Question

Suppose 241 241 subjects are treated with a drug that is used to treat pain and 51 51 of them developed nausea. Use a 0.10 0.10 significance level to test the claim that more than 20 20?% of users develop nausea.

Answer 1

Total number of subjet treated with a drug : n= 241

Number of subjects who developed nausea : x = 51

To Test the Claim more than 20% of users develop nausea; i.e proportion of users develop nausea > 0.20

Null hypothesis : Ho :p =po (:0.20)

Alternate hypothesis : Ha :p > po (:0.20) :Right Tailed test

n : Sample Size

Sample Proportion

: Hypothesied Proportion

Given
Hypothesied Proportion :	0.2
Number of subjects who developed nausea x	51
Number of Trails : Sample Size : n	241
Sample Proportion : : x/n (i.e 51/241)	0.2116
Level of significance	0.10

For Right Tailed Test: Reject null hypothesis if Calculated value of Z is Greater than Critical Value ;

Critical Value of Z :

As Calculated Value of Z is less than Critical Value i.e. ( 0.4502<1.2816 ); Fail to Reject Null Hypothesis

Not sufficent evidence to reject the claim that percentage of users who develope nausea is 20%