Question

based on past experience, a hiring manager believes that less than one-third of applicants are actually qualified for an entry-level position. suppose that in a random sample of 144 applicants for this position, 63 are found to be qualified. do the sample data support the manager's belief? test the relevant hypotheses using a

Answer 1

The no. of people qualified is less than the  managers belief of 0.265

What is P-value?

The likelihood of receiving outcomes from a statistical hypothesis test that are at least as severe as the actual results provided the null hypothesis is true, is known as the p-value in statistics. The p-value provides the minimal level of significance at which the null hypothesis would be rejected as an alternative to rejection points. The alternative hypothesis is more likely to be supported by greater evidence when the p-value is lower.

P-value is frequently utilised by government organisations to increase the credibility of their research or reports. The United States Census Bureau, for instance, mandates that any analysis with a p-value higher than 0.10 be accompanied by a statement stating that the difference is not statistically significant from zero.

Here $H_{0}$ - P =1/3=0.3333

Hi - P <0.3333

Given n =144

x = 63

P^=63/144=0.4375

Test Static = $\frac{P^-P}{\sqrt{\frac{PQ}{n} } }$

= $\frac{0.4375^-0.3333}{\sqrt{\frac{0.3333-(1-0.3333)}{144} } }$

=0.265

P-value =P(Z<2.65)=0.9960, Given $\alpha$ =0.05

here P-Value >$\alpha$

So, don't reject  $H_{0}$

There is no evidence to support the manager's Belief That less Than 1/3 of Applications are qualified

Learn more about P-value from the link below

brainly.com/question/14790912

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