TOPIC: Solving Problems Involving Test of Hypothesis on Population Mean Fill in the blanks. 1. According to a study, pupils at Philippine Science High School (PSHS) have an average IQ of 120. The average IQ of a group of 25 students is 100, with a standard deviation of 10. Test the assertion that PSHS students have an IQ of 120 at the 5% level of signicance. Solution: Given: _ =_,u=120s'=_n=_a=_df=_ Step1: Ho:p=_Ha:p#_ Step 2: Determine the test statistic, then compute its value. Since n 0.32 0 Ho: p=0.72 Ha: p0.72 O Ho: p=0.'l2 Ha: p0.12 0 Ho: p=0.146 Ha: p0.'l46 The contractor claims that heat pumps are installed in ' 70% of all homes being constructed in Amaris Homes. If a random survey of new homes that subdivision shows that 18 out 40 had heat pumps installed, what would be the most appropriate null and alternative hypothesis on population proportion? O Ho: p=0.32 Ha: p>o.32 0 Ho: p=0.7o Ha:p0.70 O Ho: p=0.'l2 Ha: p:o.12 0 Ho: p=0.146 Ha: p0.146 Using 0.05 level of significance, if we run a ztest given that n=70. p"=3/10. po=10%, what would be the most appropriate null and alternative hypothesis on population proportion? O Ho: p=0.04 Ha: p0.04 O Ho: p>0.'lO Ha:p0.04 Ha: p0.02 Ha: p0.05 Ha: p0.10 0 Ho: p