Question

An executive believes that no more than 78% of the company’s employees take all of their vacation days. In a sample of 193 members, 143 employees took all of their vacation days. When testing the executive's hypothesis (using a 1% level of significance), what is the test statistic? (please round your answer to 2 decimal places)

An executive believes that no more than 80% of the company’s employees take all of their vacation days. In a sample of 190 members, 140 employees took all of their vacation days. Therefore, the test statistic is -2.18. When testing the executive's (using a 1% level of significance), what is the p-value? (please round your answer to 4 decimal places)

In a sample of 59 business trips taken by employees in the HR department, a company finds that the average amount spent for the trips was $1,459 with a standard deviation of $468. In a sample of 84 trips taken by the employees in the sales department is $1,648 with a standard deviation of $558. When testing the hypothesis (at the 5% level of significance) that the average amount spent on trips taken by the sales department are higher than those taken by the HR department what is the test statistic? (please round your answer to 2 decimal places)

Answer 1

(1)

H0: Null Hypothesis: P 0.78 ( No more than 78% of the company’s employees take all of their vacation days. ) (Claim)

HA: Alternative Hypothesis: P > 0.78 ( More than 78% of the company’s employees take all of their vacation days. )

n = 193

= 143/193 = 0.7409

Test Statistic is given by:

So,

the test statistic = - 1.31

(2)

H0: Null Hypothesis: P 0.80 ( No more than 80% of the company’s employees take all of their vacation days. ) (Claim)

HA: Alternative Hypothesis: P > 0.80 ( More than 80% of the company’s employees take all of their vacation days. )

n = 190

= 140/190 = 0.7368

Test Statistic is given by:

So,

the test statistic = - 2.18

One Tail - Right Side Test

By Technology,

p - value = 0.9852

(3)

H0: Null Hypothesis: ( The average amount spent on trips taken by the sales department are not higher than those taken by the HR department )

HA: Alternative Hypothesis: ( The average amount spent on trips taken by the sales department are higher than those taken by the HR department ) (Claim)

n1 = 59

1 = 1459

s1 = 468

n2 = 84

2 = 1648

s2 = 558

Pooled Standard Deviation is given by:

Test Statistic is given by:

the test statistic = - 2.13