Question

***please use rstudio and describe how to answer this***

I am not learning to do this by hand - a handwritten answer does not help me in the slightest. I need to know how do a hypothesis test in r but my professor did a very poor job of explaining it.

An Office of Admission document at a certain university claims that 54.3% of their undergraduates are female. To test this claim, a random sample of 220 undergraduates was selected. In this sample, 57.3% were female. Is there sufficient evidence to conclude that the document's claim is false? Carry out a hypothesis test at a 3% significance level.

The value of the test statistic is: ___

B. The p-value is ___

D. Your decision for the hypothesis test:

A. Do Not Reject H1
B. Reject H0
C. Reject H1
D. Do Not Reject H0

Answer 1

Solution :

This is the two tailed test .

The null and alternative hypothesis is

H0 : p = 0.543

Ha : p 0.543

n = 220

= 0.573

P0 = 0.543

1 - P0 = 1 - 0.543 =0.457

Test statistic = z

= - P0 / [P0 * (1 - P0 ) / n]

= 0.573 - 0.543 / [(0.543 *0.457) / 220 ]

= 0.89

Test statistic = z = 0.89

P(z > 0.89 ) = 1 - P(z < 0.89 ) = 1 - 0.8133

P-value = 0.1867

= 0.03

P-value >

0.1867 > 0.03

Fail to reject the null hypothesis .

There is not sufficient evidence to suggest that