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MArishka [77]
3 years ago
11

A(n) _____________ hypothesis is the statement that is being tested. It usually represents the status quo, and it is not rejecte

d unless there is convincing sample evidence that it is false.
Mathematics
1 answer:
Lorico [155]3 years ago
8 0

Answer: Null hypothesis

Step-by-step explanation: An initial claim or assertion about a population parameter that requires a form of hypothesis test before it can be accepted or rejected is known as the null hypothesis.

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A) H_{0}: p=0.5 (At least half of the workers are women,fair)

B) H_{a}: p<0.5 (Less than half of the workers are women,unfair)

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Step-by-step explanation:

Let p be the proportion of women workers in the company. Null and alternative hypotheses are

H_{0}: p=0.5 (At least half of the workers are women,fair)

H_{a}: p<0.5 (Less than half of the workers are women,unfair)

Test statistic can be found using the equation:

z=\frac{p(s)-p}{\sqrt{\frac{p*(1-p)}{N} } } where

  • p(s) is the sample proportion of women workers (\frac{55}{107} =0.514)
  • p is the proportion assumed under null hypothesis. (0.5)
  • N is the sample size (55+52=107)

Then z=\frac{0.514-0.5}{\sqrt{\frac{0.5*0.5}{107} } } ≈ 0.29

For alpha 0.05, critical value of the test statistic is 1.64 (one tailed)

Since 0.29<1.64, we fail to reject the null hypothesis. There is no significant evidence that the company has unfair hiring practices at 0.05 significance level.

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