In a survey, 33% of the respondents stated that they talk to their pets on the telephone. a veterinarian believed this result to be too high, so she randomly selected 150 pet owners and discovered that 46 of them spoke to their pet on the telephone. does the veterinarian have a right to be skeptical? use the alphaequals0.01 level of significance. what are the null and alternative hypotheses? use technology to find the p-value.

p value =0.544

Step-by-step explanation:

Given that in a survey,  33% of the respondents stated that they talk to their pets on the telephone.

(left tailed test at 1% level)

Sample proportion p =

Assuming H0 to be true, std error of proportion

=

p difference = -0.0233

Test statistic Z = p difference/std error

= -0.6067

p value = 0.544

Since p > alpha, we accept H0

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.