How can I solve this question using R programming? 13.86. Samples of three mater

Question

How can I solve this question using R programming?

13.86. Samples of three materials under consideration for
the housing of machinery on a seagoing vessel are tested
by means of a salt-spray test. Any sample that leaks when
subject to a power spray is considered to have failed. The
following are the test results:
Material A Material B Material C
Number leaked 36 22 18
Number not leaked 63 45 29
Use a suitable statistical computer program to test at the
0.05 level of significance if the three materials have the
same probability of leaking in this test.

Explanation / Answer

H0: There is no relation between materials and leakage

H1:There is a relation between materials and leakage

alpha:5%

Test statistic:

we use chi square

Chi square=0.3967

Chi square critical value at 2df=5.9915

Chi square cal < chi square critical value , we do not reject the Ho.

Hence claim is not significant

Oi ei (oi-ei)^2/ei 36 35.3239437 0.012939 22 23.9061033 0.151979 18 16.7699531 0.090222 63 63.6760563 0.007178 45 43.0938967 0.08431 29 30.2300469 0.05005

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