The correct hypothesis statement for this golfer to prove his claim would be:
[tex]H_{0} :u\geq 90[/tex]
[tex]H_{1} :u < 90[/tex]
The golfer claims that his average score is less than 90.
Therefore, the null hypothesis is the opposite of what he claims
Null hypothesis [tex]H_{0}[/tex] is average score [tex]u[/tex] is greater than or equal to 90:
[tex]u \geq 90[/tex]
[tex]H_{0} :u\geq 90[/tex]
Alternative hypothesis [tex]H_{1}[/tex] is then the opposite of null hypothesis.
Hence alternate hypothesis [tex]H_{1}[/tex] is u< 90
[tex]H_{1} :u < 90[/tex]
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