value. O<O OSO ロミロ X ô X 7 tont O<O (b) In this hypothesis test, you will use az test . Find the values ofn pandn 61-p)to confirm that you can use aZ -test, (A standard is thatnp≥10and n61-p) ≥10under the assumption that the null hypothesis is true.) Here is the sample size and is the proportion of the population that is testing. 0=0 ロ≠ロ Ś Ś
Here is some information to help you in yourZ test.
• The value of the test statistic is given by
no
• The p- value is twice the area under the curve to the right of the value of the test statistic.
standard normal distribution
Step 1: Select one queue or two
queues.
A tail
two tails
Step 2: Enter the test statistic.
(Round to 3 decimal places.
Step 3: Shade the area represented by
the p value.
р-р
p(1-p)
Step 4: Enter the p- value.
(Round to 3 decimal places.
0.4
0.3+
0.2-
0.1
Transcribed Image Text:Here is some information to help you in yourZ test. • The value of the test statistic is given by no • The p- value is twice the area under the curve to the right of the value of the test statistic. standard normal distribution Step 1: Select one queue or two queues. A tail two tails Step 2: Enter the test statistic. (Round to 3 decimal places. Step 3: Shade the area represented by the p value. р-р p(1-p) Step 4: Enter the p- value. (Round to 3 decimal places. 0.4 0.3+ 0.2- 0.1
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(d) Based on your answer to part (c), choose what can be concluded, at the significance level of0.05about your statement.
Since thep-valueis less than (or equal to) the significance level, the null hypothesis is rejected. Therefore, there is
enough evidence to support the claim that the percentage of software engineers who rate the company they work for
as "a good place to work" is not91%.
Since thep-valueis less than (or equal to) the significance level, the null hypothesis is not rejected. Therefore, there is
not enough evidence to support the claim that the percentage of software engineers who rate the company they work
for as "a good place to work" is not91%.
Since thep-valueis greater than the significance level, the null hypothesis is rejected. Therefore, there is enough
evidence to support the claim that the percentage of software engineers who rate the company they work for as "a
good place to work" is not91%.
Since thep-valueis greater than the significance level, the null hypothesis is not rejected. Therefore, there is not
enough evidence to support the claim that the percentage of software engineers who rate the company they work for
as "a good place to work" is not91%.
Transcribed Image Text:(d) Based on your answer to part (c), choose what can be concluded, at the significance level of0.05about your statement. Since thep-valueis less than (or equal to) the significance level, the null hypothesis is rejected. Therefore, there is enough evidence to support the claim that the percentage of software engineers who rate the company they work for as "a good place to work" is not91%. Since thep-valueis less than (or equal to) the significance level, the null hypothesis is not rejected. Therefore, there is not enough evidence to support the claim that the percentage of software engineers who rate the company they work for as "a good place to work" is not91%. Since thep-valueis greater than the significance level, the null hypothesis is rejected. Therefore, there is enough evidence to support the claim that the percentage of software engineers who rate the company they work for as "a good place to work" is not91%. Since thep-valueis greater than the significance level, the null hypothesis is not rejected. Therefore, there is not enough evidence to support the claim that the percentage of software engineers who rate the company they work for as "a good place to work" is not91%.
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